# HG changeset patch # User Christian Urban # Date 1459355254 -3600 # Node ID f1be8028a4a99638e5910f3f473587a0c576bd71 # Parent 05e5d68c96274b5631b72294a48c5dc5f3fd539a updated diff -r 05e5d68c9627 -r f1be8028a4a9 .DS_Store Binary file .DS_Store has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Cookbook/main.html~ --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Cookbook/main.html~ Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,202 @@ + + + + + Isabelle Programming Tutorial + + + + +
+ + + + + + +
+

Aim

+ +There is already quite good documentation available for users to learn +how to interact with Isabelle and to use it for proving +theorems (see here). +However, the entry barrier for users to program on the ML-level of Isabelle +is still unbearably high. In this project we want to change this state +of affairs by providing a tutorial about ML-coding in Isabelle. +At its centre we describe the +implementation of a simple prototypical Isabelle package (we describe +a simplified version of the inductive package). We hope by +documenting every aspect of this package that in the future you will +be able to modify, extend and adapt this package for your own purposes, +see how developers code in Isabelle and understand better Isabelle's +idiosyncrasies. As a result you will be able to quickly produce code +for your own needs and will be able to participate in keeping Isabelle +alive in the long run. + +

+Specific topics of the tutorial we have not yet covered: + +

+

    +
  • First Steps +
      +
    • theories, contexts and local theories +
    • morphisms +
    • name spaces +
    +
  • Parsing +
      +
    • context-, argument- and attribute parsers +
    • parsing and printing translations +
    • methods +
    +
  • Tactical Reasoning +
      +
    • declarations +
    • structured proofs +
    +
  • Advanced Stuff +
      +
    • user-space type-systems +
    • typing algorithms +
    • external applications +
    +
+

+ +Please help us to expand on this list. + +

We need You

+ +We need help for accomplishing this tutorial. If you are familiar with the +ML-level of Isabelle, please get in contact with us (see addresses below). If you +are not familiar, but like to know more about the bits and pieces that make +up the Isabelle code, then let us know what you are interested in or what +project you like to implement. Above all we like to help future users and +developers of Isabelle; we do not want to end up with some "artificial documentation" +that is of nobody's help. Also proofreading and feedback would be most +appreciated. + +

People to contact

+ +The project is managed by + + + +There is also the following mailing list that is subscribed by all developers +and open for help, suggestions etc. about this project. +

+ +isabelle-dev@mailbroy.informatik.tu-muenchen.de +
+

+ +

Repository

+ +A preliminary +repository +is available and you are very welcome to contribute to it. The current draft of the tutorial is here. + +

Stable Version

+ +There is no real stable version of the Programming Tutorial yet. If you need a version +that is guaranteed to work with Isabelle 2011-1, then please get in touch with me +(christian.urban at kcl ac uk). + + +

What early readers said:

+ +

+ +My path towards HOL was from HOL Light, to HOL4, to Isabelle/HOL and +the Cookbook was essential for the last step (Piotr Trojanek, University of Bristol, 2014) + + +

+ +...and the Isabelle/ML Cookbook are valuable resources (Lars Hupel, 2014) + + +

+ +GREAT!!! That's exactly what I was looking for! (Thomas Genet, ISTIC/IRISA, 2012) + + +

+ +The tutorial really is quite nice. (Jeremy Avigad, CMU, 2011) + + +

+ +By the way, thanks for the Isabelle Cookbook, it's really helpful to +start with Isabelle/ML. (Mathieu Giorgino, 2011) + + +

+ +Great! This seems to have a lot of the missing pieces I couldn't find +in the tutorial and reference manual. (Kevin Van Horn, 2011) + + +

+ +I've been fighting for hours trying to derive some theorems automatically, +until Florian told me I should try using conversions and then I read the Cookbook +section and it solved my problem. The example with abs_conv in particular was +particularly illuminating. Thanks! (Jasmin Blanchette, TU Munich, 2010) + + +

+ The cook book seems really helpful, if not even exactly what I need. +(Nils Jähnig, FU Berlin, 2010) + +

+The Programming Tutorial has helped me tremendously to get familiar with +Isabelle, which I used in my bachelor thesis about the type-inference algorithm +in Isabelle. (Dmitriy Traytel, TU Munich, 2010) + +

+I've already pointed a couple of PhD students at the programming tutorial, and +they've already found it to be a great place to start with Isabelle +programming. (Lucas Dixon, University of Edinburgh, 2009) + +

+The Isabelle Programming Tutorial is great! I finally learned how to add +new keywords and how to parse outer syntax! (Amine Chaieb, University of Cambridge) + +

+I felt the programming tutorial was very clear and comprehensible. I'm +toying with actually getting back to Isabelle again. Thanks to +everyone involved in the documentation project. I really think it +is worthwhile. (Tom Ridge, University of Cambridge, 2009) + +

+I learned from the tutorial how to deal with fresh variables and also which function to use +for applying substitutions that are generated by unification. +(Lukas Bulwahn, TU Munich, 2009) + +

+ What a great resource! I wish I'd had this when I wrote my first +parser in December 2008. +(Timothy Bourke, UNSW Sydney, 2009) + +

+
+ + +
+
+ +

+

+[Validate this page.] + Last modified: Mon Oct 20 00:42:10 BST 2014 + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/LF/index.html~ --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/LF/index.html~ Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,55 @@ + + + + + The Nominal Datatype Package + + + + +

Mechanising the Metatheory of LF

+ +

by Christian Urban, James Cheney and Stefan Berghofer

+ +

Abstract

+ + LF is a dependent type theory in which many other formal systems can + be conveniently embedded. However, correct use of LF relies on + nontrivial metatheoretic developments such as proofs of correctness + of decision procedures for LF's judgments. Although detailed + informal proofs of these properties have been published, they have + not been formally verified in a theorem prover. We have formalized + these properties within Isabelle/HOL using + the Nominal Datatype Package, closely following a recent article by + Harper and Pfenning. In the process, we identified and resolved a + gap in one of the proofs and a small number of minor lacunae + in others. We also formally derive a version of the type checking + algorithm from which Isabelle/HOL can generate executable code. + Besides its intrinsic interest, our formalization + provides a foundation for studying the adequacy of LF encodings, the + correctness of Twelf-style metatheoretic reasoning, and the + metatheory of extensions to LF.

+ +Technical Report +[pdf]
+(This technical report contains in some sections more details of our development +than we presented in the LICS'08 paper, and also a new section on the +locally nameless representation of binders and on code generation.) +

+ +Nominal Isabelle Development +

(includes all three developments discussed in the technical report) +[LF.tgz] +

+

+ +Last modified: Fri Oct 23 17:42:50 CEST 2009 + +[Validate this page.] + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,180 @@ + + + + + The Nominal Datatype Package + + + + +

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+ + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/CK_Machine.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/CK_Machine.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,1826 @@ +(***************************************************************** + + Nominal Isabelle Tutorial + ------------------------- + + 11th August 2008, Sydney + + This file contains most of the material that will be covered in the + tutorial. The file can be "stepped through"; though it contains much + commented code (purple text). + +*) + +(***************************************************************** + + Proof General + ------------- + + Proof General is the front end for Isabelle. + + To run Nominal Isabelle proof-scripts you must have HOL-Nominal enabled in + the menu Isabelle -> Logics. You also need to enable X-Symbols in the menu + Proof-General -> Options (make sure to save this option once enabled). + + Proof General "paints" blue the part of the proof-script that has already + been processed by Isabelle. You can advance or retract the "frontier" of + this processed part using the "Next" and "Undo" buttons in the + menubar. "Goto" will process everything up to the current cursor position, + or retract if the cursor is inside the blue part. The key-combination + control-c control-return is a short-cut for the "Goto"-operation. + + Proof General gives feedback inside the "Response" and "Goals" buffers. + The response buffer will contain warning messages (in yellow) and + error messages (in red). Warning messages can generally be ignored. Error + messages must be dealt with in order to advance the proof script. The goal + buffer shows which goals need to be proved. The sole idea of interactive + theorem proving is to get the message "No subgoals." ;o) + +*) + +(***************************************************************** + + X-Symbols + --------- + + X-symbols provide a nice way to input non-ascii characters. For example: + + \, \, \, \, \, \, \, \, \, \, \ + + They need to be input via the combination \ + where name-of-x-symbol coincides with the usual latex name of + that symbol. + + However, there are some handy short-cuts for frequently used X-symbols. + For example + + [| \ \ + |] \ \ + ==> \ \ + => \ \ + --> \ \ + /\ \ \ + \/ \ \ + |-> \ \ + =_ \ \ + +*) + +(***************************************************************** + + Theories + -------- + + Every Isabelle proof-script needs to have a name and must import + some pre-existing theory. For Nominal Isabelle proof-scripts this will + normally be the theory Nominal, but we use here the theory Lambda.thy, + which extends Nominal with a definition for lambda-terms and capture- + avoiding substitution. + + BTW, the Nominal theory builds directly on Isabelle/HOL and extends it + only with some definitions and some reasoning infrastructure. It does not + add any new axiom to Isabelle/HOL. So you can trust what you are doing. ;o) + +*) + +theory CK_Machine + imports "Lambda" +begin + +text {***************************************************************** + + Types + ----- + + Isabelle is based, roughly, on the theory of simple types including some + polymorphism. It also includes some overloading, which means that sometimes + explicit type annotations need to be given. + + - Base types include: nat, bool, string, lam + + - Type formers include: 'a list, ('a\'b), 'c set + + - Type variables are written like in ML with an apostrophe: 'a, 'b, \ + + Types known to Isabelle can be queried using: + +*} + +typ nat +typ bool +typ lam (* the type for alpha-equated lambda-terms *) +typ "('a \ 'b)" (* product type *) +typ "'c set" (* set type *) +typ "nat \ bool" (* the type for functions from nat to bool *) + +(* These give errors: *) +(*typ boolean *) +(*typ set*) + + +text {***************************************************************** + + Terms + ----- + + Every term in Isabelle needs to be well-typed (however they can have polymorphic + type). Whether a term is accepted can be queried using: + +*} + +term c (* a variable of polymorphic type *) +term "1::nat" (* the constant 1 in natural numbers *) +term 1 (* the constant 1 with polymorphic type *) +term "{1, 2, 3::nat}" (* the set containing natural numbers 1, 2 and 3 *) +term "[1, 2, 3]" (* the list containing the polymorphic numbers 1, 2 and 3 *) +term "Lam [x].(Var x)" (* a lambda-term *) +term "App t1 t2" (* another lambda-term *) + +text {* + Isabelle provides some useful colour feedback about what are constants (in black), + free variables (in blue) and bound variables (in green). *} + +term "True" (* a constant that is defined in HOL *) +term "true" (* not recognised as a constant, therefore it is interpreted as a variable *) +term "\x. P x" (* x is bound, P is free *) + +text {* Every formula in Isabelle needs to have type bool *} + +term "True" +term "True \ False" +term "{1,2,3} = {3,2,1}" +term "\x. P x" +term "A \ B" + +text {* + When working with Isabelle, one is confronted with an object logic (that is HOL) + and Isabelle's meta-logic (called Pure). Sometimes one has to pay attention + to this fact. *} + +term "A \ B" (* versus *) +term "A \ B" + +term "\x. P x" (* versus *) +term "\x. P x" + +term "A \ B \ C" (* is synonymous with *) +term "\A; B\ \ C" + + +text {***************************************************************** + + Inductive Definitions: The Evaluation Judgement and the Value Predicate + ----------------------------------------------------------------------- + + Inductive definitions start with the keyword "inductive" and a predicate name. + One also needs to provide a type for the predicate. Clauses of the inductive + predicate are introduced by "where" and more than two clauses need to be + separated by "|". Optionally one can give a name to each clause and indicate + that it should be added to the hints database ("[intro]"). A typical clause + has some premises and a conclusion. This is written in Isabelle as: + + "premise \ conclusion" + "\premise1; premise2; \ \ \ conclusion" + + If no premise is present, then one just writes + + "conclusion" + + Below we define the evaluation judgement for lambda-terms. This definition + introduces the predicate named "eval". After giving its type, we declare + the usual pretty syntax _ \ _. In this declaration _ stands for an argument + of eval. + +*} + +inductive + eval :: "lam \ lam \ bool" ("_ \ _") +where + e_Lam: "Lam [x].t \ Lam [x].t" +| e_App: "\t1 \ Lam [x].t; t2 \ v'; t[x::=v'] \ v\ \ App t1 t2 \ v" + +declare eval.intros[intro] + +text {* + Values are also defined using inductive. In our case values + are just lambda-abstractions. *} + +inductive + val :: "lam \ bool" +where + v_Lam[intro]: "val (Lam [x].t)" + + +text {***************************************************************** + + Theorems + -------- + + A central concept in Isabelle is that of theorems. Isabelle's theorem + database can be queried using + +*} + +thm e_Lam +thm e_App +thm conjI +thm conjunct1 + +text {* + Notice that theorems usually contain schematic variables (e.g. ?P, ?Q, \). + These schematic variables can be substituted with any term (of the right type + of course). It is sometimes useful to suppress the "?" from the schematic + variables. This can be achieved by using the attribute "[no_vars]". *} + +thm e_Lam[no_vars] +thm e_App[no_vars] +thm conjI[no_vars] +thm conjunct1[no_vars] + + +text {* + When defining the predicate eval, Isabelle provides us automatically with + the following theorems that state how evaluation judgments can be introduced + and what constitutes an induction over the predicate eval. *} + +thm eval.intros[no_vars] +thm eval.induct[no_vars] + +text {***************************************************************** + + Lemma / Theorem / Corollary Statements + -------------------------------------- + + Whether to use lemma, theorem or corollary makes no semantic difference + in Isabelle. A lemma starts with "lemma" and consists of a statement + ("shows \") and optionally a lemma name, some type-information for + variables ("fixes \") and some assumptions ("assumes \"). Lemmas + also need to have a proof, but ignore this 'detail' for the moment. + +*} + +lemma alpha_equ: + shows "Lam [x].Var x = Lam [y].Var y" +by (simp add: lam.inject alpha swap_simps fresh_atm) + +lemma Lam_freshness: + assumes a: "x\y" + shows "y\Lam [x].t \ y\t" +using a by (simp add: abs_fresh) + +lemma neutral_element: + fixes x::"nat" + shows "x + 0 = x" +by simp + + +text {***************************************************************** + + Datatypes: Evaluation Contexts + ------------------------------ + + Datatypes can be defined in Isabelle as follows: we have to provide the name + of the datatype and list its type-constructors. Each type-constructor needs + to have the information about the types of its arguments, and optionally + can also contain some information about pretty syntax. For example, we like + to write "\" for holes. + +*} + +datatype ctx = + Hole ("\") + | CAppL "ctx" "lam" + | CAppR "lam" "ctx" + +text {* Now Isabelle knows about: *} + +typ ctx +term "\" +term "CAppL" +term "CAppL \ (Var x)" + +text {* + + 1.) MINI EXERCISE + ----------------- + + Try and see what happens if you apply a Hole to a Hole? + +*} + + +text {***************************************************************** + + The CK Machine + -------------- + + The CK machine is also defined using an inductive predicate with four + arguments. The idea behind this abstract machine is to transform, or reduce, + a configuration consisting of a lambda-term and a framestack (a list of + contexts), to a new configuration. + + We use the type abbreviation "ctxs" for the type for framestacks. + + The pretty syntax for the CK machine is <_,_> \ <_,_>. + +*} + +types ctxs = "ctx list" + +inductive + machine :: "lam \ ctxs \lam \ ctxs \ bool" ("<_,_> \ <_,_>") +where + m1[intro]: " \ t2)#Es>" +| m2[intro]: "val v \ t2)#Es> \ )#Es>" +| m3[intro]: "val v \ )#Es> \ " + + +text {* + Since the machine defined above only performs a single reduction, + we need to define the transitive closure of this machine. *} + +inductive + machines :: "lam \ ctxs \ lam \ ctxs \ bool" ("<_,_> \* <_,_>") +where + ms1[intro]: " \* " +| ms2[intro]: "\ \ ; \* \ \ \* " + + +text {***************************************************************** + + Isar Proofs + ----------- + + Isar is a language for writing down proofs that can be understood by humans + and by Isabelle. An Isar proof can be thought of as a sequence of 'stepping stones' + that start with the assumptions and lead to the goal to be established. Every such + stepping stone is introduced by "have" followed by the statement of the stepping + stone. An exception is the goal to be proved, which need to be introduced with "show". + + Since proofs usually do not proceed in a linear fashion, a label can be given + to each stepping stone and then used later to refer to this stepping stone + ("using"). + + Each stepping stone (or have-statement) needs to have a justification. The + simplest justification is "sorry" which admits any stepping stone, even false + ones (this is good during the development of proofs). Assumption can be + "justified" using "by fact". Derived facts can be justified using + + - by simp (* simplification *) + - by auto (* proof search and simplification *) + - by blast (* only proof search *) + + If facts or lemmas are needed in order to justify a have-statement, then + one can feed these facts into the proof by using "using label \" or + "using theorem-name \". More than one label at the time is allowed. + + Induction proofs in Isar are set up by indicating over which predicate(s) + the induction proceeds ("using a b") followed by the command "proof (induct)". + In this way, Isabelle uses default settings for which induction should + be performed. These default settings can be overridden by giving more + information, like the variable over which a structural induction should + proceed, or a specific induction principle such as well-founded inductions. + + After the induction is set up, the proof proceeds by cases. In Isar these + cases can be given in any order, but must be started with "case" and the + name of the case, and optionally some legible names for the variables + referred to inside the case. + + The possible case-names can be found by looking inside the menu "Isabelle -> + Show me -> cases". In each "case", we need to establish a statement introduced + by "show". Once this has been done, the next case can be started using "next". + When all cases are completed, the proof can be finished using "qed". + + This means a typical induction proof has the following pattern + + proof (induct) + case \ + \ + show \ + next + case \ + \ + show \ + \ + qed + + The four lemmas are by induction on the predicate machines. All proofs establish + the same property, namely a transitivity rule for machines. The complete Isar + proofs are given for the first three proofs. The point of these three proofs is + that each proof increases the readability for humans. + +*} + +text {***************************************************************** + + 2.) EXERCISE + ------------ + + Remove the sorries in the proof below and fill in the correct + justifications. +*} + +lemma + assumes a: " \* " + and b: " \* " + shows " \* " +using a b +proof(induct) + case (ms1 e1 Es1) + have c: " \* " by fact + show " \* " sorry +next + case (ms2 e1 Es1 e2 Es2 e2' Es2') + have ih: " \* \ \* " by fact + have d1: " \* " by fact + have d2: " \ " by fact + + show " \* " sorry +qed + +text {* + Just like gotos in the Basic programming language, labels can reduce + the readability of proofs. Therefore one can use in Isar the notation + "then have" in order to feed a have-statement to the proof of + the next have-statement. In the proof below this has been used + in order to get rid of the labels c and d1. +*} + +lemma + assumes a: " \* " + and b: " \* " + shows " \* " +using a b +proof(induct) + case (ms1 e1 Es1) + show " \* " by fact +next + case (ms2 e1 Es1 e2 Es2 e2' Es2') + have ih: " \* \ \* " by fact + have " \* " by fact + then have d3: " \* " using ih by simp + have d2: " \ " by fact + show " \* " using d2 d3 by auto +qed + +text {* + The labels d2 and d3 cannot be got rid of in this way, because both + facts are needed to prove the show-statement. We can still avoid the + labels by feeding a sequence of facts into a proof using the chaining + mechanism: + + have "statement1" \ + moreover + have "statement2" \ + \ + moreover + have "statementn" \ + ultimately have "statement" \ + + In this chain, all "statementi" can be used in the proof of the final + "statement". With this we can simplify our proof further to: +*} + +lemma + assumes a: " \* " + and b: " \* " + shows " \* " +using a b +proof(induct) + case (ms1 e1 Es1) + show " \* " by fact +next + case (ms2 e1 Es1 e2 Es2 e2' Es2') + have ih: " \* \ \* " by fact + have " \* " by fact + then have " \* " using ih by simp + moreover + have " \ " by fact + ultimately show " \* " by auto +qed + +text {* + While automatic proof procedures in Isabelle are not able to prove statements + like "P = NP" assuming usual definitions for P and NP, they can automatically + discharge the lemma we just proved. For this we only have to set up the induction + and auto will take care of the rest. This means we can write: +*} + +lemma ms3[intro]: + assumes a: " \* " + and b: " \* " + shows " \* " +using a b by (induct) (auto) + +text {* + The attribute [intro] indicates that this lemma should be from now on used in + any proof obtained by "auto" or "blast". +*} + + +text {***************************************************************** + + A simple fact we need later on is that if t \ t' then t' is a value. + +*} + +lemma eval_to_val: + assumes a: "t \ t'" + shows "val t'" +using a by (induct) (auto) + + +text {***************************************************************** + + 3.) EXERCISE + ------------ + + Fill in the details in the proof below. The proof will establish the fact + that if t \ t' then \* . As can be seen, the proof is by + induction on the definition of eval. If you want to know how the predicates + machine and machines can be introduced, then use + + thm machine.intros[no_vars] + thm machines.intros[no_vars] + +*} + +theorem + assumes a: "t \ t'" + shows " \* " +using a +proof (induct) + case (e_Lam x t) + (* no assumptions *) + show " \* " sorry +next + case (e_App t1 x t t2 v' v) + (* all assumptions in this case *) + have a1: "t1 \ Lam [x].t" by fact + have ih1: " \* " by fact + have a2: "t2 \ v'" by fact + have ih2: " \* " by fact + have a3: "t[x::=v'] \ v" by fact + have ih3: " \* " by fact + (* your details *) + show " \* " sorry +qed + +text {* + Again the automatic tools in Isabelle can discharge automatically + of the routine work in these proofs. We can write: *} + +theorem eval_implies_machines_ctx: + assumes a: "t \ t'" + shows " \* " +using a +by (induct arbitrary: Es) + (metis eval_to_val machine.intros ms1 ms2 ms3 v_Lam)+ + +corollary eval_implies_machines: + assumes a: "t \ t'" + shows " \* " +using a eval_implies_machines_ctx by simp + +text {***************************************************************** + + The Weakening Lemma + ------------------- + + The proof of the weakening lemma is often said to be simple, + routine or trivial. Below we will see how this lemma can be + proved in Nominal Isabelle. First we define types, which + we however do not define as datatypes, but as nominal datatypes. + +*} + +nominal_datatype ty = + tVar "string" +| tArr "ty" "ty" ("_ \ _") + +text {* + Having defined them as nominal datatypes gives us additional + definitions and theorems that come with types (see below). + *} + +text {* + We next define the type of typing contexts, a predicate that + defines valid contexts (i.e. lists that contain only unique + variables) and the typing judgement. + +*} + +types ty_ctx = "(name\ty) list" + +inductive + valid :: "ty_ctx \ bool" +where + v1[intro]: "valid []" +| v2[intro]: "\valid \; x\\\\ valid ((x,T)#\)" + +inductive + typing :: "ty_ctx \ lam \ ty \ bool" ("_ \ _ : _") +where + t_Var[intro]: "\valid \; (x,T)\set \\ \ \ \ Var x : T" +| t_App[intro]: "\\ \ t1 : T1\T2; \ \ t2 : T1\ \ \ \ App t1 t2 : T2" +| t_Lam[intro]: "\x\\; (x,T1)#\ \ t : T2\ \ \ \ Lam [x].t : T1 \ T2" + + +text {* + The predicate x\\, read as x fresh for \, is defined by Nominal Isabelle. + Freshness is defined for lambda-terms, products, lists etc. For example + we have: + *} + +lemma + fixes x::"name" + shows "x\Lam [x].t" + and "x\(t1,t2) \ x\App t1 t2" + and "x\(Var y) \ x\y" + and "\x\t1; x\t2\ \ x\(t1,t2)" + and "\x\l1; x\l2\ \ x\(l1@l2)" + and "x\y \ x\y" +by (simp_all add: abs_fresh fresh_prod fresh_list_append fresh_atm) + +text {* We can also prove that every variable is fresh for a type *} + +lemma ty_fresh: + fixes x::"name" + and T::"ty" + shows "x\T" +by (induct T rule: ty.induct) + (simp_all add: fresh_string) + +text {* + In order to state the weakening lemma in a convenient form, we overload + the subset-notation and define the abbreviation below. Abbreviations behave + like definitions, except that they are always automatically folded and + unfolded. +*} + +abbreviation + "sub_ty_ctx" :: "ty_ctx \ ty_ctx \ bool" ("_ \ _") +where + "\1 \ \2 \ \x. x \ set \1 \ x \ set \2" + +text {***************************************************************** + + 4.) Exercise + ------------ + + Fill in the details and give a proof of the weakening lemma. + +*} + +lemma + fixes \1 \2::"(name\ty) list" + assumes a: "\1 \ t : T" + and b: "valid \2" + and c: "\1 \ \2" + shows "\2 \ t : T" +using a b c +proof (induct arbitrary: \2) + case (t_Var \1 x T) + have a1: "valid \1" by fact + have a2: "(x,T) \ set \1" by fact + have a3: "valid \2" by fact + have a4: "\1 \ \2" by fact + + show "\2 \ Var x : T" sorry +next + case (t_Lam x \1 T1 t T2) + have ih: "\\3. \valid \3; (x,T1)#\1 \ \3\ \ \3 \ t : T2" by fact + have a0: "x\\1" by fact + have a1: "valid \2" by fact + have a2: "\1 \ \2" by fact + + show "\2 \ Lam [x].t : T1 \ T2" sorry +qed (auto) + + +text {* + Despite the frequent claim that the weakening lemma is trivial, + routine or obvious, the proof in the lambda-case does not go + smoothly through. Painful variable renamings seem to be necessary. + But the proof using renamings is horribly complicated. It is really + interesting whether people who claim this proof is trivial, routine + or obvious had this proof in mind. + + BTW: The following two commands help already with showing that validity + and typing are invariant under variable (permutative) renamings. +*} + +equivariance valid +equivariance typing + +lemma not_to_be_tried_at_home_weakening: + fixes \1 \2::"(name\ty) list" + assumes a: "\1 \ t : T" + and b: "valid \2" + and c: "\1 \ \2" + shows "\2 \ t : T" +using a b c +proof (induct arbitrary: \2) + case (t_Lam x \1 T1 t T2) (* lambda case *) + have fc0: "x\\1" by fact + have ih: "\\3. \valid \3; (x,T1)#\1 \ \3\ \ \3 \ t : T2" by fact + obtain c::"name" where fc1: "c\(x,t,\1,\2)" (* we obtain a fresh name *) + by (rule exists_fresh) (auto simp add: fs_name1) + have "Lam [c].([(c,x)]\t) = Lam [x].t" using fc1 (* we then alpha-rename the lambda-abstraction *) + by (auto simp add: lam.inject alpha fresh_prod fresh_atm) + moreover + have "\2 \ Lam [c].([(c,x)]\t) : T1 \ T2" (* we can then alpha-rename our original goal *) + proof - + (* we establish (x,T1)#\1 \ (x,T1)#([(c,x)]\\2) and valid ((x,T1)#([(c,x)]\\2)) *) + have "(x,T1)#\1 \ (x,T1)#([(c,x)]\\2)" + proof - + have "\1 \ \2" by fact + then have "[(c,x)]\((x,T1)#\1 \ (x,T1)#([(c,x)]\\2))" using fc0 fc1 + by (perm_simp add: eqvts calc_atm perm_fresh_fresh ty_fresh) + then show "(x,T1)#\1 \ (x,T1)#([(c,x)]\\2)" by (rule perm_boolE) + qed + moreover + have "valid ((x,T1)#([(c,x)]\\2))" + proof - + have "valid \2" by fact + then show "valid ((x,T1)#([(c,x)]\\2))" using fc1 + by (auto intro!: v2 simp add: fresh_left calc_atm eqvts) + qed + (* these two facts give us by induction hypothesis the following *) + ultimately have "(x,T1)#([(c,x)]\\2) \ t : T2" using ih by simp + (* we now apply renamings to get to our goal *) + then have "[(c,x)]\((x,T1)#([(c,x)]\\2) \ t : T2)" by (rule perm_boolI) + then have "(c,T1)#\2 \ ([(c,x)]\t) : T2" using fc1 + by (perm_simp add: eqvts calc_atm perm_fresh_fresh ty_fresh) + then show "\2 \ Lam [c].([(c,x)]\t) : T1 \ T2" using fc1 by auto + qed + ultimately show "\2 \ Lam [x].t : T1 \ T2" by simp +qed (auto) (* var and app cases *) + + +text {* + The remedy to the complicated proof of the weakening proof + shown above is to use a stronger induction principle that + has the usual variable convention already build in. The + following command derives this induction principle for us. + (We shall explain what happens here later.) + +*} + +nominal_inductive typing + by (simp_all add: abs_fresh ty_fresh) + +text {* Compare the two induction principles *} +thm typing.induct[no_vars] +thm typing.strong_induct[no_vars] + +text {* + We can use the stronger induction principle by replacing + the line + + proof (induct arbitrary: \2) + + with + + proof (nominal_induct avoiding: \2 rule: typing.strong_induct) + + Try now the proof. + +*} + + +lemma + fixes \1 \2::"(name\ty) list" + and t ::"lam" + and \ ::"ty" + assumes a: "\1 \ t : T" + and b: "valid \2" + and c: "\1 \ \2" + shows "\2 \ t : T" +using a b c +proof (nominal_induct avoiding: \2 rule: typing.strong_induct) + case (t_Var \1 x T) (* variable case *) + have "\1 \ \2" by fact + moreover + have "valid \2" by fact + moreover + have "(x,T)\ set \1" by fact + ultimately show "\2 \ Var x : T" by auto +next + case (t_Lam x \1 T1 t T2) + have vc: "x\\2" by fact (* additional fact *) + have ih: "\\3. \valid \3; (x,T1)#\1 \ \3\ \ \3 \ t : T2" by fact + have a0: "x\\1" by fact + have a1: "valid \2" by fact + have a2: "\1 \ \2" by fact + + show "\2 \ Lam [x].t : T1 \ T2" sorry +qed (auto) (* app case *) + +text {* + Since we can use the stronger induction principle, the + proof of the weakening lemma can actually be found + automatically by Isabelle. Maybe the weakening lemma + is actually trivial (in Nominal Isabelle ;o). +*} + +lemma weakening: + fixes \1 \2::"ty_ctx" + assumes a: "\1 \ t : T" + and b: "valid \2" + and c: "\1 \ \2" + shows "\2 \ t : T" +using a b c +by (nominal_induct avoiding: \2 rule: typing.strong_induct) + (auto) + + +text {***************************************************************** + + Function Definitions: Filling a Lambda-Term into a Context + ---------------------------------------------------------- + + Many functions over datatypes can be defined by recursion on the + structure. For this purpose, Isabelle provides "fun". To use it one needs + to give a name for the function, its type, optionally some pretty-syntax + and then some equations defining the function. Like in "inductive", + "fun" expects that more than one such equation is separated by "|". + +*} + +fun + filling :: "ctx \ lam \ lam" ("_\_\") +where + "\\t\ = t" +| "(CAppL E t')\t\ = App (E\t\) t'" +| "(CAppR t' E)\t\ = App t' (E\t\)" + +text {* + After this definition Isabelle will be able to simplify + statements like: *} + +lemma + shows "(CAppL \ (Var x))\Var y\ = App (Var y) (Var x)" + by simp + + +fun + ctx_compose :: "ctx \ ctx \ ctx" ("_ \ _" [101,100] 100) +where + "\ \ E' = E'" +| "(CAppL E t') \ E' = CAppL (E \ E') t'" +| "(CAppR t' E) \ E' = CAppR t' (E \ E')" + +fun + ctx_composes :: "ctxs \ ctx" ("_\" [110] 110) +where + "[]\ = \" + | "(E#Es)\ = (Es\) \ E" + +text {* + Notice that we not just have given a pretty syntax for the functions, but + also some precedences..The numbers inside the [\] stand for the precedences + of the arguments; the one next to it the precedence of the whole term. + + This means we have to write (Es1 \ Es2) \ Es3 otherwise Es1 \ Es2 \ Es3 is + interpreted as Es1 \ (Es2 \ Es3). +*} + +text {****************************************************************** + + Structural Inductions over Contexts + ------------------------------------ + + So far we have had a look at an induction over an inductive predicate. + Another important induction principle is structural inductions for + datatypes. To illustrate structural inductions we prove some facts + about context composition, some of which we will need later on. + +*} + +text {****************************************************************** + + 5.) EXERCISE + ------------ + + Complete the proof and remove the sorries. + +*} + +lemma ctx_compose: + shows "(E1 \ E2)\t\ = E1\E2\t\\" +proof (induct E1) + case Hole + show "\ \ E2\t\ = \\E2\t\\" sorry +next + case (CAppL E1 t') + have ih: "(E1 \ E2)\t\ = E1\E2\t\\" by fact + show "((CAppL E1 t') \ E2)\t\ = (CAppL E1 t')\E2\t\\" sorry +next + case (CAppR t' E1) + have ih: "(E1 \ E2)\t\ = E1\E2\t\\" by fact + show "((CAppR t' E1) \ E2)\t\ = (CAppR t' E1)\E2\t\\" sorry +qed + + +text {****************************************************************** + + 6.) EXERCISE + ------------ + + Prove associativity of \ using the lemmas neut_hole and circ_assoc. + +*} + +lemma neut_hole: + shows "E \ \ = E" +by (induct E) (simp_all) + +lemma circ_assoc: + fixes E1 E2 E3::"ctx" + shows "(E1 \ E2) \ E3 = E1 \ (E2 \ E3)" +by (induct E1) (simp_all) + +lemma + shows "(Es1@Es2)\ = (Es2\) \ (Es1\)" +proof (induct Es1) + case Nil + show "([]@Es2)\ = Es2\ \ []\" sorry +next + case (Cons E Es1) + have ih: "(Es1@Es2)\ = Es2\ \ Es1\" by fact + + show "((E#Es1)@Es2)\ = Es2\ \ (E#Es1)\" sorry +qed + + +text {* + The last proof involves several steps of equational reasoning. + Isar provides some convenient means to express such equational + reasoning in a much cleaner fashion using the "also have" + construction. *} + +lemma + shows "(Es1@Es2)\ = (Es2\) \ (Es1\)" +proof (induct Es1) + case Nil + show "([]@Es2)\ = Es2\ \ []\" using neut_hole by simp +next + case (Cons E Es1) + have ih: "(Es1@Es2)\ = Es2\ \ Es1\" by fact + have "((E#Es1)@Es2)\ = (Es1@Es2)\ \ E" by simp + also have "\ = (Es2\ \ Es1\) \ E" using ih by simp + also have "\ = Es2\ \ (Es1\ \ E)" using circ_assoc by simp + also have "\ = Es2\ \ (E#Es1)\" by simp + finally show "((E#Es1)@Es2)\ = Es2\ \ (E#Es1)\" by simp +qed + + +text {****************************************************************** + + Formalising Barendregt's Proof of the Substitution Lemma + -------------------------------------------------------- + + Barendregt's proof needs in the variable case a case distinction. + One way to do this in Isar is to use blocks. A block is some sequent + or reasoning steps enclosed in curly braces + + { \ + + have "statement" + } + + Such a block can contain local assumptions like + + { assume "A" + assume "B" + \ + have "C" by \ + } + + Where "C" is the last have-statement in this block. The behaviour + of such a block to the 'outside' is the implication + + \A; B\ \ "C" + + Now if we want to prove a property "smth" using the case-distinctions + P\<^isub>1, P\<^isub>2 and P\<^isub>3 then we can use the following reasoning: + + { assume "P\<^isub>1" + \ + have "smth" + } + moreover + { assume "P\<^isub>2" + \ + have "smth" + } + moreover + { assume "P\<^isub>3" + \ + have "smth" + } + ultimately have "smth" by blast + + The blocks establish the implications + + P\<^isub>1 \ smth + P\<^isub>2 \ smth + P\<^isub>3 \ smth + + If we know that P\<^isub>1, P\<^isub>2 and P\<^isub>3 cover all the cases, that is P\<^isub>1 \ P\<^isub>2 \ P\<^isub>3 is + true, then we have 'ultimately' established the property "smth" + +*} + +text {****************************************************************** + + 7.) Exercise + ------------ + + Fill in the cases 1.2 and 1.3 and the equational reasoning + in the lambda-case. +*} + +thm forget[no_vars] +thm fresh_fact[no_vars] + +lemma + assumes a: "x\y" + and b: "x\L" + shows "M[x::=N][y::=L] = M[y::=L][x::=N[y::=L]]" +using a b +proof (nominal_induct M avoiding: x y N L rule: lam.strong_induct) + case (Var z) + have a1: "x\y" by fact + have a2: "x\L" by fact + show "Var z[x::=N][y::=L] = Var z[y::=L][x::=N[y::=L]]" (is "?LHS = ?RHS") + proof - + { (*Case 1.1*) + assume c1: "z=x" + have "(1)": "?LHS = N[y::=L]" using c1 by simp + have "(2)": "?RHS = N[y::=L]" using c1 a1 by simp + have "?LHS = ?RHS" using "(1)" "(2)" by simp + } + moreover + { (*Case 1.2*) + assume c2: "z=y" "z\x" + + have "?LHS = ?RHS" sorry + } + moreover + { (*Case 1.3*) + assume c3: "z\x" "z\y" + + have "?LHS = ?RHS" sorry + } + ultimately show "?LHS = ?RHS" by blast + qed +next + case (Lam z M1) (* case 2: lambdas *) + have ih: "\x\y; x\L\ \ M1[x::=N][y::=L] = M1[y::=L][x::=N[y::=L]]" by fact + have a1: "x\y" by fact + have a2: "x\L" by fact + have fs: "z\x" "z\y" "z\N" "z\L" by fact+ + then have b: "z\N[y::=L]" by (simp add: fresh_fact) + show "(Lam [z].M1)[x::=N][y::=L] = (Lam [z].M1)[y::=L][x::=N[y::=L]]" (is "?LHS=?RHS") + proof - + have "?LHS = \" sorry + + also have "\ = ?RHS" sorry + finally show "?LHS = ?RHS" by simp + qed +next + case (App M1 M2) (* case 3: applications *) + then show "(App M1 M2)[x::=N][y::=L] = (App M1 M2)[y::=L][x::=N[y::=L]]" by simp +qed + +text {* + Again the strong induction principle enables Isabelle to find + the proof of the substitution lemma automatically. +*} + +lemma substitution_lemma_version: + assumes asm: "x\y" "x\L" + shows "M[x::=N][y::=L] = M[y::=L][x::=N[y::=L]]" + using asm +by (nominal_induct M avoiding: x y N L rule: lam.strong_induct) + (auto simp add: fresh_fact forget) + +text {****************************************************************** + + The CBV Reduction Relation (Small-Step Semantics) + ------------------------------------------------- + + In order to establish the property that the CK Machine + calculates a nomrmalform which corresponds to the + evaluation relation, we introduce the call-by-value + small-step semantics. + +*} + +inductive + cbv :: "lam\lam\bool" ("_ \cbv _") +where + cbv1: "\val v; x\v\ \ App (Lam [x].t) v \cbv t[x::=v]" +| cbv2[intro]: "t \cbv t' \ App t t2 \cbv App t' t2" +| cbv3[intro]: "t \cbv t' \ App t2 t \cbv App t2 t'" + +equivariance val +equivariance cbv +nominal_inductive cbv + by (simp_all add: abs_fresh fresh_fact) + +text {* + In order to satisfy the vc-condition we have to formulate + this relation with the additional freshness constraint + x\v. Though this makes the definition vc-ompatible, it + makes the definition less useful. We can with some pain + show that the more restricted rule is equivalent to the + usual rule. *} + +thm subst_rename + +lemma better_cbv1[intro]: + assumes a: "val v" + shows "App (Lam [x].t) v \cbv t[x::=v]" +proof - + obtain y::"name" where fs: "y\(x,t,v)" by (rule exists_fresh) (auto simp add: fs_name1) + have "App (Lam [x].t) v = App (Lam [y].([(y,x)]\t)) v" using fs + by (auto simp add: lam.inject alpha' fresh_prod fresh_atm) + also have "\ \cbv ([(y,x)]\t)[y::=v]" using fs a by (auto intro: cbv1) + also have "\ = t[x::=v]" using fs by (simp add: subst_rename[symmetric]) + finally show "App (Lam [x].t) v \cbv t[x::=v]" by simp +qed + +text {* + The transitive closure of the cbv-reduction relation: *} + +inductive + "cbvs" :: "lam\lam\bool" (" _ \cbv* _") +where + cbvs1[intro]: "e \cbv* e" +| cbvs2[intro]: "\e1\cbv e2; e2 \cbv* e3\ \ e1 \cbv* e3" + +lemma cbvs3[intro]: + assumes a: "e1 \cbv* e2" "e2 \cbv* e3" + shows "e1 \cbv* e3" +using a by (induct) (auto) + +text {****************************************************************** + + 8.) Exercise + ------------ + + If more simple exercises are needed, then complete the following proof. + +*} + +lemma cbv_in_ctx: + assumes a: "t \cbv t'" + shows "E\t\ \cbv E\t'\" +using a +proof (induct E) + case Hole + have "t \cbv t'" by fact + then show "\\t\ \cbv \\t'\" sorry +next + case (CAppL E s) + have ih: "t \cbv t' \ E\t\ \cbv E\t'\" by fact + have a: "t \cbv t'" by fact + show "(CAppL E s)\t\ \cbv (CAppL E s)\t'\" sorry +next + case (CAppR s E) + have ih: "t \cbv t' \ E\t\ \cbv E\t'\" by fact + have a: "t \cbv t'" by fact + show "(CAppR s E)\t\ \cbv (CAppR s E)\t'\" sorry +qed + + +text {****************************************************************** + + 9.) Exercise + ------------ + + The point of the cbv-reduction was that we can easily relatively + establish the follwoing property: + +*} + +lemma machine_implies_cbvs_ctx: + assumes a: " \ " + shows "(Es\)\e\ \cbv* (Es'\)\e'\" +using a +proof (induct) + case (m1 t1 t2 Es) + + show "Es\\App t1 t2\ \cbv* ((CAppL \ t2)#Es)\\t1\" sorry +next + case (m2 v t2 Es) + have "val v" by fact + + show "((CAppL \ t2)#Es)\\v\ \cbv* (CAppR v \ # Es)\\t2\" sorry +next + case (m3 v x t Es) + have "val v" by fact + + show "(((CAppR (Lam [x].t) \)#Es)\)\v\ \cbv* (Es\)\t[x::=v]\" sorry +qed + +text {* + It is not difficult to extend the lemma above to + arbitrary reductions sequences of the CK machine. *} + +lemma machines_implies_cbvs_ctx: + assumes a: " \* " + shows "(Es\)\e\ \cbv* (Es'\)\e'\" +using a +by (induct) (auto dest: machine_implies_cbvs_ctx) + +text {* + So whenever we let the CL machine start in an initial + state and it arrives at a final state, then there exists + a corresponding cbv-reduction sequence. *} + +corollary machines_implies_cbvs: + assumes a: " \* " + shows "e \cbv* e'" +using a by (auto dest: machines_implies_cbvs_ctx) + +text {* + We now want to relate the cbv-reduction to the evaluation + relation. For this we need two auxiliary lemmas. *} + +lemma eval_val: + assumes a: "val t" + shows "t \ t" +using a by (induct) (auto) + +lemma e_App_elim: + assumes a: "App t1 t2 \ v" + shows "\x t v'. t1 \ Lam [x].t \ t2 \ v' \ t[x::=v'] \ v" +using a by (cases) (auto simp add: lam.inject) + +text {****************************************************************** + + 10.) Exercise + ------------- + + Complete the first case in the proof below. + +*} + +lemma cbv_eval: + assumes a: "t1 \cbv t2" "t2 \ t3" + shows "t1 \ t3" +using a +proof(induct arbitrary: t3) + case (cbv1 v x t t3) + have a1: "val v" by fact + have a2: "t[x::=v] \ t3" by fact + + show "App Lam [x].t v \ t3" sorry +next + case (cbv2 t t' t2 t3) + have ih: "\t3. t' \ t3 \ t \ t3" by fact + have "App t' t2 \ t3" by fact + then obtain x t'' v' + where a1: "t' \ Lam [x].t''" + and a2: "t2 \ v'" + and a3: "t''[x::=v'] \ t3" using e_App_elim by blast + have "t \ Lam [x].t''" using ih a1 by auto + then show "App t t2 \ t3" using a2 a3 by auto +qed (auto dest!: e_App_elim) + + +text {* + Next we extend the lemma above to arbitray initial + sequences of cbv-reductions. *} + +lemma cbvs_eval: + assumes a: "t1 \cbv* t2" "t2 \ t3" + shows "t1 \ t3" +using a by (induct) (auto intro: cbv_eval) + +text {* + Finally, we can show that if from a term t we reach a value + by a cbv-reduction sequence, then t evaluates to this value. *} + +lemma cbvs_implies_eval: + assumes a: "t \cbv* v" "val v" + shows "t \ v" +using a +by (induct) (auto intro: eval_val cbvs_eval) + +text {* + All facts tied together give us the desired property about + K machines. *} + +theorem machines_implies_eval: + assumes a: " \* " + and b: "val t2" + shows "t1 \ t2" +proof - + have "t1 \cbv* t2" using a by (simp add: machines_implies_cbvs) + then show "t1 \ t2" using b by (simp add: cbvs_implies_eval) +qed + +text {****************************************************************** + + Formalising a Type-Soundness and Progress Lemma for CBV + ------------------------------------------------------- + + The central lemma for type-soundness is type-substitutity. In + our setting type-substitutivity is slightly painful to establish. + +*} + +lemma valid_elim: + assumes a: "valid ((x,T)#\)" + shows "x\\ \ valid \" +using a by (cases) (auto) + +lemma valid_insert: + assumes a: "valid (\@[(x,T)]@\)" + shows "valid (\@\)" +using a +by (induct \) + (auto simp add: fresh_list_append fresh_list_cons dest!: valid_elim) + +lemma fresh_list: + shows "y\xs = (\x\set xs. y\x)" +by (induct xs) (simp_all add: fresh_list_nil fresh_list_cons) + +lemma context_unique: + assumes a1: "valid \" + and a2: "(x,T) \ set \" + and a3: "(x,U) \ set \" + shows "T = U" +using a1 a2 a3 +by (induct) (auto simp add: fresh_list fresh_prod fresh_atm) + +lemma type_substitution_aux: + assumes a: "(\@[(x,T')]@\) \ e : T" + and b: "\ \ e' : T'" + shows "(\@\) \ e[x::=e'] : T" +using a b +proof (nominal_induct \'\"\@[(x,T')]@\" e T avoiding: x e' \ rule: typing.strong_induct) + case (t_Var \' y T x e' \) + then have a1: "valid (\@[(x,T')]@\)" + and a2: "(y,T) \ set (\@[(x,T')]@\)" + and a3: "\ \ e' : T'" by simp_all + from a1 have a4: "valid (\@\)" by (rule valid_insert) + { assume eq: "x=y" + from a1 a2 have "T=T'" using eq by (auto intro: context_unique) + with a3 have "\@\ \ Var y[x::=e'] : T" using eq a4 by (auto intro: weakening) + } + moreover + { assume ineq: "x\y" + from a2 have "(y,T) \ set (\@\)" using ineq by simp + then have "\@\ \ Var y[x::=e'] : T" using ineq a4 by auto + } + ultimately show "\@\ \ Var y[x::=e'] : T" by blast +qed (force simp add: fresh_list_append fresh_list_cons)+ + +corollary type_substitution: + assumes a: "(x,T')#\ \ e : T" + and b: "\ \ e' : T'" + shows "\ \ e[x::=e'] : T" +using a b type_substitution_aux[where \="[]"] +by (auto) + +lemma t_App_elim: + assumes a: "\ \ App t1 t2 : T" + shows "\T'. \ \ t1 : T' \ T \ \ \ t2 : T'" +using a +by (cases) (auto simp add: lam.inject) + +lemma t_Lam_elim: + assumes ty: "\ \ Lam [x].t : T" + and fc: "x\\" + shows "\T1 T2. T = T1 \ T2 \ (x,T1)#\ \ t : T2" +using ty fc +by (cases rule: typing.strong_cases) + (auto simp add: alpha lam.inject abs_fresh ty_fresh) + +theorem cbv_type_preservation: + assumes a: "t \cbv t'" + and b: "\ \ t : T" + shows "\ \ t' : T" +using a b +by (nominal_induct avoiding: \ T rule: cbv.strong_induct) + (auto dest!: t_Lam_elim t_App_elim simp add: type_substitution ty.inject) + +corollary cbvs_type_preservation: + assumes a: "t \cbv* t'" + and b: "\ \ t : T" + shows "\ \ t' : T" +using a b +by (induct) (auto intro: cbv_type_preservation) + +text {* + The Type-Preservation Property for the Machine and Evaluation Relation. *} + +theorem machine_type_preservation: + assumes a: " \* " + and b: "\ \ t : T" + shows "\ \ t' : T" +proof - + from a have "t \cbv* t'" by (simp add: machines_implies_cbvs) + then show "\ \ t' : T" using b by (simp add: cbvs_type_preservation) +qed + +theorem eval_type_preservation: + assumes a: "t \ t'" + and b: "\ \ t : T" + shows "\ \ t' : T" +proof - + from a have " \* " by (simp add: eval_implies_machines) + then show "\ \ t' : T" using b by (simp add: machine_type_preservation) +qed + +text {* The Progress Property *} + +lemma canonical_tArr: + assumes a: "[] \ t : T1 \ T2" + and b: "val t" + shows "\x t'. t = Lam [x].t'" +using b a by (induct) (auto) + +theorem progress: + assumes a: "[] \ t : T" + shows "(\t'. t \cbv t') \ (val t)" +using a +by (induct \\"[]::ty_ctx" t T) + (auto intro: cbv.intros dest!: canonical_tArr) + + +text {*********************************************************** + + Strong Induction Principle + -------------------------- + + A proof for the strong (structural) induction principle in the + lambda-calculus. + +*} + + +lemma lam_strong_induct: + fixes c::"'a::fs_name" + assumes h1: "\x c. P c (Var x)" + and h2: "\t1 t2 c. \\d. P d t1; \d. P d t2\ \ P c (App t1 t2)" + and h3: "\x t c. \x\c; \d. P d t\ \ P c (Lam [x].t)" + shows "P c t" +proof - + have "\(\::name prm) c. P c (\\t)" + proof (induct t rule: lam.induct) + case (Lam x t) + have ih: "\(\::name prm) c. P c (\\t)" by fact + { fix \::"name prm" and c::"'a::fs_name" + obtain y::"name" where fc: "y\(\\x,\\t,c)" + by (rule exists_fresh) (auto simp add: fs_name1) + from ih have "\c. P c (([(y,\\x)]@\)\t)" by simp + then have "\c. P c ([(y,\\x)]\(\\t))" by (auto simp only: pt_name2) + with h3 have "P c (Lam [y].[(y,\\x)]\(\\t))" using fc by (simp add: fresh_prod) + moreover + have "Lam [y].[(y,\\x)]\(\\t) = Lam [(\\x)].(\\t)" + using fc by (simp add: lam.inject alpha fresh_atm fresh_prod) + ultimately have "P c (Lam [(\\x)].(\\t))" by simp + } + then have "\(\::name prm) c. P c (Lam [(\\x)].(\\t))" by simp + then show "\(\::name prm) c. P c (\\(Lam [x].t))" by simp + qed (auto intro: h1 h2) (* var and app case *) + then have "P c (([]::name prm)\t)" by blast + then show "P c t" by simp +qed + +text {*********************************************************** + + --------- + SOLUTIONS + --------- + +*} + +text {************************************************************ + + 1.) MINI EXERCISE + + The way we defined contexts does not allow us to + apply a Hole to a Hole. Therefore the following + will result in a typing error. *} + +(* term "CAppL \ \" *) + + +text {************************************************************ + + 2. EXERCISE + + A readable proof for this lemma is as follows: + +*} + +lemma + assumes a: " \* " + and b: " \* " + shows " \* " +using a b +proof(induct) + case (ms1 e1 Es1) + show " \* " by fact +next + case (ms2 e1 Es1 e2 Es2 e2' Es2') + have ih: " \* \ \* " by fact + have " \* " by fact + then have " \* " using ih by simp + moreover + have " \ " by fact + ultimately show " \* " by auto +qed + + +text {************************************************************ + + 3.) Exercise + + As one can quickly see in the second case, the theorem as stated + does not go through. We need to generalise the induction hypothesis + so that we show the lemma for all contexts Es. In Isar, variables + can be generalised by declaring "arbitrary: variable \" when the + induction is set up. + +*} + +theorem + assumes a: "t \ t'" + shows " \* " +using a +proof (induct arbitrary: Es) (* here we generalise over Es *) + case (e_Lam x t Es) + show " \* " by auto +next + case (e_App t1 x t t2 v' v Es) + have ih1: "\Es. \* " by fact + have ih2: "\Es. \* " by fact + have ih3: "\Es. \* " by fact + have " \* t2#Es>" by auto + moreover + have " t2#Es> \* t2#Es>" using ih1 by auto + moreover + have " t2#Es> \* #Es>" by auto + moreover + have "#Es> \* #Es>" using ih2 by auto + moreover + have "t2 \ v'" by fact + then have "val v'" using eval_to_val by auto + then have "#Es> \* " by auto + moreover + have " \* " using ih3 by auto + ultimately show " \* " by blast +qed + +text {************************************************************ + + 4.) Exercise + + A proof for the weakening lemma: + +*} + +lemma + fixes \1 \2::"(name\ty) list" + assumes a: "\1 \ t : T" + and b: "valid \2" + and c: "\1 \ \2" + shows "\2 \ t : T" +using a b c +proof (nominal_induct \1 t T avoiding: \2 rule: typing.strong_induct) + case (t_Var \1 x T) (* variable case *) + have "\1 \ \2" by fact + moreover + have "valid \2" by fact + moreover + have "(x,T)\ set \1" by fact + ultimately show "\2 \ Var x : T" by auto +next + case (t_Lam x \1 T1 t T2) (* lambda case *) + have vc: "x\\2" by fact (* variable convention *) + have ih: "\valid ((x,T1)#\2); (x,T1)#\1 \ (x,T1)#\2\ \ (x,T1)#\2 \ t:T2" by fact + have "\1 \ \2" by fact + then have "(x,T1)#\1 \ (x,T1)#\2" by simp + moreover + have "valid \2" by fact + then have "valid ((x,T1)#\2)" using vc by (simp add: v2) + ultimately have "(x,T1)#\2 \ t : T2" using ih by simp + with vc show "\2 \ Lam [x].t : T1\T2" by auto +qed (auto) (* app case *) + +text {************************************************************ + + 5.) Exercise + + A proof for context omposition + +*} + +lemma + shows "(E1 \ E2)\t\ = E1\E2\t\\" +by (induct E1) (simp_all) + +text {****************************************************************** + + 6.) EXERCISE + ------------ + + A proof for the assoiativity of \. + +*} + +lemma + shows "(Es1@Es2)\ = (Es2\) \ (Es1\)" +proof (induct Es1) + case Nil + show "([]@Es2)\ = Es2\ \ []\" using neut_hole by simp +next + case (Cons E Es1) + have ih: "(Es1@Es2)\ = Es2\ \ Es1\" by fact + have "((E#Es1)@Es2)\ = (Es1@Es2)\ \ E" by simp + also have "\ = (Es2\ \ Es1\) \ E" using ih by simp + also have "\ = Es2\ \ (Es1\ \ E)" using circ_assoc by simp + also have "\ = Es2\ \ (E#Es1)\" by simp + finally show "((E#Es1)@Es2)\ = Es2\ \ (E#Es1)\" by simp +qed + +text {****************************************************************** + + 7.) EXERCISE + ------------ + + A proof for the substitution lemma. + +*} + +lemma + assumes a: "x\y" + and b: "x\L" + shows "M[x::=N][y::=L] = M[y::=L][x::=N[y::=L]]" +using a b +proof (nominal_induct M avoiding: x y N L rule: lam.strong_induct) + case (Var z) (* case 1: Variables*) + show "Var z[x::=N][y::=L] = Var z[y::=L][x::=N[y::=L]]" (is "?LHS = ?RHS") + proof - + { (*Case 1.1*) + assume "z=x" + have "(1)": "?LHS = N[y::=L]" using `z=x` by simp + have "(2)": "?RHS = N[y::=L]" using `z=x` `x\y` by simp + from "(1)" "(2)" have "?LHS = ?RHS" by simp + } + moreover + { (*Case 1.2*) + assume "z=y" and "z\x" + have "(1)": "?LHS = L" using `z\x` `z=y` by simp + have "(2)": "?RHS = L[x::=N[y::=L]]" using `z=y` by simp + have "(3)": "L[x::=N[y::=L]] = L" using `x\L` by (simp add: forget) + from "(1)" "(2)" "(3)" have "?LHS = ?RHS" by simp + } + moreover + { (*Case 1.3*) + assume "z\x" and "z\y" + have "(1)": "?LHS = Var z" using `z\x` `z\y` by simp + have "(2)": "?RHS = Var z" using `z\x` `z\y` by simp + from "(1)" "(2)" have "?LHS = ?RHS" by simp + } + ultimately show "?LHS = ?RHS" by blast + qed +next + case (Lam z M1) (* case 2: lambdas *) + have ih: "\x\y; x\L\ \ M1[x::=N][y::=L] = M1[y::=L][x::=N[y::=L]]" by fact + have fs: "z\x" "z\y" "z\N" "z\L" by fact+ + then have "z\N[y::=L]" by (simp add: fresh_fact) + show "(Lam [z].M1)[x::=N][y::=L] = (Lam [z].M1)[y::=L][x::=N[y::=L]]" (is "?LHS=?RHS") + proof - + have "?LHS = Lam [z].(M1[x::=N][y::=L])" using `z\x` `z\y` `z\N` `z\L` by simp + also from ih have "\ = Lam [z].(M1[y::=L][x::=N[y::=L]])" using `x\y` `x\L` by simp + also have "\ = (Lam [z].(M1[y::=L]))[x::=N[y::=L]]" using `z\x` `z\N[y::=L]` by simp + also have "\ = ?RHS" using `z\y` `z\L` by simp + finally show "?LHS = ?RHS" by simp + qed +next + case (App M1 M2) (* case 3: applications *) + then show "(App M1 M2)[x::=N][y::=L] = (App M1 M2)[y::=L][x::=N[y::=L]]" by simp +qed + +text {****************************************************************** + + 8.) Exercise + ------------ + + Left out if not needed. +*} + +lemma + assumes a: "t \cbv t'" + shows "E\t\ \cbv E\t'\" +using a +proof (induct E) + case Hole + have "t \cbv t'" by fact + then show "\\t\ \cbv \\t'\" by simp +next + case (CAppL E s) + have ih: "t \cbv t' \ E\t\ \cbv E\t'\" by fact + have a: "t \cbv t'" by fact + show "(CAppL E s)\t\ \cbv (CAppL E s)\t'\" using ih a by auto +next + case (CAppR s E) + have ih: "t \cbv t' \ E\t\ \cbv E\t'\" by fact + have a: "t \cbv t'" by fact + show "(CAppR s E)\t\ \cbv (CAppR s E)\t'\" using ih a by auto +qed + +text {****************************************************************** + + 9.) Exercise + ------------ + + The point of the cbv-reduction was that we can easily relatively + establish the follwoing property: + +*} + +lemma + assumes a: " \ " + shows "(Es\)\e\ \cbv* (Es'\)\e'\" +using a +proof (induct) + case (m1 t1 t2 Es) + show "Es\\App t1 t2\ \cbv* ((CAppL \ t2)#Es)\\t1\" by (auto simp add: ctx_compose) +next + case (m2 v t2 Es) + have "val v" by fact + then show "((CAppL \ t2)#Es)\\v\ \cbv* (CAppR v \ # Es)\\t2\" + by (auto simp add: ctx_compose) +next + case (m3 v x t Es) + have "val v" by fact + then show "((CAppR (Lam [x].t) \)#Es)\\v\ \cbv* (Es\)\t[x::=v]\" + by (auto simp add: ctx_compose intro: cbv_in_ctx) +qed + +lemma + assumes a: " \ " + shows "(Es\)\e\ \cbv* (Es'\)\e'\" +using a by (induct) (auto simp add: ctx_compose intro: cbv_in_ctx) + +text {****************************************************************** + + 10.) Exercise + ------------- + + Complete the first case in the proof below. + +*} + +lemma + assumes a: "t1 \cbv t2" "t2 \ t3" + shows "t1 \ t3" +using a +proof(induct arbitrary: t3) + case (cbv1 v x t t3) + have a1: "val v" by fact + have a2: "t[x::=v] \ t3" by fact + show "App Lam [x].t v \ t3" using eval_val a1 a2 by auto +next + case (cbv2 t t' t2 t3) + have "t \cbv t'" by fact + have ih: "\t3. t' \ t3 \ t \ t3" by fact + have "App t' t2 \ t3" by fact + then obtain x t'' v' + where a1: "t' \ Lam [x].t''" + and a2: "t2 \ v'" + and a3: "t''[x::=v'] \ t3" using e_App_elim by blast + have "t \ Lam [x].t''" using ih a1 by auto + then show "App t t2 \ t3" using a2 a3 by auto +qed (auto dest!: e_App_elim) + +lemma + assumes a: "t1 \cbv t2" "t2 \ t3" + shows "t1 \ t3" +using a +by (induct arbitrary: t3) + (auto elim!: eval_elim intro: eval_val) + + +end + + + + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/Lambda.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/Lambda.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,87 @@ +theory Lambda + imports "Nominal" +begin + +atom_decl name + +section {* Alpha-Equated Lambda-Terms *} + +nominal_datatype lam = + Var "name" +| App "lam" "lam" +| Lam "\name\lam" ("Lam [_]._") + +section {* Capture-Avoiding Substitution *} + +consts subst :: "lam \ name \ lam \ lam" ("_[_::=_]") + +nominal_primrec + "(Var x)[y::=s] = (if x=y then s else (Var x))" + "(App t1 t2)[y::=s] = App (t1[y::=s]) (t2[y::=s])" + "x\(y,s) \ (Lam [x].t)[y::=s] = Lam [x].(t[y::=s])" +apply(finite_guess)+ +apply(rule TrueI)+ +apply(simp add: abs_fresh)+ +apply(fresh_guess)+ +done + +lemma subst_eqvt[eqvt]: + fixes pi::"name prm" + shows "pi\(t1[x::=t2]) = (pi\t1)[(pi\x)::=(pi\t2)]" +by (nominal_induct t1 avoiding: x t2 rule: lam.strong_induct) + (auto simp add: perm_bij fresh_atm fresh_bij) + +lemma forget: + assumes a: "x\L" + shows "L[x::=P] = L" + using a +by (nominal_induct L avoiding: x P rule: lam.strong_induct) + (auto simp add: abs_fresh fresh_atm) + +lemma fresh_fact: + fixes z::"name" + shows "\z\s; (z=y \ z\t)\ \ z\t[y::=s]" +by (nominal_induct t avoiding: z y s rule: lam.strong_induct) + (auto simp add: abs_fresh fresh_prod fresh_atm) + +lemma subst_rename: + assumes a: "y\t" + shows "t[x::=s] = ([(y,x)]\t)[y::=s]" +using a +by (nominal_induct t avoiding: x y s rule: lam.strong_induct) + (auto simp add: calc_atm fresh_atm abs_fresh) + +text {* + The purpose of the two lemmas below is to work + around some quirks in Isabelle's handling of + meta_quantifiers and meta_implications. + *} + +lemma meta_impCE: + assumes major: "P ==> PROP Q" + and 1: "~ P ==> R" + and 2: "PROP Q ==> R" + shows R +proof (cases P) + assume P + then have "PROP Q" by (rule major) + then show R by (rule 2) +next + assume "~ P" + then show R by (rule 1) +qed + +declare meta_allE [elim] + and meta_impCE [elim!] + +end + + + + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/Minimal.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/Minimal.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,21 @@ +theory Minimal +imports "Nominal" +begin + +atom_decl name + +nominal_datatype lam = + Var "name" +| App "lam" "lam" +| Lam "\name\lam" ("Lam [_]._") + +lemma alpha_test: + shows "Lam [x].Var x = Lam [y].Var y" + by (simp add: lam.inject alpha swap_simps fresh_atm) + +thm lam.inject[no_vars] +thm alpha[no_vars] +thm swap_simps[no_vars] +thm fresh_atm[no_vars] + +end \ No newline at end of file diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/a0size.sty --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/a0size.sty Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,252 @@ +%% +%% This is file `a0size.sty' (v1.22b) included in the a0poster package +%% +%% Copyright (C) 1997-2004 Gerlinde Kettl and Matthias Weiser +%% +%% It may be distributed and/or modified under the +%% conditions of the LaTeX Project Public License, either version 1.2 +%% of this license 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def translate rotate /h ED 2 div /w ED dup +CLW mul /d ED /h h d w h Atan sin Div sub def /w w d h w Atan 2 +div dup cos exch sin Div mul sub def mark 0 d w neg d 0 h w d 0 +d /ArrowA { moveto } def /ArrowB { } def false Line closepath mtrx +% DG/SR modification begin - Jun. 1, 1998 - Patch 3 (from Michael Vulis) +% setmatrix } def +setmatrix pop } def +% DG/SR modification end +/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth +def } def +/CCA { /y ED /x ED 2 copy y sub /dy1 ED x sub /dx1 ED /l1 dx1 dy1 Pyth +def } def +/CC { /l0 l1 def /x1 x dx sub def /y1 y dy sub def /dx0 dx1 def /dy0 dy1 +def CCA /dx dx0 l1 c exp mul dx1 l0 c exp mul add def /dy dy0 l1 c exp +mul dy1 l0 c exp mul add def /m dx0 dy0 Atan dx1 dy1 Atan sub 2 div cos +abs b exp a mul dx dy Pyth Div 2 div def /x2 x l0 dx mul m mul sub def +/y2 y l0 dy mul m mul sub def /dx l1 dx mul m mul neg def /dy l1 dy mul +m mul neg def } def +/IC { /c c 1 add def c 0 lt { /c 0 def } { c 3 gt { /c 3 def } if } +ifelse /a a 2 mul 3 div 45 cos b exp div def CCA /dx 0 def /dy 0 def } +def +/BOC { IC CC x2 y2 x1 y1 ArrowA CP 4 2 roll x y curveto } def +/NC { CC x1 y1 x2 y2 x y curveto } def +/EOC { x dx sub y dy sub 4 2 roll ArrowB 2 copy curveto } def +/BAC { IC CC x y moveto CC x1 y1 CP ArrowA } def +/NAC { x2 y2 x y curveto CC x1 y1 } def +/EAC { x2 y2 x y ArrowB curveto pop pop } def +/OpenCurve { NArray n 3 lt { n { pop pop } repeat } { BOC /n n 3 sub def + n { NC } repeat EOC } ifelse } def +/AltCurve { { false NArray n 2 mul 2 roll [ n 2 mul 3 sub 1 roll ] aload +/Points ED n 2 mul -2 roll } { false NArray } ifelse n 4 lt { n { pop +pop } repeat } { BAC /n n 4 sub def n { NAC } repeat EAC } ifelse } def +/ClosedCurve { NArray n 3 lt { n { pop pop } repeat } { n 3 gt { +CheckClosed } if 6 copy n 2 mul 6 add 6 roll IC CC x y moveto n { NC } +repeat closepath pop pop } ifelse } def +/SQ { /r ED r r moveto r r neg L r neg r neg L r neg r L fill } def +/ST { /y ED /x ED x y moveto x neg y L 0 x L fill } def +/SP { /r ED gsave 0 r moveto 4 { 72 rotate 0 r L } repeat fill grestore } +def +/FontDot { DS 2 mul dup matrix scale matrix concatmatrix exch matrix +rotate matrix concatmatrix exch findfont exch makefont setfont } def +/Rect { x1 y1 y2 add 2 div moveto x1 y2 lineto x2 y2 lineto x2 y1 lineto +x1 y1 lineto closepath } def +/OvalFrame { x1 x2 eq y1 y2 eq or { pop pop x1 y1 moveto x2 y2 L } { y1 +y2 sub abs x1 x2 sub abs 2 copy gt { exch pop } { pop } ifelse 2 div +exch { dup 3 1 roll mul exch } if 2 copy lt { pop } { exch pop } ifelse +/b ED x1 y1 y2 add 2 div moveto x1 y2 x2 y2 b arcto x2 y2 x2 y1 b arcto +x2 y1 x1 y1 b arcto x1 y1 x1 y2 b arcto 16 { pop } repeat closepath } +ifelse } def +/Frame { CLW mul /a ED 3 -1 roll 2 copy gt { exch } if a sub /y2 ED a add +/y1 ED 2 copy gt { exch } if a sub /x2 ED a add /x1 ED 1 index 0 eq { +pop pop Rect } { OvalFrame } ifelse } def +/BezierNArray { /f ED counttomark 2 div dup cvi /n ED n eq not { exch pop +} if n 1 sub neg 3 mod 3 add 3 mod { 0 0 /n n 1 add def } repeat f { ] +aload /Points ED } { n 2 mul 1 add -1 roll pop } ifelse } def +/OpenBezier { BezierNArray n 1 eq { pop pop } { ArrowA n 4 sub 3 idiv { 6 +2 roll 4 2 roll curveto } repeat 6 2 roll 4 2 roll ArrowB curveto } +ifelse } def +/ClosedBezier { BezierNArray n 1 eq { pop pop } { moveto n 1 sub 3 idiv { +6 2 roll 4 2 roll curveto } repeat closepath } ifelse } def +/BezierShowPoints { gsave Points aload length 2 div cvi /n ED moveto n 1 +sub { lineto } repeat CLW 2 div SLW [ 4 4 ] 0 setdash stroke grestore } +def +/Parab { /y0 exch def /x0 exch def /y1 exch def /x1 exch def /dx x0 x1 +sub 3 div def /dy y0 y1 sub 3 div def x0 dx sub y0 dy add x1 y1 ArrowA +x0 dx add y0 dy add x0 2 mul x1 sub y1 ArrowB curveto /Points [ x1 y1 x0 +y0 x0 2 mul x1 sub y1 ] def } def +/Grid { newpath /a 4 string def /b ED /c ED /n ED cvi dup 1 lt { pop 1 } +if /s ED s div dup 0 eq { pop 1 } if /dy ED s div dup 0 eq { pop 1 } if +/dx ED dy div round dy mul /y0 ED dx div round dx mul /x0 ED dy div +round cvi /y2 ED dx div round cvi /x2 ED dy div round cvi /y1 ED dx div +round cvi /x1 ED /h y2 y1 sub 0 gt { 1 } { -1 } ifelse def /w x2 x1 sub +0 gt { 1 } { -1 } ifelse def b 0 gt { /z1 b 4 div CLW 2 div add def +/Helvetica findfont b scalefont setfont /b b .95 mul CLW 2 div add def } +if systemdict /setstrokeadjust known { true setstrokeadjust /t { } def } +{ /t { transform 0.25 sub round 0.25 add exch 0.25 sub round 0.25 add +exch itransform } bind def } ifelse gsave n 0 gt { 1 setlinecap [ 0 dy n +div ] dy n div 2 div setdash } { 2 setlinecap } ifelse /i x1 def /f y1 +dy mul n 0 gt { dy n div 2 div h mul sub } if def /g y2 dy mul n 0 gt { +dy n div 2 div h mul add } if def x2 x1 sub w mul 1 add dup 1000 gt { +pop 1000 } if { i dx mul dup y0 moveto b 0 gt { gsave c i a cvs dup +stringwidth pop /z2 ED w 0 gt {z1} {z1 z2 add neg} ifelse h 0 gt {b neg} +{z1} ifelse rmoveto show grestore } if dup t f moveto g t L stroke /i i +w add def } repeat grestore gsave n 0 gt +% DG/SR modification begin - Nov. 7, 1997 - Patch 1 +%{ 1 setlinecap [ 0 dx n div ] dy n div 2 div setdash } +{ 1 setlinecap [ 0 dx n div ] dx n div 2 div setdash } +% DG/SR modification end +{ 2 setlinecap } ifelse /i y1 def /f x1 dx mul +n 0 gt { dx n div 2 div w mul sub } if def /g x2 dx mul n 0 gt { dx n +div 2 div w mul add } if def y2 y1 sub h mul 1 add dup 1000 gt { pop +1000 } if { newpath i dy mul dup x0 exch moveto b 0 gt { gsave c i a cvs +dup stringwidth pop /z2 ED w 0 gt {z1 z2 add neg} {z1} ifelse h 0 gt +{z1} {b neg} ifelse rmoveto show grestore } if dup f exch t moveto g +exch t L stroke /i i h add def } repeat grestore } def +/ArcArrow { /d ED /b ED /a ED gsave newpath 0 -1000 moveto clip newpath 0 +1 0 0 b grestore c mul /e ED pop pop pop r a e d PtoC y add exch x add +exch r a PtoC y add exch x add exch b pop pop pop pop a e d CLW 8 div c +mul neg d } def +/Ellipse { /mtrx CM def T scale 0 0 1 5 3 roll arc mtrx setmatrix } def +/Rot { CP CP translate 3 -1 roll neg rotate NET } def +/RotBegin { tx@Dict /TMatrix known not { /TMatrix { } def /RAngle { 0 } +def } if /TMatrix [ TMatrix CM ] cvx def /a ED a Rot /RAngle [ RAngle +dup a add ] cvx def } def +/RotEnd { /TMatrix [ TMatrix setmatrix ] cvx def /RAngle [ RAngle pop ] +cvx def } def +/PutCoor { gsave CP T CM STV exch exec moveto setmatrix CP grestore } def +/PutBegin { /TMatrix [ TMatrix CM ] cvx def CP 4 2 roll T moveto } def +/PutEnd { CP /TMatrix [ TMatrix setmatrix ] cvx def moveto } def +/Uput { /a ED add 2 div /h ED 2 div /w ED /s a sin def /c a cos def /b s +abs c abs 2 copy gt dup /q ED { pop } { exch pop } ifelse def /w1 c b +div w mul def /h1 s b div h mul def q { w1 abs w sub dup c mul abs } { +h1 abs h sub dup s mul abs } ifelse } def +/UUput { /z ED abs /y ED /x ED q { x s div c mul abs y gt } { x c div s +mul abs y gt } ifelse { x x mul y y mul sub z z mul add sqrt z add } { q +{ x s div } { x c div } ifelse abs } ifelse a PtoC h1 add exch w1 add +exch } def +/BeginOL { dup (all) eq exch TheOL eq or { IfVisible not { Visible +/IfVisible true def } if } { IfVisible { Invisible /IfVisible false def +} if } ifelse } def +/InitOL { /OLUnit [ 3000 3000 matrix defaultmatrix dtransform ] cvx def +/Visible { CP OLUnit idtransform T moveto } def /Invisible { CP OLUnit +neg exch neg exch idtransform T moveto } def /BOL { BeginOL } def +/IfVisible true def } def +end +% END pstricks.pro + +%%EndProcSet +%%BeginProcSet: pst-dots.pro 0 0 +%!PS-Adobe-2.0 +%%Title: Dot Font for PSTricks +%%Creator: Timothy Van Zandt +%%Creation Date: May 7, 1993 +%% Version 97 patch 1, 99/12/16 +%% Modified by Etienne Riga - Dec. 16, 1999 +%% to add /Diamond, /SolidDiamond and /BoldDiamond +10 dict dup begin + /FontType 3 def + /FontMatrix [ .001 0 0 .001 0 0 ] def + /FontBBox [ 0 0 0 0 ] def + /Encoding 256 array def + 0 1 255 { Encoding exch /.notdef put } for + Encoding + dup (b) 0 get /Bullet put + dup (c) 0 get /Circle put + dup (C) 0 get /BoldCircle put + dup (u) 0 get /SolidTriangle put + dup (t) 0 get /Triangle put + dup (T) 0 get /BoldTriangle put + dup (r) 0 get /SolidSquare put + dup (s) 0 get /Square put + dup (S) 0 get /BoldSquare put + dup (q) 0 get /SolidPentagon put + dup (p) 0 get /Pentagon put + dup (P) 0 get /BoldPentagon put +% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga + dup (l) 0 get /SolidDiamond put + dup (d) 0 get /Diamond put + (D) 0 get /BoldDiamond put +% DG/SR modification end + /Metrics 13 dict def + Metrics begin + /Bullet 1000 def + /Circle 1000 def + /BoldCircle 1000 def + /SolidTriangle 1344 def + /Triangle 1344 def + /BoldTriangle 1344 def + /SolidSquare 886 def + /Square 886 def + /BoldSquare 886 def + /SolidPentagon 1093.2 def + /Pentagon 1093.2 def + /BoldPentagon 1093.2 def +% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga + /SolidDiamond 1008 def + /Diamond 1008 def + /BoldDiamond 1008 def +% DG/SR modification end + /.notdef 0 def + end + /BBoxes 13 dict def + BBoxes begin + /Circle { -550 -550 550 550 } def + /BoldCircle /Circle load def + /Bullet /Circle load def + /Triangle { -571.5 -330 571.5 660 } def + /BoldTriangle /Triangle load def + /SolidTriangle /Triangle load def + /Square { -450 -450 450 450 } def + /BoldSquare /Square load def + /SolidSquare /Square load def + /Pentagon { -546.6 -465 546.6 574.7 } def + /BoldPentagon /Pentagon load def + /SolidPentagon /Pentagon load def +% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga + /Diamond { -428.5 -742.5 428.5 742.5 } def + /BoldDiamond /Diamond load def + /SolidDiamond /Diamond load def +% DG/SR modification end + /.notdef { 0 0 0 0 } def + end + /CharProcs 20 dict def + CharProcs begin + /Adjust { + 2 copy dtransform floor .5 add exch floor .5 add exch idtransform + 3 -1 roll div 3 1 roll exch div exch scale + } def + /CirclePath { 0 0 500 0 360 arc closepath } def + /Bullet { 500 500 Adjust CirclePath fill } def + /Circle { 500 500 Adjust CirclePath .9 .9 scale CirclePath + eofill } def + /BoldCircle { 500 500 Adjust CirclePath .8 .8 scale CirclePath + eofill } def + /BoldCircle { CirclePath .8 .8 scale CirclePath eofill } def + /TrianglePath { 0 660 moveto -571.5 -330 lineto 571.5 -330 lineto + closepath } def + /SolidTriangle { TrianglePath fill } def + /Triangle { TrianglePath .85 .85 scale TrianglePath eofill } def + /BoldTriangle { TrianglePath .7 .7 scale TrianglePath eofill } def + /SquarePath { -450 450 moveto 450 450 lineto 450 -450 lineto + -450 -450 lineto closepath } def + /SolidSquare { SquarePath fill } def + /Square { SquarePath .89 .89 scale SquarePath eofill } def + /BoldSquare { SquarePath .78 .78 scale SquarePath eofill } def + /PentagonPath { + -337.8 -465 moveto + 337.8 -465 lineto + 546.6 177.6 lineto + 0 574.7 lineto + -546.6 177.6 lineto + closepath + } def + /SolidPentagon { PentagonPath fill } def + /Pentagon { PentagonPath .89 .89 scale PentagonPath eofill } def + /BoldPentagon { PentagonPath .78 .78 scale PentagonPath eofill } def +% DG/SR modification begin - Dec. 16, 1999 - From Etienne Riga + /DiamondPath { 0 742.5 moveto -428.5 0 lineto 0 -742.5 lineto + 428.5 0 lineto closepath } def + /SolidDiamond { DiamondPath fill } def + /Diamond { DiamondPath .85 .85 scale DiamondPath eofill } def + /BoldDiamond { DiamondPath .7 .7 scale DiamondPath eofill } def +% DG/SR modification end + /.notdef { } def + end + /BuildGlyph { + exch + begin + Metrics 1 index get exec 0 + BBoxes 3 index get exec + setcachedevice + CharProcs begin load exec end + end + } def + /BuildChar { + 1 index /Encoding get exch get + 1 index /BuildGlyph get exec + } bind def +end +/PSTricksDotFont exch definefont pop +%END pst-dots.pro + +%%EndProcSet +%%BeginProcSet: pst-grad.pro 0 0 +%! +% PostScript prologue for pst-grad.tex. +% Version 1.04, 2004/06/23 (adding %GradientCircle style - D.G.) +% prepared by Herbert Voss +% For copying restrictions, see pstricks.tex. +% +% For the PSTricks gradient fillstyle.% +% Based on some EPS files by leeweyr!bill@nuchat.sccsi.com (W. R. Lee).% +% Syntax:% D.G. modification begin - Apr. 9, %1998 +%%%%%% R0 G0 B0 R1 G1 B1 NumLines MidPoint Angle GradientFill +% ifGradientCircle GradientScale %GradientPosX GradientPosY +% R0 G0 B0 R1 G1 B1 NumLines MidPoint %Angle GradientFill +% D.G. modification end +% +/tx@GradientDict 40 dict def +tx@GradientDict begin +/GradientFill { + rotate + /MidPoint ED + /NumLines ED + /LastBlue ED + /LastGreen ED + /LastRed ED + /FirstBlue ED + /FirstGreen ED +/FirstRed ED +% D.G. modification begin - Apr. 9, 1998 +/GradientPosY ED +/GradientPosX ED + /GradientScale ED + /ifGradientCircle ED +% D.G. modification end + % This avoids gaps due to rounding errors: + clip + pathbbox %leave llx,lly,urx,ury on stack +% D.G. modification begin - Apr. 10, 1998 + 4 copy /ury ED /urx ED /lly ED /llx ED +% D.G. modification end + /y ED /x ED +% D.G. modification begin - Apr. 10, 1998 +ifGradientCircle + {0 GradientPosX eq + {0 GradientPosX eq {2 copy translate} if} if} + {2 copy translate} ifelse +% D.G. modification end + y sub neg /y ED + x sub neg /x ED % This avoids gaps due to rounding errors: + LastRed FirstRed add 2 div + LastGreen FirstGreen add 2 div + LastBlue FirstBlue add 2 div + setrgbcolor +% D.G. modification begin - Jul. 23, 1997 / Apr. 9, 1998 + ifGradientCircle + {/YSizePerLine y NumLines div def + /CurrentY y 2 div def + /MidLine NumLines 2 div 1 MidPoint sub mul abs cvi def} + {fill + /YSizePerLine y NumLines div def + /CurrentY 0 def + /MidLine NumLines 1 MidPoint sub mul abs cvi def} ifelse +% DG modification end + MidLine NumLines 2 sub gt + { /MidLine NumLines def } + { MidLine 2 lt { /MidLine 0 def } if } + ifelse + MidLine 0 gt + { + /Red FirstRed def + /Green FirstGreen def + /Blue FirstBlue def + /RedIncrement LastRed FirstRed sub MidLine 1 sub div def + /GreenIncrement LastGreen FirstGreen sub MidLine 1 sub div def + /BlueIncrement LastBlue FirstBlue sub MidLine 1 sub div def + MidLine { GradientLoop } repeat + } if + MidLine NumLines lt + { + /Red LastRed def + /Green LastGreen def + /Blue LastBlue def + /RedIncrement FirstRed LastRed sub NumLines MidLine sub 1 sub div def + /GreenIncrement FirstGreen LastGreen sub NumLines MidLine sub 1 sub div def + /BlueIncrement FirstBlue LastBlue sub NumLines MidLine sub 1 sub div def + NumLines MidLine sub { GradientLoop } repeat } + if + } def/GradientLoop { +% D.G. modification begin - Jul. 23, 1997 / Apr. 9, 1998 + ifGradientCircle + {CurrentY 0 gt { +% The default center used is the center of the bounding box of the object + 0 GradientPosX eq {0 GradientPosX eq + {/GradientPosX urx llx sub 2 div def + /GradientPosY ury lly sub 2 div def} if} if + GradientPosX GradientPosY CurrentY GradientScale mul 0 360 arc + Red Green Blue setrgbcolor fill + /CurrentY CurrentY YSizePerLine sub def + /Blue Blue BlueIncrement add def + /Green Green GreenIncrement add def + /Red Red RedIncrement add def} if} {0 CurrentY moveto x 0 rlineto + 0 YSizePerLine rlineto x neg 0 rlineto closepath + Red Green Blue setrgbcolor fill /CurrentY CurrentY YSizePerLine add def + /Blue Blue BlueIncrement add def /Green Green GreenIncrement add def + /Red Red RedIncrement add def} ifelse% D.G. modification end + }def + end +% END pst-grad.pro + +%%EndProcSet +%%BeginProcSet: 8r.enc 0 0 +% File 8r.enc TeX Base 1 Encoding Revision 2.0 2002-10-30 +% +% @@psencodingfile@{ +% author = "S. Rahtz, P. MacKay, Alan Jeffrey, B. Horn, K. Berry, +% W. Schmidt, P. Lehman", +% version = "2.0", +% date = "30 October 2002", +% filename = "8r.enc", +% email = "tex-fonts@@tug.org", +% docstring = "This is the encoding vector for Type1 and TrueType +% fonts to be used with TeX. This file is part of the +% PSNFSS bundle, version 9" +% @} +% +% The idea is to have all the characters normally included in Type 1 fonts +% available for typesetting. This is effectively the characters in Adobe +% Standard encoding, ISO Latin 1, Windows ANSI including the euro symbol, +% MacRoman, and some extra characters from Lucida. +% +% Character code assignments were made as follows: +% +% (1) the Windows ANSI characters are almost all in their Windows ANSI +% positions, because some Windows users cannot easily reencode the +% fonts, and it makes no difference on other systems. The only Windows +% ANSI characters not available are those that make no sense for +% typesetting -- rubout (127 decimal), nobreakspace (160), softhyphen +% (173). quotesingle and grave are moved just because it's such an +% irritation not having them in TeX positions. +% +% (2) Remaining characters are assigned arbitrarily to the lower part +% of the range, avoiding 0, 10 and 13 in case we meet dumb software. +% +% (3) Y&Y Lucida Bright includes some extra text characters; in the +% hopes that other PostScript fonts, perhaps created for public +% consumption, will include them, they are included starting at 0x12. +% These are /dotlessj /ff /ffi /ffl. +% +% (4) hyphen appears twice for compatibility with both ASCII and Windows. +% +% (5) /Euro was assigned to 128, as in Windows ANSI +% +% (6) Missing characters from MacRoman encoding incorporated as follows: +% +% PostScript MacRoman TeXBase1 +% -------------- -------------- -------------- +% /notequal 173 0x16 +% /infinity 176 0x17 +% /lessequal 178 0x18 +% /greaterequal 179 0x19 +% /partialdiff 182 0x1A +% /summation 183 0x1B +% /product 184 0x1C +% /pi 185 0x1D +% /integral 186 0x81 +% /Omega 189 0x8D +% /radical 195 0x8E +% /approxequal 197 0x8F +% /Delta 198 0x9D +% /lozenge 215 0x9E +% +/TeXBase1Encoding [ +% 0x00 + /.notdef /dotaccent /fi /fl + /fraction /hungarumlaut /Lslash /lslash + /ogonek /ring /.notdef /breve + /minus /.notdef /Zcaron /zcaron +% 0x10 + /caron /dotlessi /dotlessj /ff + /ffi /ffl /notequal /infinity + /lessequal /greaterequal /partialdiff /summation + /product /pi /grave /quotesingle +% 0x20 + /space /exclam /quotedbl /numbersign + /dollar /percent /ampersand /quoteright + /parenleft /parenright /asterisk /plus + /comma /hyphen /period /slash +% 0x30 + /zero /one /two /three + /four /five /six /seven + /eight /nine /colon /semicolon + /less /equal /greater /question +% 0x40 + /at /A /B /C + /D /E /F /G + /H /I /J /K + /L /M /N /O +% 0x50 + /P /Q /R /S + /T /U /V /W + /X /Y /Z /bracketleft 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/Adieresis /Aring /AE /Ccedilla + /Egrave /Eacute /Ecircumflex /Edieresis + /Igrave /Iacute /Icircumflex /Idieresis +% 0xD0 + /Eth /Ntilde /Ograve /Oacute + /Ocircumflex /Otilde /Odieresis /multiply + /Oslash /Ugrave /Uacute /Ucircumflex + /Udieresis /Yacute /Thorn /germandbls +% 0xE0 + /agrave /aacute /acircumflex /atilde + /adieresis /aring /ae /ccedilla + /egrave /eacute /ecircumflex /edieresis + /igrave /iacute /icircumflex /idieresis +% 0xF0 + /eth /ntilde /ograve /oacute + /ocircumflex /otilde /odieresis /divide + /oslash /ugrave /uacute /ucircumflex + /udieresis /yacute /thorn /ydieresis +] def + + +%%EndProcSet +%%BeginProcSet: texps.pro 0 0 +%! +TeXDict begin/rf{findfont dup length 1 add dict begin{1 index/FID ne 2 +index/UniqueID ne and{def}{pop pop}ifelse}forall[1 index 0 6 -1 roll +exec 0 exch 5 -1 roll VResolution Resolution div mul neg 0 0]FontType 0 +ne{/Metrics exch def dict begin Encoding{exch dup type/integertype ne{ +pop pop 1 sub dup 0 le{pop}{[}ifelse}{FontMatrix 0 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true}{false}ifelse}bdf +/ndf{1 index where{pop pop pop}{dup xcheck{bind}if def}ifelse}bdf +/d{setdash}bdf +/h{closepath}bdf +/H{}bdf +/J{setlinecap}bdf +/j{setlinejoin}bdf +/M{setmiterlimit}bdf +/n{newpath}bdf +/N{newpath}bdf +/q{gsave}bdf +/Q{grestore}bdf +/w{setlinewidth}bdf +/sepdef{ + dup where not + { +AltsysSepDict + } + if + 3 1 roll exch put +}bdf +/st{settransfer}bdf +/colorimage defed /_rci xdf +/_NXLevel2 defed { + _NXLevel2 not { +/colorimage where { +userdict eq { +/_rci false def +} if +} if + } if +} if +/md defed{ + md type /dicttype eq { +/colorimage where { +md eq { +/_rci false def +}if +}if +/settransfer where { +md eq { +/st systemdict /settransfer get def +}if +}if + }if +}if +/setstrokeadjust defed +{ + true setstrokeadjust + /C{curveto}bdf + /L{lineto}bdf + /m{moveto}bdf +} +{ + /dr{transform .25 sub round .25 add +exch .25 sub round .25 add exch itransform}bdf + /C{dr curveto}bdf + /L{dr lineto}bdf + /m{dr moveto}bdf + /setstrokeadjust{pop}bdf +}ifelse +/rectstroke defed /xt xdf +xt {/yt save def} if +/privrectpath { + 4 -2 roll m + dtransform round exch round exch idtransform + 2 copy 0 lt exch 0 lt xor + {dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto} + {exch dup 0 rlineto exch 0 exch rlineto neg 0 rlineto} + ifelse + closepath +}bdf +/rectclip{newpath privrectpath clip newpath}def +/rectfill{gsave newpath privrectpath fill grestore}def +/rectstroke{gsave newpath privrectpath stroke grestore}def +xt {yt restore} if +/_fonthacksave false def +/currentpacking defed +{ + /_bfh {/_fonthacksave currentpacking def false setpacking} bdf + /_efh {_fonthacksave setpacking} bdf +} +{ + /_bfh {} bdf + /_efh {} bdf +}ifelse +/packedarray{array astore readonly}ndf +/` +{ + false setoverprint + + + /-save0- save def + 5 index concat + pop + storerect left bottom width height rectclip + pop + + /dict_count countdictstack def + /op_count count 1 sub def + userdict begin + + /showpage {} def + + 0 setgray 0 setlinecap 1 setlinewidth + 0 setlinejoin 10 setmiterlimit [] 0 setdash newpath + +} bdf +/currentpacking defed{true setpacking}if +/min{2 copy gt{exch}if pop}bdf +/max{2 copy lt{exch}if pop}bdf +/xformfont { currentfont exch makefont setfont } bdf +/fhnumcolors 1 + statusdict begin +/processcolors defed +{ +pop processcolors +} +{ +/deviceinfo defed { +deviceinfo /Colors known { +pop deviceinfo /Colors get +} if +} if +} ifelse + end +def +/printerRes + gsave + matrix defaultmatrix setmatrix + 72 72 dtransform + abs exch abs + max + grestore + def +/graycalcs +[ + {Angle Frequency} + {GrayAngle GrayFrequency} + {0 Width Height matrix defaultmatrix idtransform +dup mul exch dup mul add sqrt 72 exch div} + {0 GrayWidth GrayHeight matrix defaultmatrix idtransform +dup mul exch dup mul add sqrt 72 exch div} +] def +/calcgraysteps { + forcemaxsteps + { +maxsteps + } + { +/currenthalftone defed +{currenthalftone /dicttype eq}{false}ifelse +{ +currenthalftone begin +HalftoneType 4 le +{graycalcs HalftoneType 1 sub get exec} +{ +HalftoneType 5 eq +{ +Default begin +{graycalcs HalftoneType 1 sub get exec} +end +} +{0 60} +ifelse +} +ifelse +end +} +{ +currentscreen pop exch +} +ifelse + +printerRes 300 max exch div exch +2 copy +sin mul round dup mul +3 1 roll +cos mul round dup mul +add 1 add +dup maxsteps gt {pop maxsteps} if + } + ifelse +} bdf +/nextrelease defed { + /languagelevel defed not { +/framebuffer defed { +0 40 string framebuffer 9 1 roll 8 {pop} repeat +dup 516 eq exch 520 eq or +{ +/fhnumcolors 3 def +/currentscreen {60 0 {pop pop 1}}bdf +/calcgraysteps {maxsteps} bdf +}if +}if + }if +}if +fhnumcolors 1 ne { + /calcgraysteps {maxsteps} bdf +} if +/currentpagedevice defed { + + + currentpagedevice /PreRenderingEnhance known + { +currentpagedevice /PreRenderingEnhance get +{ +/calcgraysteps +{ +forcemaxsteps +{maxsteps} +{256 maxsteps min} +ifelse +} def +} if + } if +} if +/gradfrequency 144 def +printerRes 1000 lt { + /gradfrequency 72 def +} if +/adjnumsteps { + + dup dtransform abs exch abs max + + printerRes div + + gradfrequency mul + round + 5 max + min +}bdf +/goodsep { + spots exch get 4 get dup sepname eq exch (_vc_Registration) eq or +}bdf +/BeginGradation defed +{/bb{BeginGradation}bdf} +{/bb{}bdf} +ifelse +/EndGradation defed +{/eb{EndGradation}bdf} +{/eb{}bdf} +ifelse +/bottom -0 def +/delta -0 def +/frac -0 def +/height -0 def +/left -0 def +/numsteps1 -0 def +/radius -0 def +/right -0 def +/top -0 def +/width -0 def +/xt -0 def +/yt -0 def +/df currentflat def +/tempstr 1 string def +/clipflatness currentflat def +/inverted? + 0 currenttransfer exec .5 ge def +/tc1 [0 0 0 1] def +/tc2 [0 0 0 1] def +/storerect{/top xdf /right xdf /bottom xdf /left xdf +/width right left sub def /height top bottom sub def}bdf +/concatprocs{ + systemdict /packedarray known + {dup type /packedarraytype eq 2 index type /packedarraytype eq or}{false}ifelse + { +/proc2 exch cvlit def /proc1 exch cvlit def +proc1 aload pop proc2 aload pop +proc1 length proc2 length add packedarray cvx + } + { +/proc2 exch cvlit def /proc1 exch cvlit def +/newproc proc1 length proc2 length add array def +newproc 0 proc1 putinterval newproc proc1 length proc2 putinterval +newproc cvx + }ifelse +}bdf +/i{dup 0 eq + {pop df dup} + {dup} ifelse + /clipflatness xdf setflat +}bdf +version cvr 38.0 le +{/setrgbcolor{ +currenttransfer exec 3 1 roll +currenttransfer exec 3 1 roll +currenttransfer exec 3 1 roll +setrgbcolor}bdf}if +/vms {/vmsv save def} bdf +/vmr {vmsv restore} bdf +/vmrs{vmsv restore /vmsv save def}bdf +/eomode{ + {/filler /eofill load def /clipper /eoclip load def} + {/filler /fill load def /clipper /clip load def} + ifelse +}bdf +/normtaper{}bdf +/logtaper{9 mul 1 add log}bdf +/CD{ + /NF exch def + { +exch dup +/FID ne 1 index/UniqueID ne and +{exch NF 3 1 roll put} +{pop pop} +ifelse + }forall + NF +}bdf +/MN{ + 1 index length + /Len exch def + dup length Len add + string dup + Len + 4 -1 roll + putinterval + dup + 0 + 4 -1 roll + putinterval +}bdf +/RC{4 -1 roll /ourvec xdf 256 string cvs(|______)anchorsearch + {1 index MN cvn/NewN exch def cvn + findfont dup maxlength dict CD dup/FontName NewN put dup + /Encoding ourvec put NewN exch definefont pop}{pop}ifelse}bdf +/RF{ + dup + FontDirectory exch + known + {pop 3 -1 roll pop} + {RC} + ifelse +}bdf +/FF{dup 256 string cvs(|______)exch MN cvn dup FontDirectory exch known + {exch pop findfont 3 -1 roll pop} + {pop dup findfont dup maxlength dict CD dup dup + /Encoding exch /Encoding get 256 array copy 7 -1 roll + {3 -1 roll dup 4 -2 roll put}forall put definefont} + ifelse}bdf +/RFJ{ + dup + FontDirectory exch + known + {pop 3 -1 roll pop + FontDirectory /Ryumin-Light-83pv-RKSJ-H known + {pop pop /Ryumin-Light-83pv-RKSJ-H dup}if + } + {RC} + ifelse +}bdf +/FFJ{dup 256 string cvs(|______)exch MN cvn dup FontDirectory exch known + {exch pop findfont 3 -1 roll pop} + {pop +dup FontDirectory exch known not + {FontDirectory /Ryumin-Light-83pv-RKSJ-H known +{pop /Ryumin-Light-83pv-RKSJ-H}if + }if + dup findfont dup maxlength dict CD dup dup + /Encoding exch /Encoding get 256 array copy 7 -1 roll + {3 -1 roll dup 4 -2 roll put}forall put definefont} + ifelse}bdf +/fps{ + currentflat + exch + dup 0 le{pop 1}if + { +dup setflat 3 index stopped +{1.3 mul dup 3 index gt{pop setflat pop pop stop}if} +{exit} +ifelse + }loop + pop setflat pop pop +}bdf +/fp{100 currentflat fps}bdf +/clipper{clip}bdf +/W{/clipper load 100 clipflatness dup setflat fps}bdf +userdict begin /BDFontDict 29 dict def end +BDFontDict begin +/bu{}def +/bn{}def +/setTxMode{av 70 ge{pop}if pop}def +/gm{m}def +/show{pop}def +/gr{pop}def +/fnt{pop pop pop}def +/fs{pop}def +/fz{pop}def +/lin{pop pop}def +/:M {pop pop} def +/sf {pop} def +/S {pop} def +/@b {pop pop pop pop pop pop pop pop} def +/_bdsave /save load def +/_bdrestore /restore load def +/save { dup /fontsave eq {null} {_bdsave} ifelse } def +/restore { dup null eq { pop } { _bdrestore } ifelse } def +/fontsave null def +end +/MacVec 256 array def +MacVec 0 /Helvetica findfont +/Encoding get 0 128 getinterval putinterval +MacVec 127 /DEL put MacVec 16#27 /quotesingle put MacVec 16#60 /grave put +/NUL/SOH/STX/ETX/EOT/ENQ/ACK/BEL/BS/HT/LF/VT/FF/CR/SO/SI +/DLE/DC1/DC2/DC3/DC4/NAK/SYN/ETB/CAN/EM/SUB/ESC/FS/GS/RS/US +MacVec 0 32 getinterval astore pop +/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis/Udieresis/aacute +/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute/egrave +/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde/oacute +/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex/udieresis +/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls +/registered/copyright/trademark/acute/dieresis/notequal/AE/Oslash +/infinity/plusminus/lessequal/greaterequal/yen/mu/partialdiff/summation +/product/pi/integral/ordfeminine/ordmasculine/Omega/ae/oslash +/questiondown/exclamdown/logicalnot/radical/florin/approxequal/Delta/guillemotleft +/guillemotright/ellipsis/nbspace/Agrave/Atilde/Otilde/OE/oe +/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide/lozenge +/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright/fi/fl +/daggerdbl/periodcentered/quotesinglbase/quotedblbase +/perthousand/Acircumflex/Ecircumflex/Aacute +/Edieresis/Egrave/Iacute/Icircumflex/Idieresis/Igrave/Oacute/Ocircumflex +/apple/Ograve/Uacute/Ucircumflex/Ugrave/dotlessi/circumflex/tilde +/macron/breve/dotaccent/ring/cedilla/hungarumlaut/ogonek/caron +MacVec 128 128 getinterval astore pop +end %. AltsysDict +%%EndResource +%%EndProlog +%%BeginSetup +AltsysDict begin +_bfh +%%IncludeResource: font Symbol +_efh +0 dict dup begin +end +/f0 /Symbol FF def +_bfh +%%IncludeResource: font ZapfHumanist601BT-Bold +_efh +0 dict dup begin +end +/f1 /ZapfHumanist601BT-Bold FF def +end %. AltsysDict +%%EndSetup +AltsysDict begin +/onlyk4{false}ndf +/ccmyk{dup 5 -1 roll sub 0 max exch}ndf +/cmyk2gray{ + 4 -1 roll 0.3 mul 4 -1 roll 0.59 mul 4 -1 roll 0.11 mul + add add add 1 min neg 1 add +}bdf +/setcmykcolor{1 exch sub ccmyk ccmyk ccmyk pop setrgbcolor}ndf +/maxcolor { + max max max +} ndf +/maxspot { + pop +} ndf +/setcmykcoloroverprint{4{dup -1 eq{pop 0}if 4 1 roll}repeat setcmykcolor}ndf +/findcmykcustomcolor{5 packedarray}ndf +/setcustomcolor{exch aload pop pop 4{4 index mul 4 1 roll}repeat setcmykcolor pop}ndf +/setseparationgray{setgray}ndf +/setoverprint{pop}ndf +/currentoverprint false ndf +/cmykbufs2gray{ + 0 1 2 index length 1 sub + { +4 index 1 index get 0.3 mul +4 index 2 index get 0.59 mul +4 index 3 index get 0.11 mul +4 index 4 index get +add add add cvi 255 min +255 exch sub +2 index 3 1 roll put + }for + 4 1 roll pop pop pop +}bdf +/colorimage{ + pop pop + [ +5 -1 roll/exec cvx +6 -1 roll/exec cvx +7 -1 roll/exec cvx +8 -1 roll/exec cvx +/cmykbufs2gray cvx + ]cvx + image +} +%. version 47.1 on Linotronic of Postscript defines colorimage incorrectly (rgb model only) +version cvr 47.1 le +statusdict /product get (Lino) anchorsearch{pop pop true}{pop false}ifelse +and{userdict begin bdf end}{ndf}ifelse +fhnumcolors 1 ne {/yt save def} if +/customcolorimage{ + aload pop + (_vc_Registration) eq + { +pop pop pop pop separationimage + } + { +/ik xdf /iy xdf /im xdf /ic xdf +ic im iy ik cmyk2gray /xt xdf +currenttransfer +{dup 1.0 exch sub xt mul add}concatprocs +st +image + } + ifelse +}ndf +fhnumcolors 1 ne {yt restore} if +fhnumcolors 3 ne {/yt save def} if +/customcolorimage{ + aload pop + (_vc_Registration) eq + { +pop pop pop pop separationimage + } + { +/ik xdf /iy xdf /im xdf /ic xdf +1.0 dup ic ik add min sub +1.0 dup im ik add min sub +1.0 dup iy ik add min sub +/ic xdf /iy xdf /im xdf +currentcolortransfer +4 1 roll +{dup 1.0 exch sub ic mul add}concatprocs 4 1 roll +{dup 1.0 exch sub iy mul add}concatprocs 4 1 roll +{dup 1.0 exch sub im mul add}concatprocs 4 1 roll +setcolortransfer +{/dummy xdf dummy}concatprocs{dummy}{dummy}true 3 colorimage + } + ifelse +}ndf +fhnumcolors 3 ne {yt restore} if +fhnumcolors 4 ne {/yt save def} if +/customcolorimage{ + aload pop + (_vc_Registration) eq + { +pop pop pop pop separationimage + } + { +/ik xdf /iy xdf /im xdf /ic xdf +currentcolortransfer +{1.0 exch sub ik mul ik sub 1 add}concatprocs 4 1 roll +{1.0 exch sub iy mul iy sub 1 add}concatprocs 4 1 roll +{1.0 exch sub im mul im sub 1 add}concatprocs 4 1 roll +{1.0 exch sub ic mul ic sub 1 add}concatprocs 4 1 roll +setcolortransfer +{/dummy xdf dummy}concatprocs{dummy}{dummy}{dummy} +true 4 colorimage + } + ifelse +}ndf +fhnumcolors 4 ne {yt restore} if +/separationimage{image}ndf +/newcmykcustomcolor{6 packedarray}ndf +/inkoverprint false ndf +/setinkoverprint{pop}ndf +/setspotcolor { + spots exch get + dup 4 get (_vc_Registration) eq + {pop 1 exch sub setseparationgray} + {0 5 getinterval exch setcustomcolor} + ifelse +}ndf +/currentcolortransfer{currenttransfer dup dup dup}ndf +/setcolortransfer{st pop pop pop}ndf +/fas{}ndf +/sas{}ndf +/fhsetspreadsize{pop}ndf +/filler{fill}bdf +/F{gsave {filler}fp grestore}bdf +/f{closepath F}bdf +/S{gsave {stroke}fp grestore}bdf +/s{closepath S}bdf +/bc4 [0 0 0 0] def +/_lfp4 { + /iosv inkoverprint def + /cosv currentoverprint def + /yt xdf + /xt xdf + /ang xdf + storerect + /taperfcn xdf + /k2 xdf /y2 xdf /m2 xdf /c2 xdf + /k1 xdf /y1 xdf /m1 xdf /c1 xdf + c1 c2 sub abs + m1 m2 sub abs + y1 y2 sub abs + k1 k2 sub abs + maxcolor + calcgraysteps mul abs round + height abs adjnumsteps + dup 2 lt {pop 1} if + 1 sub /numsteps1 xdf + currentflat mark + currentflat clipflatness + /delta top bottom sub numsteps1 1 add div def + /right right left sub def + /botsv top delta sub def + { +{ +W +xt yt translate +ang rotate +xt neg yt neg translate +dup setflat +/bottom botsv def +0 1 numsteps1 +{ +numsteps1 dup 0 eq {pop 0.5 } { div } ifelse +taperfcn /frac xdf +bc4 0 c2 c1 sub frac mul c1 add put +bc4 1 m2 m1 sub frac mul m1 add put +bc4 2 y2 y1 sub frac mul y1 add put +bc4 3 k2 k1 sub frac mul k1 add put +bc4 vc +1 index setflat +{ +mark {newpath left bottom right delta rectfill}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +/bottom bottom delta sub def +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/bcs [0 0] def +/_lfs4 { + /iosv inkoverprint def + /cosv currentoverprint def + /yt xdf + /xt xdf + /ang xdf + storerect + /taperfcn xdf + /tint2 xdf + /tint1 xdf + bcs exch 1 exch put + tint1 tint2 sub abs + bcs 1 get maxspot + calcgraysteps mul abs round + height abs adjnumsteps + dup 2 lt {pop 2} if + 1 sub /numsteps1 xdf + currentflat mark + currentflat clipflatness + /delta top bottom sub numsteps1 1 add div def + /right right left sub def + /botsv top delta sub def + { +{ +W +xt yt translate +ang rotate +xt neg yt neg translate +dup setflat +/bottom botsv def +0 1 numsteps1 +{ +numsteps1 div taperfcn /frac xdf +bcs 0 +1.0 tint2 tint1 sub frac mul tint1 add sub +put bcs vc +1 index setflat +{ +mark {newpath left bottom right delta rectfill}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +/bottom bottom delta sub def +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/_rfs4 { + /iosv inkoverprint def + /cosv currentoverprint def + /tint2 xdf + /tint1 xdf + bcs exch 1 exch put + /radius xdf + /yt xdf + /xt xdf + tint1 tint2 sub abs + bcs 1 get maxspot + calcgraysteps mul abs round + radius abs adjnumsteps + dup 2 lt {pop 2} if + 1 sub /numsteps1 xdf + radius numsteps1 div 2 div /halfstep xdf + currentflat mark + currentflat clipflatness + { +{ +dup setflat +W +0 1 numsteps1 +{ +dup /radindex xdf +numsteps1 div /frac xdf +bcs 0 +tint2 tint1 sub frac mul tint1 add +put bcs vc +1 index setflat +{ +newpath mark xt yt radius 1 frac sub mul halfstep add 0 360 +{ arc +radindex numsteps1 ne +{ +xt yt +radindex 1 add numsteps1 +div 1 exch sub +radius mul halfstep add +dup xt add yt moveto +360 0 arcn +} if +fill +}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/_rfp4 { + /iosv inkoverprint def + /cosv currentoverprint def + /k2 xdf /y2 xdf /m2 xdf /c2 xdf + /k1 xdf /y1 xdf /m1 xdf /c1 xdf + /radius xdf + /yt xdf + /xt xdf + c1 c2 sub abs + m1 m2 sub abs + y1 y2 sub abs + k1 k2 sub abs + maxcolor + calcgraysteps mul abs round + radius abs adjnumsteps + dup 2 lt {pop 1} if + 1 sub /numsteps1 xdf + radius numsteps1 dup 0 eq {pop} {div} ifelse + 2 div /halfstep xdf + currentflat mark + currentflat clipflatness + { +{ +dup setflat +W +0 1 numsteps1 +{ +dup /radindex xdf +numsteps1 dup 0 eq {pop 0.5 } { div } ifelse +/frac xdf +bc4 0 c2 c1 sub frac mul c1 add put +bc4 1 m2 m1 sub frac mul m1 add put +bc4 2 y2 y1 sub frac mul y1 add put +bc4 3 k2 k1 sub frac mul k1 add put +bc4 vc +1 index setflat +{ +newpath mark xt yt radius 1 frac sub mul halfstep add 0 360 +{ arc +radindex numsteps1 ne +{ +xt yt +radindex 1 add +numsteps1 dup 0 eq {pop} {div} ifelse +1 exch sub +radius mul halfstep add +dup xt add yt moveto +360 0 arcn +} if +fill +}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/lfp4{_lfp4}ndf +/lfs4{_lfs4}ndf +/rfs4{_rfs4}ndf +/rfp4{_rfp4}ndf +/cvc [0 0 0 1] def +/vc{ + AltsysDict /cvc 2 index put + aload length 4 eq + {setcmykcolor} + {setspotcolor} + ifelse +}bdf +/origmtx matrix currentmatrix def +/ImMatrix matrix currentmatrix def +0 setseparationgray +/imgr {1692 1570.1102 2287.2756 2412 } def +/bleed 0 def +/clpr {1692 1570.1102 2287.2756 2412 } def +/xs 1 def +/ys 1 def +/botx 0 def +/overlap 0 def +/wdist 18 def +0 2 mul fhsetspreadsize +0 0 ne {/df 0 def /clipflatness 0 def} if +/maxsteps 256 def +/forcemaxsteps false def +vms +-1845 -1956 translate +/currentpacking defed{false setpacking}if +/spots[ +1 0 0 0 (Process Cyan) false newcmykcustomcolor +0 1 0 0 (Process Magenta) false newcmykcustomcolor +0 0 1 0 (Process Yellow) false newcmykcustomcolor +0 0 0 1 (Process Black) false newcmykcustomcolor +]def +/textopf false def +/curtextmtx{}def +/otw .25 def +/msf{dup/curtextmtx xdf makefont setfont}bdf +/makesetfont/msf load def +/curtextheight{.707104 .707104 curtextmtx dtransform + dup mul exch dup mul add sqrt}bdf +/ta2{ +tempstr 2 index gsave exec grestore +cwidth cheight rmoveto +4 index eq{5 index 5 index rmoveto}if +2 index 2 index rmoveto +}bdf +/ta{exch systemdict/cshow known +{{/cheight xdf/cwidth xdf tempstr 0 2 index put ta2}exch cshow} +{{tempstr 0 2 index put tempstr stringwidth/cheight xdf/cwidth xdf ta2}forall} +ifelse 6{pop}repeat}bdf +/sts{/textopf currentoverprint def vc setoverprint +/ts{awidthshow}def exec textopf setoverprint}bdf +/stol{/xt currentlinewidth def + setlinewidth vc newpath + /ts{{false charpath stroke}ta}def exec + xt setlinewidth}bdf + +/strk{/textopf currentoverprint def vc setoverprint + /ts{{false charpath stroke}ta}def exec + textopf setoverprint + }bdf +n +[] 0 d +3.863708 M +1 w +0 j +0 J +false setoverprint +0 i +false eomode +[0 0 0 1] vc +vms +%white border -- disabled +%1845.2293 2127.8588 m +%2045.9437 2127.8588 L +%2045.9437 1956.1412 L +%1845.2293 1956.1412 L +%1845.2293 2127.8588 L +%0.1417 w +%2 J +%2 M +%[0 0 0 0] vc +%s +n +1950.8 2097.2 m +1958.8 2092.5 1967.3 2089 1975.5 2084.9 C +1976.7 2083.5 1976.1 2081.5 1976.7 2079.9 C +1979.6 2081.1 1981.6 2086.8 1985.3 2084 C +1993.4 2079.3 2001.8 2075.8 2010 2071.7 C +2010.5 2071.5 2010.5 2071.1 2010.8 2070.8 C +2011.2 2064.3 2010.9 2057.5 2011 2050.8 C +2015.8 2046.9 2022.2 2046.2 2026.6 2041.7 C +2026.5 2032.5 2026.8 2022.9 2026.4 2014.1 C +2020.4 2008.3 2015 2002.4 2008.8 1997.1 C +2003.8 1996.8 2000.7 2001.2 1996.1 2002.1 C +1995.2 1996.4 1996.9 1990.5 1995.6 1984.8 C +1989.9 1979 1984.5 1973.9 1978.8 1967.8 C +1977.7 1968.6 1976 1967.6 1974.5 1968.3 C +1967.4 1972.5 1960.1 1976.1 1952.7 1979.3 C +1946.8 1976.3 1943.4 1970.7 1938.5 1966.1 C +1933.9 1966.5 1929.4 1968.8 1925.1 1970.7 C +1917.2 1978.2 1906 1977.9 1897.2 1983.4 C +1893.2 1985.6 1889.4 1988.6 1885 1990.1 C +1884.6 1990.6 1883.9 1991 1883.8 1991.6 C +1883.7 2000.4 1884 2009.9 1883.6 2018.9 C +1887.7 2024 1893.2 2028.8 1898 2033.8 C +1899.1 2035.5 1900.9 2036.8 1902.5 2037.9 C +1903.9 2037.3 1905.2 2036.6 1906.4 2035.5 C +1906.3 2039.7 1906.5 2044.6 1906.1 2048.9 C +1906.3 2049.6 1906.7 2050.2 1907.1 2050.8 C +1913.4 2056 1918.5 2062.7 1924.8 2068.1 C +1926.6 2067.9 1928 2066.9 1929.4 2066 C +1930.2 2071 1927.7 2077.1 1930.6 2081.6 C +1936.6 2086.9 1941.5 2092.9 1947.9 2097.9 C +1949 2098.1 1949.9 2097.5 1950.8 2097.2 C +[0 0 0 0.18] vc +f +0.4 w +S +n +1975.2 2084.7 m +1976.6 2083.4 1975.7 2081.1 1976 2079.4 C +1979.3 2079.5 1980.9 2086.2 1984.8 2084 C +1992.9 2078.9 2001.7 2075.6 2010 2071.2 C +2011 2064.6 2010.2 2057.3 2010.8 2050.6 C +2015.4 2046.9 2021.1 2045.9 2025.9 2042.4 C +2026.5 2033.2 2026.8 2022.9 2025.6 2013.9 C +2020.5 2008.1 2014.5 2003.1 2009.3 1997.6 C +2004.1 1996.7 2000.7 2001.6 1995.9 2002.6 C +1995.2 1996.7 1996.3 1990.2 1994.9 1984.6 C +1989.8 1978.7 1983.6 1973.7 1978.4 1968 C +1977.3 1969.3 1976 1967.6 1974.8 1968.5 C +1967.7 1972.7 1960.4 1976.3 1952.9 1979.6 C +1946.5 1976.9 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1973.3 C +1928 1973.8 1927 1974.3 1926 1974.8 C +[0.65 0.65 0 0.42] vc +f +0.4 w +2 J +2 M +S +n +1929.4 1973.1 m +1931.9 1972 1931.9 1972 1929.4 1973.1 C +f +S +n +1932.8 1971.4 m +1935.3 1970 1935.3 1970 1932.8 1971.4 C +f +S +n +1949.6 2097.2 m +1951.1 2096.4 1952.6 2095.5 1954.1 2094.8 C +1952.6 2095.5 1951.1 2096.4 1949.6 2097.2 C +[0.07 0.06 0 0.58] vc +f +S +n +1955.1 2094.3 m +1956.7 2093.5 1958.3 2092.7 1959.9 2091.9 C +1958.3 2092.7 1956.7 2093.5 1955.1 2094.3 C +f +S +n +1960.4 2091.6 m +1961.3 2091.2 1962.1 2090.9 1963 2090.4 C +1962.1 2090.9 1961.3 2091.2 1960.4 2091.6 C +f +S +n +1963.5 2090.2 m +1964.4 2089.7 1965.2 2089.2 1966.1 2088.8 C +1965.2 2089.2 1964.4 2089.7 1963.5 2090.2 C +f +S +n +1966.6 2088.5 m +1969.5 2087.1 1972.4 2085.8 1975.2 2084.4 C +1972.4 2085.8 1969.5 2087.1 1966.6 2088.5 C +f +S +n +1965.2 2086.1 m +1965.9 2085.7 1966.8 2085.3 1967.6 2084.9 C +1966.8 2085.3 1965.9 2085.7 1965.2 2086.1 C +f +S +n +1968.3 2084.7 m +1969.2 2084.3 1970 2083.9 1970.9 2083.5 C +1970 2083.9 1969.2 2084.3 1968.3 2084.7 C +f +S +n +vmrs +1984.1 2084 m +1985.6 2083.2 1987.2 2082.3 1988.7 2081.6 C +1987.2 2082.3 1985.6 2083.2 1984.1 2084 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1976 2078.7 m +1978.1 2080.1 1980 2082 1982 2083.7 C +1980 2081.9 1977.9 2080.3 1976 2078.2 C +1975.5 2079.9 1975.8 2081.9 1975.7 2083.7 C +1975.8 2082 1975.5 2080.2 1976 2078.7 C +f +S +n +1989.6 2081.1 m +1991.3 2080.3 1992.8 2079.5 1994.4 2078.7 C +1992.8 2079.5 1991.3 2080.3 1989.6 2081.1 C +f +S +n +1933.2 2074.6 m +1932.4 2076.2 1932.8 2077.5 1933 2078.7 C +1933 2077.6 1932.9 2074.8 1933.2 2074.6 C +f +S +n +1994.9 2078.4 m +1995.8 2078 1996.7 2077.7 1997.6 2077.2 C +1996.7 2077.7 1995.8 2078 1994.9 2078.4 C +f +S +n +1998 2077 m +1998.9 2076.5 1999.8 2076 2000.7 2075.6 C +1999.8 2076 1998.9 2076.5 1998 2077 C +f +S +n +2001.2 2075.3 m +2004 2073.9 2006.9 2072.6 2009.8 2071.2 C +2006.9 2072.6 2004 2073.9 2001.2 2075.3 C +f +S +n +1980.5 2060.7 m +1979.9 2060.7 1976.7 2062.8 1975.7 2064.5 C +1975.7 2067.5 1975.7 2070.5 1975.7 2073.4 C +1976.3 2068.7 1973.9 2061.6 1980.5 2060.7 C +f +S +n +1999.7 2072.9 m +2000.5 2072.5 2001.3 2072.1 2002.1 2071.7 C +2001.3 2072.1 2000.5 2072.5 1999.7 2072.9 C +f +S +n +2002.8 2071.5 m +2003.7 2071.1 2004.6 2070.7 2005.5 2070.3 C +2004.6 2070.7 2003.7 2071.1 2002.8 2071.5 C +f +S +n +vmrs +2015.1 2047.5 m +2014.4 2047.5 2011.2 2049.6 2010.3 2051.3 C +2010.3 2057.7 2010.3 2064.1 2010.3 2070.5 C +2010.3 2063.9 2010.1 2057.1 2010.5 2050.6 C +2012 2049.3 2013.5 2048.3 2015.1 2047.5 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1910.4 2049.2 m +1914.8 2054.3 1920.7 2058.9 1925.1 2064 C +1920.4 2058.6 1915.1 2054.6 1910.4 2049.2 C +f +S +n +1988.2 2057.3 m +1989.1 2056.8 1989.9 2056.2 1990.8 2055.6 C +1989.9 2056.2 1989.1 2056.8 1988.2 2057.3 C +f +S +n +1991.6 2051.3 m +1991.6 2046.3 1991.6 2041.2 1991.6 2036.2 C +1991.6 2041.2 1991.6 2046.3 1991.6 2051.3 C +f +S +n +1935.6 2047.5 m +1932.9 2051.7 1939.7 2043.8 1935.6 2047.5 C +f +S +n +1938.8 2043.9 m +1938.1 2043.3 1938.2 2043.7 1937.3 2043.4 C +1938.7 2043 1938.2 2044.9 1939 2045.3 C +1938.2 2045.3 1938.7 2046.6 1937.8 2046.5 C +1939.1 2046.2 1939.1 2044.5 1938.8 2043.9 C +f +S +n +1972.4 2045.6 m +1973.4 2045 1974.5 2044.4 1975.5 2043.9 C +1974.5 2044.4 1973.4 2045 1972.4 2045.6 C +f +S +n +1969 2043.6 m +1969.8 2043.2 1970.6 2042.9 1971.4 2042.4 C +1970.6 2042.9 1969.8 2043.2 1969 2043.6 C +f +S +n +1972.1 2042.2 m +1973 2041.8 1973.9 2041.4 1974.8 2041 C +1973.9 2041.4 1973 2041.8 1972.1 2042.2 C +f +S +n +1906.6 2035 m +1905 2034.7 1904.8 2036.6 1903.5 2036.9 C +1904.9 2037 1905.8 2033.4 1907.1 2035.7 C +1907.1 2037.2 1907.1 2038.6 1907.1 2040 C +1906.9 2038.4 1907.5 2036.4 1906.6 2035 C +f +S +n +vmrs +1937.1 2032.1 m +1936.2 2033.7 1936.6 2035 1936.8 2036.2 C +1936.8 2035.1 1936.8 2032.4 1937.1 2032.1 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1887.6 2018.7 m +1892 2023.8 1897.9 2028.4 1902.3 2033.6 C +1897.6 2028.1 1892.3 2024.1 1887.6 2018.7 C +f +S +n +1999.7 2031.4 m +1998.7 2030.3 1997.6 2029.2 1996.6 2028 C +1997.6 2029.2 1998.7 2030.3 1999.7 2031.4 C +f +S +n +1912.8 2017 m +1910.6 2021.1 1913.6 2015.3 1914.5 2016 C +1914 2016.3 1913.4 2016.7 1912.8 2017 C +f +S +n +1939.5 2005 m +1936.7 2009.2 1943.6 2001.3 1939.5 2005 C +f +S +n +1942.6 2001.4 m +1941.9 2000.8 1942 2001.2 1941.2 2000.9 C +1942.5 2000.6 1942.1 2002.4 1942.8 2002.8 C +1942 2002.8 1942.5 2004.1 1941.6 2004 C +1943 2003.7 1942.9 2002.1 1942.6 2001.4 C +f +S +n +2006.2 2000.7 m +2005.4 2001.5 2004 2002.8 2004 2002.8 C +2004.5 2002.4 2005.5 2001.4 2006.2 2000.7 C +f +S +n +1998.5 2001.6 m +1997.7 2002 1996.8 2002.4 1995.9 2002.6 C +1995.5 1999.3 1995.7 1995.7 1995.6 1992.3 C +1995.6 1995.7 1995.6 1999.2 1995.6 2002.6 C +1996.6 2002.4 1997.7 2002.2 1998.5 2001.6 C +[0.4 0.4 0 0] vc +f +S +n +1996.1 2002.8 m +1995.9 2002.8 1995.8 2002.8 1995.6 2002.8 C +1995.2 1999.5 1995.5 1995.9 1995.4 1992.5 C +1995.4 1995.9 1995.4 1999.4 1995.4 2002.8 C +1996.4 2003.1 1998.2 2001.6 1996.1 2002.8 C +[0.07 0.06 0 0.58] vc +f +S +n +1969 2002.1 m +1968 2001 1966.9 1999.9 1965.9 1998.8 C +1966.9 1999.9 1968 2001 1969 2002.1 C +f +S +n +vmrs +2000 2001.2 m +2002.1 2000 2004.1 1998.9 2006.2 1997.8 C +2004.1 1998.9 2002.1 2000 2000 2001.2 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1895.8 1984.8 m +1898.3 1983.6 1900.8 1982.3 1903.2 1981 C +1900.8 1982.3 1898.3 1983.6 1895.8 1984.8 C +f +S +n +1905.2 1980.3 m +1906.4 1979.9 1907.6 1979.5 1908.8 1979.1 C +1907.6 1979.5 1906.4 1979.9 1905.2 1980.3 C +f +S +n +1964.7 1977.4 m +1963.8 1977.5 1962.5 1980.2 1960.8 1980 C +1962.5 1980.2 1963.3 1978 1964.7 1977.4 C +f +S +n +1952 1979.6 m +1955.2 1979.2 1955.2 1979.2 1952 1979.6 C +f +S +n +1937.8 1966.4 m +1941.2 1969.5 1946.1 1976.4 1951.5 1979.3 C +1946.1 1976.7 1942.8 1970.4 1937.8 1966.4 C +f +S +n +1911.9 1978.6 m +1914.3 1977.4 1916.7 1976.2 1919.1 1975 C +1916.7 1976.2 1914.3 1977.4 1911.9 1978.6 C +f +S +n +1975.5 1971.4 m +1974.6 1972.2 1973.3 1973.6 1973.3 1973.6 C +1973.7 1973.1 1974.8 1972.1 1975.5 1971.4 C +f +S +n +1922.4 1972.8 m +1924.9 1971.6 1927.4 1970.3 1929.9 1969 C +1927.4 1970.3 1924.9 1971.6 1922.4 1972.8 C +f +S +n +1969.2 1971.9 m +1971.1 1970.9 1972.9 1969.8 1974.8 1968.8 C +1972.9 1969.8 1971.1 1970.9 1969.2 1971.9 C +f +S +n +vmrs +1931.8 1968.3 m +1933 1967.9 1934.2 1967.5 1935.4 1967.1 C +1934.2 1967.5 1933 1967.9 1931.8 1968.3 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1940.7 2072.4 m +1941.5 2072.4 1942.3 2072.3 1943.1 2072.2 C +1942.3 2072.3 1941.5 2072.4 1940.7 2072.4 C +[0 0 0 0.18] vc +f +S +n +1948.6 2069.3 m +1947 2069.5 1945.7 2068.9 1944.8 2069.8 C +1945.9 2068.5 1948.4 2070.2 1948.6 2069.3 C +f +S +n +1954.6 2066.4 m +1954.7 2067.9 1955.6 2067.3 1955.6 2068.8 C +1955.4 2067.8 1956 2066.6 1954.6 2066.4 C +f +S +n +1929.2 2061.2 m +1927.8 2062.1 1926.3 2064.1 1924.8 2063.3 C +1926.3 2064.6 1928 2062 1929.2 2061.2 C +f +S +n +1924.4 2067.4 m +1918.5 2061.6 1912.7 2055.9 1906.8 2050.1 C +1912.7 2055.9 1918.5 2061.6 1924.4 2067.4 C +[0.4 0.4 0 0] vc +f +S +n +1924.6 2062.8 m +1923.9 2062.1 1923.2 2061.2 1922.4 2060.4 C +1923.2 2061.2 1923.9 2062.1 1924.6 2062.8 C +[0 0 0 0.18] vc +f +S +n +1919.3 2057.3 m +1917.5 2055.6 1915.7 2053.8 1913.8 2052 C +1915.7 2053.8 1917.5 2055.6 1919.3 2057.3 C +f +S +n +1929.2 2055.2 m +1929.2 2054.2 1929.2 2053.2 1929.2 2052.3 C +1929.2 2053.2 1929.2 2054.2 1929.2 2055.2 C +f +S +n +1926.3 2049.6 m +1925.4 2049 1925.4 2050.5 1924.4 2050.4 C +1925.3 2051.3 1924.5 2051.9 1925.6 2052.5 C +1926.9 2052.6 1926 2050.6 1926.3 2049.6 C +f +S +n +vmrs +1911.2 2046.8 m +1910.1 2048.9 1911.9 2050.1 1913.1 2051.3 C +1912.1 2049.9 1910.6 2048.8 1911.2 2046.8 C +[0 0 0 0.18] vc +f +0.4 w +2 J +2 M +S +n +1934 2048.7 m +1932.6 2048.7 1930.1 2047.7 1929.6 2049.4 C +1930.9 2048.6 1933.3 2049 1934 2048.7 C +f +S +n +1980 2048.4 m +1979.5 2046.8 1976.3 2047.9 1977.2 2045.6 C +1976.8 2045.1 1976.1 2044.7 1975.2 2044.8 C +1973.7 2046 1976.3 2046.4 1976.7 2047.5 C +1977.8 2047.2 1978.2 2050 1979.6 2049.2 C +1980 2049 1979.6 2048.6 1980 2048.4 C +f +S +n +1938.3 2045.6 m +1938.2 2044.4 1936.8 2043.8 1935.9 2043.4 C +1936.4 2044.4 1939.1 2044.3 1937.6 2045.8 C +1937 2046.1 1935.9 2046.1 1935.9 2046.8 C +1936.7 2046.3 1937.8 2046.2 1938.3 2045.6 C +f +S +n +1932.5 2040 m +1932.8 2038.1 1932 2038.9 1932.3 2040.3 C +1933.1 2040.3 1932.7 2041.7 1933.7 2041.5 C +1933.1 2041 1932.9 2040.5 1932.5 2040 C +f +S +n +2014.6 2035.2 m +2014.1 2033.6 2010.9 2034.7 2011.7 2032.4 C +2011.3 2031.9 2009.4 2030.7 2009.3 2032.1 C +2009.5 2033.7 2012.9 2033.8 2012.4 2035.7 C +2013 2036.4 2014.2 2036.5 2014.6 2035.2 C +f +S +n +1906.4 2030.7 m +1905 2031.6 1903.5 2033.6 1902 2032.8 C +1903.4 2034 1905.6 2031.4 1906.4 2030.7 C +f +S +n +1901.8 2037.2 m +1899.5 2034.8 1897.2 2032.5 1894.8 2030.2 C +1897.2 2032.5 1899.5 2034.8 1901.8 2037.2 C +[0.4 0.4 0 0] vc +f +S +n +1901.8 2032.4 m +1901.1 2031.6 1900.4 2030.7 1899.6 2030 C +1900.4 2030.7 1901.1 2031.6 1901.8 2032.4 C +[0 0 0 0.18] vc +f +S +n +1944.5 2030 m +1945.3 2029.9 1946.1 2029.8 1946.9 2029.7 C +1946.1 2029.8 1945.3 2029.9 1944.5 2030 C +f +S +n +vmrs +1997.8 2027.8 m +1997.7 2027.9 1997.6 2028.1 1997.3 2028 C +1997.4 2029.1 1998.5 2029.5 1999.2 2030 C +2000.1 2029.5 1998.9 2028 1997.8 2027.8 C +[0 0 0 0.18] vc +f +0.4 w +2 J +2 M +S +n +1906.4 2029.2 m +1906.4 2026.6 1906.4 2024 1906.4 2021.3 C +1906.4 2024 1906.4 2026.6 1906.4 2029.2 C +f +S +n +2006.2 2025.9 m +2006 2025.9 2005.8 2025.8 2005.7 2025.6 C +2005.7 2025.5 2005.7 2025.3 2005.7 2025.2 C +2004.6 2025.8 2002.7 2024.7 2001.9 2026.1 C +2001.9 2027.9 2007.8 2029.2 2006.2 2025.9 C +[0 0 0 0] vc +f +S +n +1952.4 2026.8 m +1950.9 2027 1949.6 2026.4 1948.6 2027.3 C +1949.7 2026.1 1952.2 2027.7 1952.4 2026.8 C +[0 0 0 0.18] vc +f +S +n +1896.5 2026.8 m +1894.7 2025.1 1892.9 2023.3 1891 2021.6 C +1892.9 2023.3 1894.7 2025.1 1896.5 2026.8 C +f +S +n +1958.4 2024 m +1958.5 2025.5 1959.4 2024.8 1959.4 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setlinecap stroke grestore end + +@endspecial +0.5 TeXcolorgray 335 w Fc(8)p 0 TeXcolorgray 0.5 TeXcolorgray +158 w Fb(\025)p 0 TeXcolorgray 0.5 TeXcolorgray 2469 +5375 a Fa(#)p 0 TeXcolorgray 0.5 TeXcolorgray 3127 5475 +a Fc(`)p 0 TeXcolorgray 0 TeXcolorgray 0 TeXcolorgray +eop end +%%Trailer + +userdict /end-hook known{end-hook}if +%%EOF diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/announcement.tex --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/announcement.tex Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,115 @@ +\documentclass[12pt]{article} +\usepackage{amsmath} +\usepackage{amssymb} +\usepackage[latin1]{inputenc} +\usepackage{times} +\usepackage{color} +\usepackage{a0size} +\usepackage{graphicx} +\usepackage{xcolor} + +\addtolength{\textheight}{2cm} +\renewcommand{\huge}{\fontsize{51.6}{64}\selectfont} +\renewcommand{\Huge}{\fontsize{61.92}{77}\selectfont} +\newcommand{\veryHuge}{\fontsize{74.3}{93}\selectfont} +\newcommand{\VeryHuge}{\fontsize{89.16}{112}\selectfont} +\newcommand{\VERYHuge}{\fontsize{107}{134}\selectfont} + +\pagestyle{empty} +\begin{document} +\color{black} +\mbox{}\\[-15mm] + +\begin{center} +\begin{tabular}{@{}c@{}} + {\bf\LARGE Hands-On Introduction to Nominal Isabelle}\medskip\\ + {\bf\Large One-Day Tutorial at POPL}\bigskip\\ + \includegraphics[scale=0.4]{logo.png}\bigskip\\ + {\bf \large Date: 23rd January 2011} +\end{tabular} +\end{center} + +\noindent +{\bf Overview:} +Dealing with binders, renaming of bound variables, capture-avoid\-ing +substitution, etc., is very often a major problem in formal proofs about the +lambda-calculus and programming language theory. Nominal Isabelle provides an +infrastructure for reasoning conveniently about bound variables and +alpha-equivalence classes in the proof assistant Isabelle. The aim of the +tutorial is to give participants a reading knowledge of nominal +techniques and allow them to start using Nominal Isabelle in their +own work. The tutorial will be hands-on and therefore participants are +encouraged to bring their own laptop. +\bigskip + +\noindent +{\bf Programme:} +\begin{center} +\begin{tabular}{rp{10cm}} +Session I: & + basics, alpha-equivalence, + substitution lemma,\\ + & Isar proof-language\\ + +Session II: & + strong induction principles, contexts with holes,\\ + & beta-reduction\\ + +Session III: & + variable convention, evaluation relations, CK-machines\\ + +Session IV: & + functions, type-preservation, progress lemma\\ +\end{tabular} +\end{center}\bigskip + +\noindent +{\bf Target audience:} Researchers and doctoral students who want to use +Nominal Isabelle to formalise proofs from the lambda-calculus, from programming +language theory or from proof theory, such as type soundness, Church Rosser, +strong normalisation and so on. The tutorial is designed for people who +have not necessarily used Isabelle before, nor have used any other proof +assistant.\bigskip + +\noindent +{\bf More Information:} See\hspace{2mm} {\tt http://isabelle.in.tum.de/nominal/} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% +\begin{center} +{\huge\boldmath\textcolor{gray}{$\forall$}} +{\veryHuge\textcolor{gray}{$\lambda$}} +\raisebox{-1mm}{\includegraphics[scale=0.5]{popl1.png}} +\raisebox{4mm}{\Huge\boldmath\textcolor{gray}{$\#$}} +{\huge\boldmath\textcolor{gray}{$\vdash$}} +\end{center} + +\newpage +\mbox{} +\end{document} + + +%%% Local Variables: +%%% mode: latex +%%% TeX-master: t +%%% TeX-command-default: "PdfLaTeX" +%%% TeX-view-style: (("." "kpdf %s.pdf")) +%%% End: + + + + + + + + + + + + + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/australia.gif Binary file Nominal/activities/australia.gif has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/australia.png Binary file Nominal/activities/australia.png has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/australia.ps --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/australia.ps Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,11546 @@ +%!PS-Adobe-2.0 EPSF-2.0 +%%Title: /home/cu200/Theorem-Provers/Isabelle/Nominal-Docs/WebSite/activities/nominal-ijcar08/australia.ps +%%Creator: XV version 3.10a-jumboFix+Enh of 20050501 - by John Bradley +%%BoundingBox: 100 232 513 559 +%%Pages: 1 +%%DocumentFonts: +%%EndComments +%%EndProlog + +%%Page: 1 1 + +% remember original state +/origstate save def + +% build a temporary dictionary +20 dict begin + +% define string to hold a scanline's worth of data +/pix 1239 string def + +% define space for color conversions +/grays 413 string def % space for gray scale line +/npixls 0 def +/rgbindx 0 def + +% lower left corner +100 232 translate + +% size of image (on paper, in 1/72inch coords) +412.99200 327.02400 scale + +% define 'colorimage' if it isn't defined +% ('colortogray' and 'mergeprocs' come from xwd2ps +% via xgrab) +/colorimage where % do we know about 'colorimage'? + { pop } % yes: pop off the 'dict' returned + { % no: define one + /colortogray { % define an RGB->I function + /rgbdata exch store % call input 'rgbdata' + rgbdata length 3 idiv + /npixls exch store + /rgbindx 0 store + 0 1 npixls 1 sub { + grays exch + rgbdata rgbindx get 20 mul % Red + rgbdata rgbindx 1 add get 32 mul % Green + rgbdata rgbindx 2 add get 12 mul % Blue + add add 64 idiv % I = .5G + .31R + .18B + put + /rgbindx rgbindx 3 add store + } for + grays 0 npixls getinterval + } bind def + + % Utility procedure for colorimage operator. + % This procedure takes two procedures off the + % stack and merges them into a single procedure. + + /mergeprocs { % def + dup length + 3 -1 roll + dup + length + dup + 5 1 roll + 3 -1 roll + add + array cvx + dup + 3 -1 roll + 0 exch + putinterval + dup + 4 2 roll + putinterval + } bind def + + /colorimage { % def + pop pop % remove 'false 3' operands + {colortogray} mergeprocs + image + } bind def + } ifelse % end of 'false' case + + + +413 327 8 % dimensions of data +[413 0 0 -327 0 327] % mapping matrix +{currentfile pix readhexstring pop} +false 3 colorimage + +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff 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+ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffff + +showpage + +% stop using temporary dictionary +end + +% restore original state +origstate restore + +%%Trailer diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/cas09/Example.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/cas09/Example.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,47 @@ +theory Example +imports Main +begin + +text {* + A small example theory proving a few facts + about list append and list reverse. +*} + +datatype 'a list2 = + nil2 ("[]") + | cons2 "'a" "'a list2" ("_ ## _") + +abbreviation + singleton :: "'a \ 'a list2" ("[_]") +where + "[x] \ x##[]" + +fun + append2 :: "'a list2 \ 'a list2 \ 'a list2" ("_ @@ _") +where + append2_nil2: "[] @@ ys = ys" +| append2_cons2: "(x##xs) @@ ys = x##(xs @@ ys)" + +fun + rev2 :: "'a list2 \ 'a list2" +where + "rev2 [] = []" +| "rev2 (x##xs) = (rev2 xs) @@ (x##[])" + +lemma append2_nil2R[simp]: + shows "xs @@ [] = xs" +by (induct xs) (auto) + +lemma append2_assoc[simp]: + shows "(xs @@ ys) @@ zs = xs @@ (ys @@ zs)" +by (induct xs) (auto) + +lemma rev2_append2[simp]: + shows "rev2 (xs @@ ys) = (rev2 ys) @@ (rev2 xs)" +by (induct xs) (auto) + +lemma rev2_rev2: + shows "rev2 (rev2 xs) = xs" +by (induct xs) (auto) + +end \ No newline at end of file diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/cas09/Lec1.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/cas09/Lec1.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,791 @@ +(***************************************************************** + + Isabelle Tutorial + ----------------- + + 27th May 2009, Beijing + + This file contains most of the material that will be covered in the + tutorial. The file can be "stepped through"; though it contains much + commented code (purple text). + +*) + +(***************************************************************** + + Proof General + ------------- + + Proof General is the front end for Isabelle. + + Proof General "paints" blue the part of the proof-script that has already + been processed by Isabelle. You can advance or retract the "frontier" of + this processed part using the "Next" and "Undo" buttons in the + menubar. "Goto" will process everything up to the current cursor position, + or retract if the cursor is inside the blue part. The key-combination + control-c control-return is a short-cut for the "Goto"-operation. + + Proof General gives feedback inside the "Response" and "Goals" buffers. + The response buffer will contain warning messages (in yellow) and + error messages (in red). Warning messages can generally be ignored. Error + messages must be dealt with in order to advance the proof script. The goal + buffer shows which goals need to be proved. The sole idea of interactive + theorem proving is to get the message "No subgoals." ;o) + +*) + +(***************************************************************** + + X-Symbols + --------- + + X-symbols provide a nice way to input non-ascii characters. For example: + + \, \, \, \, \, \, \, \, \, \, \ + + They need to be input via the combination \ + where name-of-x-symbol coincides with the usual latex name of + that symbol. + + However, there are some handy short-cuts for frequently used X-symbols. + For example + + [| \ \ + |] \ \ + ==> \ \ + => \ \ + --> \ \ + /\ \ \ + \/ \ \ + |-> \ \ + =_ \ \ + +*) + +(***************************************************************** + + Theories + -------- + + Every Isabelle proof-script needs to have a name and must import + some pre-existing theory. This will normally be the theory Main. + +*) + +theory Lec1 + imports "Main" +begin + +text {***************************************************************** + + Types + ----- + + Isabelle is based on types including some polymorphism. It also includes + some overloading, which means that sometimes explicit type annotations + need to be given. + + - Base types include: nat, bool, string + + - Type formers include: 'a list, ('a\'b), 'c set + + - Type variables are written like in ML with an apostrophe: 'a, 'b, \ + + Types known to Isabelle can be queried using: + +*} + +typ nat +typ bool +typ string (* the type for alpha-equated lambda-terms *) +typ "('a \ 'b)" (* pair type *) +typ "'c set" (* set type *) +typ "'a list" (* list type *) +typ "nat \ bool" (* the type of functions from nat to bool *) + +(* These give errors: *) +(*typ boolean *) +(*typ set*) + +text {***************************************************************** + + Terms + ----- + + Every term in Isabelle needs to be well-typed (however they can have + polymorphic type). Whether a term is accepted can be queried using: + +*} + +term c (* a variable of polymorphic type *) +term "1::nat" (* the constant 1 in natural numbers *) +term 1 (* the constant 1 with polymorphic type *) +term "{1, 2, 3::nat}" (* the set containing natural numbers 1, 2 and 3 *) +term "[1, 2, 3]" (* the list containing the polymorphic numbers 1, 2 and 3 *) +term "(True, ''c'')" (* a pair consisting of true and the string "c" *) +term "Suc 0" (* successor of 0, in other words 1 *) + +text {* + Isabelle provides some useful colour feedback about what are constants (in black), + free variables (in blue) and bound variables (in green). *} + +term "True" (* a constant that is defined in HOL *) +term "true" (* not recognised as a constant, therefore it is interpreted as a variable *) +term "\x. P x" (* x is bound, P is free *) + +text {* Every formula in Isabelle needs to have type bool *} + +term "True" +term "True \ False" +term "True \ B" +term "{1,2,3} = {3,2,1}" +term "\x. P x" +term "A \ B" + +text {* + When working with Isabelle, one is confronted with an object logic (that is HOL) + and Isabelle's meta-logic (called Pure). Sometimes one has to pay attention + to this fact. *} + +term "A \ B" (* versus *) +term "A \ B" + +term "\x. P x" (* versus *) +term "\x. P x" + +term "A \ B \ C" (* is synonymous with *) +term "\A; B\ \ C" + +text {***************************************************************** + + Inductive Definitions: The even predicate + ----------------------------------------- + + Inductive definitions start with the keyword "inductive" and a predicate name. + One also needs to provide a type for the predicate. Clauses of the inductive + predicate are introduced by "where" and more than two clauses need to be + separated by "|". Optionally one can give a name to each clause and indicate + that it should be added to the hints database ("[intro]"). A typical clause + has some premises and a conclusion. This is written in Isabelle as: + + "premise \ conclusion" + "\premise1; premise2; \ \ \ conclusion" + + If no premise is present, then one just writes + + "conclusion" + + Below we define the even predicate for natural numbers. + +*} + +inductive + even :: "nat \ bool" +where + eZ[intro]: "even 0" +| eSS[intro]: "even n \ even (Suc (Suc n))" + +text {***************************************************************** + + Theorems + -------- + + A central concept in Isabelle is that of theorems. Isabelle's theorem + database can be queried using + +*} + +thm eZ +thm eSS +thm conjI +thm conjunct1 + +text {* + Notice that theorems usually contain schematic variables (e.g. ?P, ?Q, \). + These schematic variables can be substituted with any term (of the right type + of course). It is sometimes useful to suppress the "?" from the schematic + variables. This can be achieved by using the attribute "[no_vars]". *} + +thm eZ[no_vars] +thm eSS[no_vars] +thm conjI[no_vars] +thm conjunct1[no_vars] + + +text {* + When defining the predicate eval, Isabelle provides us automatically with + the following theorems that state how the even predicate can be introduced + and what constitutes an induction over the predicate even. *} + +thm even.intros[no_vars] +thm even.induct[no_vars] + +text {***************************************************************** + + Lemma / Theorem / Corollary Statements + -------------------------------------- + + Whether to use lemma, theorem or corollary makes no semantic difference + in Isabelle. A lemma starts with "lemma" and consists of a statement + ("shows \") and optionally a lemma name, some type-information for + variables ("fixes \") and some assumptions ("assumes \"). Lemmas + also need to have a proof, but ignore this 'detail' for the moment. + +*} + +lemma even_double: + shows "even (2 * n)" +by (induct n) (auto) + +lemma even_add_n_m: + assumes a: "even n" + and b: "even m" + shows "even (n + m)" +using a b by (induct) (auto) + +lemma neutral_element: + fixes x::"nat" + shows "x + 0 = x" +by simp + +text {***************************************************************** + + Isar Proofs + ----------- + + Isar is a language for writing down proofs that can be understood by humans + and by Isabelle. An Isar proof can be thought of as a sequence of 'stepping stones' + that start with the assumptions and lead to the goal to be established. Every such + stepping stone is introduced by "have" followed by the statement of the stepping + stone. An exception is the goal to be proved, which need to be introduced with "show". + + Since proofs usually do not proceed in a linear fashion, a label can be given + to each stepping stone and then used later to refer to this stepping stone + ("using"). + + Each stepping stone (or have-statement) needs to have a justification. The + simplest justification is "sorry" which admits any stepping stone, even false + ones (this is good during the development of proofs). Assumption can be + "justified" using "by fact". Derived facts can be justified using + + - by simp (* simplification *) + - by auto (* proof search and simplification *) + - by blast (* only proof search *) + + If facts or lemmas are needed in order to justify a have-statement, then + one can feed these facts into the proof by using "using label \" or + "using theorem-name \". More than one label at the time is allowed. + + Induction proofs in Isar are set up by indicating over which predicate(s) + the induction proceeds ("using a b") followed by the command "proof (induct)". + In this way, Isabelle uses default settings for which induction should + be performed. These default settings can be overridden by giving more + information, like the variable over which a structural induction should + proceed, or a specific induction principle such as well-founded inductions. + + After the induction is set up, the proof proceeds by cases. In Isar these + cases can be given in any order, but must be started with "case" and the + name of the case, and optionally some legible names for the variables + referred to inside the case. + + The possible case-names can be found by looking inside the menu "Isabelle -> + Show me -> cases". In each "case", we need to establish a statement introduced + by "show". Once this has been done, the next case can be started using "next". + When all cases are completed, the proof can be finished using "qed". + + This means a typical induction proof has the following pattern + + proof (induct) + case \ + \ + show \ + next + case \ + \ + show \ + \ + qed + + The four lemmas are by induction on the predicate machines. All proofs establish + the same property, namely a transitivity rule for machines. The complete Isar + proofs are given for the first three proofs. The point of these three proofs is + that each proof increases the readability for humans. + +*} + +text {***************************************************************** + + 1.) EXERCISE + ------------ + + Remove the sorries in the proof below and fill in the correct + justifications. +*} + +lemma + shows "even (2 * n)" +proof (induct n) + case 0 + show "even (2 * 0)" sorry +next + case (Suc n) + have ih: "even (2 * n)" by fact + have eq: "2 * (Suc n) = Suc (Suc (2 * n))" sorry + have h1: "even (Suc (Suc (2 * n)))" sorry + show "even (2 * (Suc n))" sorry +qed + + +text {***************************************************************** + + 2.) EXERCISE + ------------ + + Remove the sorries in the proof below and fill in the correct + justifications. +*} + +lemma + shows "even (n + n)" +proof (induct n) + case 0 + show "even (0 + 0)" sorry +next + case (Suc n) + have ih: "even (n + n)" by fact + have eq: "(Suc n) + (Suc n) = Suc (Suc (n + n))" sorry + have a: "even (Suc (Suc (n + n)))" sorry + show "even ((Suc n) + (Suc n))" sorry +qed + +text {* + Just like gotos in the Basic programming language, labels can reduce + the readability of proofs. Therefore one can use in Isar the notation + "then have" in order to feed a have-statement to the proof of + the next have-statement. In the proof below this has been used + in order to get rid of the labels a. +*} + +lemma even_twice: + shows "even (n + n)" +proof (induct n) + case 0 + show "even (0 + 0)" by auto +next + case (Suc n) + have ih: "even (n + n)" by fact + have eq: "(Suc n) + (Suc n) = Suc (Suc (n + n))" by simp + have "even (Suc (Suc (n + n)))" using ih by auto + then show "even ((Suc n) + (Suc n))" using eq by simp +qed + +text {* + The label eq cannot be got rid of in this way, because both + facts are needed to prove the show-statement. We can still avoid the + labels by feeding a sequence of facts into a proof using the chaining + mechanism: + + have "statement1" \ + moreover + have "statement2" \ + \ + moreover + have "statementn" \ + ultimately have "statement" \ + + In this chain, all "statementi" can be used in the proof of the final + "statement". With this we can simplify our proof further to: +*} + +lemma + shows "even (n + n)" +proof (induct n) + case 0 + show "even (0 + 0)" by auto +next + case (Suc n) + have ih: "even (n + n)" by fact + have "(Suc n) + (Suc n) = Suc (Suc (n + n))" by simp + moreover + have "even (Suc (Suc (n + n)))" using ih by auto + ultimately show "even ((Suc n) + (Suc n))" by simp +qed + +text {* + While automatic proof procedures in Isabelle are not able to prove statements + like "P = NP" assuming usual definitions for P and NP, they can automatically + discharge the lemmas we just proved. For this we only have to set up the induction + and auto will take care of the rest. This means we can write: +*} + +lemma + shows "even (2 * n)" +by (induct n) (auto) + +lemma + shows "even (n + n)" +by (induct n) (auto) + +text {***************************************************************** + + Rule Inductions + --------------- + + Inductive predicates are defined in terms of rules of the form + + prem1 \ premn + -------------- + concl + + In Isabelle we write such rules as + + \prem1; \; premn\ \ concl + + You can do induction over such rules according to the following + scheme: + + 1.) Assume the property for the premises. Assume the side-conditions. + 2.) Show the property for the conclusion. + + In Isabelle the corresponding theorem is called, for example +*} + +thm even.induct + +text {***************************************************************** + + 3.) EXERCISE + ------------ + + Remove the sorries in the proof below and fill in the correct + justifications. +*} + +lemma even_add: + assumes a: "even n" + and b: "even m" + shows "even (n + m)" +using a b +proof (induct) + case eZ + have as: "even m" by fact + show "even (0 + m)" sorry +next + case (eSS n) + have ih: "even m \ even (n + m)" by fact + have as: "even m" by fact + + show "even (Suc (Suc n) + m)" sorry +qed + +text {* + + Whenever a lemma is of the form + + lemma + assumes "pred" + and \ + shows "something" + + then a rule induction is generally appropriate (but + not always). + + In case of even_add it is definitely *not* appropriate. + Compare for example what you have to prove when you attempt + an induction over natural numbers. + +*} + +lemma even_add_does_not_work: + assumes a: "even n" + and b: "even m" + shows "even (n + m)" +using a b +proof (induct n rule: nat_induct) + case 0 + have "even m" by fact + then show "even (0 + m)" by simp +next + case (Suc n) + have ih: "\even n; even m\ \ even (n + m)" by fact + have as1: "even (Suc n)" by fact + have as2: "even m" by fact + + show "even ((Suc n) + m)" oops + +text {***************************************************************** + + 4.) EXERCISE (Last fact about even) + ----------------------------------- + + Remove the sorries in the proof below and fill in the correct + justifications. The following two lemmas should be useful +*} + +thm even_twice[no_vars] +thm even_add[no_vars] + +text {* + Remember you can include lemmas in the "using" statement, + just like other facts. For example: + + have "something" using even_twice by simp + +*} + +lemma even_mul: + assumes a: "even n" + shows "even (n * m)" +using a +proof (induct) + case eZ + show "even (0 * m)" by auto +next + case (eSS n) + have as: "even n" by fact + have ih: "even (n * m)" by fact + + show "even (Suc (Suc n) * m)" sorry +qed + +text {***************************************************************** + + Definitions + ----------- + + Often it is useful to define new concepts in terms of existsing + concepts. In Isabelle you introduce definitions with the key- + word "definition". For example + +*} + +definition + divide :: "nat \ nat \ bool" ("_ DVD _" [100,100] 100) +where + "m DVD n = (\k. n = m * k)" + +text {* + + The annotation ("_ DVD _" [100,100] 100) introduces some fancier + syntax. In this case we define this predicate as infix. The underscores + correspond to the to arguments. The numbers stand for precedences. + + Once this definition is stated, it can be accessed as a normal + theorem. For example +*} + +thm divide_def + +text {* + Below we prove the really last fact about even. Note + how we deal with existential quantified formulas, where + we have to use + + obtain \ where \ + + in order to obtain a witness with which we can reason further. +*} + +lemma even_divide: + assumes a: "even n" + shows "2 DVD n" +using a +proof (induct) + case eZ + have "0 = 2 * (0::nat)" by simp + then show "2 DVD 0" by (auto simp add: divide_def) +next + case (eSS n) + have "2 DVD n" by fact + then have "\k. n = 2 * k" by (simp add: divide_def) + then obtain k where eq: "n = 2 * k" by (auto) + have "Suc (Suc n) = 2 * (Suc k)" using eq by simp + then have "\k. Suc (Suc n) = 2 * k" by blast + then show "2 DVD (Suc (Suc n))" by (simp add: divide_def) +qed + +text {***************************************************************** + + Function Definitions + -------------------- + + Many functions over datatypes can be defined by recursion on the + structure. For this purpose, Isabelle provides "fun". To use it one needs + to give a name for the function, its type, optionally some pretty-syntax + and then some equations defining the function. Like in "inductive", + "fun" expects that more than one such equation is separated by "|". + + Below we define function iteration using function composition + defined as "o". +*} + +fun + iter :: "('a \ 'a) \ nat \ ('a \ 'a)" ("_ !! _") +where + "f !! 0 = (\x. x)" +| "f !! (Suc n) = (f !! n) o f" + +text {* + 5.) EXERCISE + + Prove the following property by induction over n. + +*} + +lemma + shows "f !! (m + n) = (f !! m) o (f !! n)" +sorry + +text {* + A textbook proof of this lemma usually goes: + + Case 0: Trivial + + Case (Suc n): We have to prove that + + "f !! (m + (Suc n)) = f !! m o (f !! (Suc n))" + + holds. The induction hypothesis is + + "f !! (m + n) = (f !! m) o (f !! n)" + + The proof is as follows + + "f !! (m + (Suc n)) = f !! (Suc (m + n))" + = f !! (m + n) o f + = (f !! m) o (f !! n) o f (by ih) + = (f !! m) o ((f !! n) o f) (by o_assoc) + = (f !! m) o (f !! (Suc n)) + Done. + +*} + +lemma + shows "f !! (m + n) = (f !! m) o (f !! n)" +proof (induct n) + case 0 + show "f !! (m + 0) = (f !! m) o (f !! 0)" sorry +next + case (Suc n) + have ih: "f !! (m + n) = (f !! m) o (f !! n)" by fact + + show "f !! (m + (Suc n)) = f !! m o (f !! (Suc n))" sorry +qed + + +text {* + The following proof involves several steps of equational reasoning. + Isar provides some convenient means to express such equational + reasoning in a much cleaner fashion using the "also have" + construction. *} + +lemma + shows "f !! (m + n) = (f !! m) o (f !! n)" +proof (induct n) + case 0 + show "f !! (m + 0) = (f !! m) o (f !! 0)" by (simp add: comp_def) +next + case (Suc n) + have ih: "f !! (m + n) = (f !! m) o (f !! n)" by fact + have eq1: "f !! (m + (Suc n)) = f !! (Suc (m + n))" by simp + have eq2: "f !! (Suc (m + n)) = f !! (m + n) o f" by simp + have eq3: "f !! (m + n) o f = (f !! m) o (f !! n) o f" using ih by simp + have eq4: "(f !! m) o (f !! n) o f = (f !! m) o ((f !! n) o f)" by (simp add: o_assoc) + have eq5: "(f !! m) o ((f !! n) o f) = (f !! m) o (f !! (Suc n))" by simp + show "f !! (m + (Suc n)) = f !! m o (f !! (Suc n))" + using eq1 eq2 eq3 eq4 eq5 by (simp only:) +qed + +text {* + The equations can be stringed together with "also have" and "\", + as shown below. *} + +lemma + shows "f !! (m + n) = (f !! m) o (f !! n)" +proof (induct n) + case 0 + show "f !! (m + 0) = (f !! m) o (f !! 0)" by (simp add: comp_def) +next + case (Suc n) + have ih: "f !! (m + n) = (f !! m) o (f !! n)" by fact + have "f !! (m + (Suc n)) = f !! (Suc (m + n))" by simp + also have "\ = f !! (m + n) o f" by simp + also have "\ = (f !! m) o (f !! n) o f" using ih by simp + also have "\ = (f !! m) o ((f !! n) o f)" by (simp add: o_assoc) + also have "\ = (f !! m) o (f !! (Suc n))" by simp + finally show "f !! (m + (Suc n)) = f !! m o (f !! (Suc n))" by simp +qed + +text {* + This type of equational reasoning also extends to relations. + For this consider the following power function and the auxiliary + fact about less-equal and multiplication. *} + +fun + pow :: "nat \ nat \ nat" ("_ \ _") +where + "m \ 0 = 1" +| "m \ (Suc n) = m * (m \ n)" + +lemma aux: + fixes a b c::"nat" + assumes a: "a \ b" + shows " (c * a) \ (c * b)" +using a by (auto) + +text {* + With this you can easily implement the following proof + which is straight taken out of Velleman's "How To Prove It". +*} + +lemma + shows "1 + n * x \ (1 + x) \ n" +proof (induct n) + case 0 + show "1 + 0 * x \ (1 + x) \ 0" by simp +next + case (Suc n) + have ih: "1 + n * x \ (1 + x) \ n" by fact + have "1 + (Suc n) * x \ 1 + x + (n * x) + (n * x * x)" by (simp) + also have "\ = (1 + x) * (1 + n * x)" by simp + also have "\ \ (1 + x) * ((1 + x) \ n)" using ih aux by blast + also have "\ = (1 + x) \ (Suc n)" by simp + finally show "1 + (Suc n) * x \ (1 + x) \ (Suc n)" by simp +qed + +text {* + What Velleman actually wants to prove is a proper + inequality. For this we can nest proofs. +*} + +lemma + shows "n * x < (1 + x) \ n" +proof - + have "1 + n * x \ (1 + x) \ n" + proof (induct n) + case 0 + show "1 + 0 * x \ (1 + x) \ 0" by simp + next + case (Suc n) + have ih: "1 + n * x \ (1 + x) \ n" by fact + have "1 + (Suc n) * x \ 1 + x + (n * x) + (n * x * x)" by (simp) + also have "\ = (1 + x) * (1 + n * x)" by simp + also have "\ \ (1 + x) * ((1 + x) \ n)" using ih aux by blast + also have "\ = (1 + x) \ (Suc n)" by simp + finally show "1 + (Suc n) * x \ (1 + x) \ (Suc n)" by simp + qed + then show "n * x < (1 + x) \ n" by simp +qed + + +end + + + + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/cas09/Lec2.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/cas09/Lec2.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,660 @@ +(***************************************************************** + + Isabelle Tutorial + ----------------- + + 1st June 2009, Beijing + +*) + +theory Lec2 + imports "Main" +begin + +text {*********************************************************** + + Automatic proofs again: + +*} + +inductive + even :: "nat \ bool" +where + eZ[intro]: "even 0" +| eSS[intro]: "even n \ even (Suc (Suc n))" + +text {* + In the following two lemmas we have to indicate the induction, + but the routine calculations can be done completely automatically + by Isabelle's internal tools. +*} + +lemma even_twice: + shows "even (n + n)" +by (induct n) (auto) + +lemma even_add: + assumes a: "even n" + and b: "even m" + shows "even (n + m)" +using a b by (induct) (auto) + +text {* + In the next proof it was crucial that we introduced + the equation + + (Suc (Suc n) * m) = (m + m) + (n * m) + + because this allowed us to use the induction hypothesis + and the previous two lemmas. *} + +lemma even_mul: + assumes a: "even n" + shows "even (n * m)" +using a +proof (induct) + case eZ + show "even (0 * m)" by auto +next + case (eSS n) + have as: "even n" by fact + have ih: "even (n * m)" by fact + have "(Suc (Suc n) * m) = (m + m) + (n * m)" by simp + moreover + have "even (m + m)" using even_twice by simp + ultimately + show "even (Suc (Suc n) * m)" using ih even_add by (simp only:) +qed + +text {* + This proof cannot be found by the internal tools, but + Isabelle has an interface to external provers. This + interface is called sledgehammer and it finds the + proof more or less automatically. + +*} + + +lemma even_mul_auto: + assumes a: "even n" + shows "even (n * m)" +using a +apply(induct) +apply(metis eZ mult_is_0) +apply(metis even_add even_twice mult_Suc_right nat_add_assoc nat_mult_commute) +done + +text {* + The disadvantage of such proofs is that you do + not know why they are true. +*} + + +text {***************************************************************** + + Function Definitions + -------------------- + + Many functions over datatypes can be defined by recursion on the + structure. For this purpose, Isabelle provides "fun". To use it one needs + to give a name for the function, its type, optionally some pretty-syntax + and then some equations defining the function. Like in "inductive", + "fun" expects that more than one such equation is separated by "|". + + The Fibonacci function: + +*} + +fun + fib :: "nat \ nat" +where + "fib 0 = 1" +| "fib (Suc 0) = 1" +| "fib (Suc (Suc n)) = fib n + fib (Suc n)" + +text {* The Ackermann function: *} + +fun + ack :: "nat \ nat \ nat" +where + "ack 0 m = Suc m" +| "ack (Suc n) 0 = ack n (Suc 0)" +| "ack (Suc n) (Suc m) = ack n (ack (Suc n) m)" + +text {* + Non-terminating functions can lead to inconsistencies. +*} + +lemma + assumes a: "f x = f x + (1::nat)" + shows "False" +proof - + from a have "0 = (1::nat)" by simp + then show "False" by simp +qed + +text {* + If Isabelle cannot automatically prove termination, + then you can give an explicit measure that establishes + termination. For example a generalisation of the + Fibonacci function to integers can be shown terminating + +*} + +function + fib' :: "int \ int" +where + "n< -1 \ fib' n = fib' (n + 2) - fib' (n + 1)" +| "fib' -1 = (1::int)" +| "fib' 0 = (0::int)" +| "fib' 1 = (1::int)" +| "n > 1 \ fib' n = fib' (n - 1) + fib' (n - 2)" + by (atomize_elim, presburger) (auto) + +termination + by (relation "measure (\x. nat (\x\))") + (simp_all add: zabs_def) + + +text {***************************************************************** + + Datatypes + --------- + + Datatypes can be defined in Isabelle as follows: we have to provide the name + of the datatype and list its type-constructors. Each type-constructor needs + to have the information about the types of its arguments, and optionally + can also contain some information about pretty syntax. For example, we write + "[]" for Nil and ":::" for Cons. + +*} + +datatype 'a mylist = + MyNil ("[]") +| MyCons "'a" "'a mylist" ("_ ::: _" 65) + +text {* + You can easily define functions over the structure of datatypes. +*} + +fun + myappend :: "'a mylist \ 'a mylist \ 'a mylist" ("_ @@ _" 65) +where + "[] @@ xs = xs" +| "(y:::ys) @@ xs = y:::(ys @@ xs)" + +fun + myrev :: "'a mylist \ 'a mylist" +where + "myrev [] = []" +| "myrev (x:::xs) = (myrev xs) @@ (x:::[])" + +text {***************************************************************** + + Exercise: Prove the following fact about append and reversal. + +*} + +lemma myrev_append: + shows "myrev (xs @@ ys) = (myrev ys) @@ (myrev xs)" +proof (induct xs) + case MyNil + show "myrev ([] @@ ys) = myrev ys @@ myrev []" sorry +next + case (MyCons x xs) + have ih: "myrev (xs @@ ys) = myrev ys @@ myrev xs" by fact + + show "myrev ((x:::xs) @@ ys) = myrev ys @@ myrev (x:::xs)" sorry +qed + + + + + + + + + + + + + + + + +text {* auxiliary lemmas *} + +lemma mynil_append[simp]: + shows "xs @@ [] = xs" +by (induct xs) (auto) + +lemma myappend_assoc[simp]: + "(xs @@ ys) @@ zs = xs @@ (ys @@ zs)" +by (induct xs) (auto) + +lemma + shows "myrev (xs @@ ys) = (myrev ys) @@ (myrev xs)" +by (induct xs) (auto) + +text {***************************************************************** + + A WHILE Language: + + Arithmetic Expressions, Boolean Expressions, Commands + ----------------------------------------------------- + +*} + +types memory = "nat \ nat" + +datatype aexp = + C nat + | X nat + | Op1 "nat \ nat" aexp + | Op2 "nat \ nat \ nat" aexp aexp + +datatype bexp = + TRUE + | FALSE + | ROp "nat \ nat \ bool" aexp aexp + | NOT bexp + | AND bexp bexp + | OR bexp bexp + +datatype cmd = + SKIP + | ASSIGN nat aexp ("_ ::= _ " 60) + | SEQ cmd cmd ("_; _" [60, 60] 10) + | COND bexp cmd cmd ("IF _ THEN _ ELSE _" 60) + | WHILE bexp cmd ("WHILE _ DO _" 60) + +text {***************************************************************** + + Big-step Evaluation Semantics + ----------------------------- + +*} + +inductive + evala :: "aexp \ memory \ nat \ bool" ("'(_,_') \a _" [100,100] 50) +where + C: "(C n, m) \a n" +| X: "(X i, m) \a m i" +| Op1: "(e, m) \a n \ (Op1 f e, m) \a (f n)" +| Op2: "\(e0, m) \a n0; (e1, m) \a n1\ \ (Op2 f e0 e1, m) \a f n0 n1" + +inductive + evalb :: "bexp \ memory \ bool \ bool" ("'(_,_') \b _" [100,100] 50) +where + TRUE: "(TRUE, m) \b True" +| FALSE: "(FALSE, m) \b False" +| ROp: "\(e1, m) \a n1; (e2, m) \a n2\ \ (ROp f e1 e2, m) \b (f n1 n2)" +| NOT: "(e, m) \b b \ (NOT e, m) \b (Not b)" +| AND: "\(e1, m) \b b1; (e2, m) \b b2\ \ (AND e1 e2, m) \b (b1 \ b2)" +| OR: "\(e1, m) \b b1; (e2, m) \b b2\ \ (OR e1 e2, m) \b (b1 \ b2)" + +inductive + evalc :: "cmd \ memory \ memory \ bool" ("'(_,_') \c _" [0,0,60] 60) +where + SKIP: "(SKIP, m) \c m" +| ASSIGN: "(a, m) \a n \ (x::=a, m) \c m(x:=n)" +| SEQ: "\(c0, m) \c m'; (c1, m') \c m''\ \ (c0; c1, m) \c m''" +| IFTrue: "\(e, m) \b True; (c0, m) \c m'\ \ (IF e THEN c0 ELSE c1, m) \c m'" +| IFFalse: "\(e, m) \b False; (c1, m) \c m'\ \ (IF e THEN c0 ELSE c1, m) \c m'" +| WHILEFalse: "(e, m) \b False \ (WHILE e DO c,m) \c m" +| WHILETrue: "\(e, m) \b True; (c,m) \c m'; (WHILE e DO c, m') \c m''\ + \ (WHILE e DO c, m) \c m''" + +lemmas evala.intros[intro] evalb.intros[intro] evalc.intros[intro] + +text {***************************************************************** + + Machine Instructions + -------------------- + +*} + +datatype instr = + JPFZ "nat" (* JUMP forward n steps, if top of stack is False *) + | JPB "nat" (* JUMP backward n steps *) + | FETCH "nat" (* move memory to top of stack *) + | STORE "nat" (* move top of stack to memory *) + | PUSH "nat" (* push to stack *) + | OPU "nat \ nat" (* pop one from stack and apply f *) + | OPB "nat \ nat \ nat" (* pop two from stack and apply f *) + +text {***************************************************************** + + Booleans 'as' Zero and One + -------------------------- + +*} + +fun + WRAP::"bool\nat" +where + "WRAP True = Suc 0" +| "WRAP False = 0" + +fun + MNot::"nat \ nat" +where + "MNot 0 = 1" +| "MNot (Suc 0) = 0" + +fun + MAnd::"nat \ nat \ nat" +where + "MAnd 0 x = 0" +| "MAnd x 0 = 0" +| "MAnd (Suc 0) (Suc 0) = 1" + +fun + MOr::"nat \ nat \ nat" +where + "MOr 0 0 = 0" +| "MOr (Suc 0) x = 1" +| "MOr x (Suc 0) = 1" + +lemma MNot_WRAP: + "MNot (WRAP b) = WRAP (Not b)" +by (cases b) (auto) + +lemma MAnd_WRAP: + "MAnd (WRAP b1) (WRAP b2) = WRAP (b1 \ b2)" +by (cases b1, auto) (cases b2, simp_all) + + +lemma MOr_WRAP: + "MOr (WRAP b1) (WRAP b2) = WRAP (b1 \ b2)" +by (cases b1, auto) (cases b2, simp_all) + +lemmas WRAP_lems = MNot_WRAP MAnd_WRAP MOr_WRAP + +text {***************************************************************** + + Compiler Functions + ------------------ + +*} + +fun + compa +where + "compa (C n) = [PUSH n]" +| "compa (X l) = [FETCH l]" +| "compa (Op1 f e) = (compa e) @ [OPU f]" +| "compa (Op2 f e1 e2) = (compa e1) @ (compa e2) @ [OPB f]" + +fun + compb +where + "compb (TRUE) = [PUSH 1]" +| "compb (FALSE) = [PUSH 0]" +| "compb (ROp f e1 e2) = (compa e1) @ (compa e2) @ [OPB (\x y. WRAP (f x y))]" +| "compb (NOT e) = (compb e) @ [OPU MNot]" +| "compb (AND e1 e2) = (compb e1) @ (compb e2) @ [OPB MAnd]" +| "compb (OR e1 e2) = (compb e1) @ (compb e2) @ [OPB MOr]" + +fun + compc :: "cmd \ instr list" +where + "compc SKIP = []" +| "compc (x::=a) = (compa a) @ [STORE x]" +| "compc (c1;c2) = compc c1 @ compc c2" +| "compc (IF b THEN c1 ELSE c2) = + (compb b) @ [JPFZ (length(compc c1) + 2)] @ compc c1 @ + [PUSH 0, JPFZ (length(compc c2))] @ compc c2" +| "compc (WHILE b DO c) = + (compb b) @ + [JPFZ (length(compc c) + 1)] @ compc c @ + [JPB (length(compc c) + length(compb b)+1)]" + +value "compc SKIP" +value "compc (SKIP; SKIP)" +value "compa (Op2 (op +) (C 2) (C 3))" +value "compb (ROp (op <) (C 2) (C 3))" +value "compc (IF (ROp (op <) (C 2) (C 3)) THEN SKIP ELSE SKIP)" +value "compc (WHILE (ROp (op <) (C 2) (C 3)) DO SKIP)" +value "compc (x::= C 0; WHILE (ROp (op <) (X x) (C 3)) DO (x::= (Op2 (op +) (X x) (C 1))))" + +text {***************************************************************** + + Machine Execution + ----------------- + +*} + +types instrs = "instr list" +types stack = "nat list" + +abbreviation + "rtake i xs \ rev (take i xs)" + +inductive + step :: "instrs \ instrs \ stack \ memory \ + instrs \ instrs \ stack \ memory \ bool" ("'(_,_,_,_') \m '(_,_,_,_')") +where + "(PUSH n#p, q, s, m) \m (p, PUSH n#q, n#s, m)" + | "(FETCH i#p, q, s, m) \m (p, FETCH i#q, m i#s, m)" + | "(OPU f#p, q, n#s, m) \m (p, OPU f#q, f n#s, m)" + | "(OPB f#p, q, n1#n2#s, m) \m (p, OPB f#q, f n2 n1#s, m)" + | "(STORE i#p, q, n#s, m) \m (p, STORE i#q, s, m(i:=n))" + | "(JPFZ i#p, q, Suc 0#s, m) \m (p, JPFZ i#q, s, m)" + | "i\length p\(JPFZ i#p, q, 0#s, m) \m (drop i p, (rtake i p) @ (JPFZ i#q), s, m)" + | "i\length q\(JPB i#p, q, s, m) \m ((rtake i q) @ (JPB i#p), drop i q, s, m)" + +lemmas step.intros[intro] + +inductive_cases step_elim[elim]: + "(p,q,s,m) \m (p',q',s',m')" + +lemma exec_simp: + shows "(instr#p, q, s, m) \m (p', q', s', m') = + (case instr of + PUSH n \ (p' = p \ q' = instr#q \ s' = n#s \ m' = m) + | FETCH i \ (p' = p \ q' = instr#q \ s' = m i#s \ m' = m) + | OPU f \ (\n si. p' = p \ q' = instr#q \ s = n#si \ s' = f n#si \ m' = m) + | OPB f \ (\n1 n2 si. p' = p \ q' = instr#q \ s = n1#n2#si \ s' = f n2 n1#si \ m' = m) + | STORE i \ (\n si. p' = p \ q' = instr#q \ s = n#si \ s' = si \ m' = m(i:=n)) + | JPFZ i \ (\si. (p' = p \ q' = instr#q \ s = Suc 0#si \ s' = si \ m' = m) \ + (i\ length p \ p' = (drop i p) \ q' = (rev (take i p))@(instr#q) + \ s = 0#si \ s' = si \ m' = m )) + | JPB i \ (i \ length q \ p' = (rtake i q)@(JPB i#p) \ q' = drop i q \ s' = s \ m' = m))" +by (auto split: instr.split_asm split_if_asm) + +inductive + steps :: "instrs \ instrs \ stack \ memory \ + instrs \ instrs \ stack \ memory \ bool" ("'(_,_,_,_') \m* '(_,_,_,_')") +where + refl: "(p,q,s,m) \m* (p,q,s,m)" +| step: "\(p1,q1,s1,m1) \m (p2,q2,s2,m2); (p2,q2,s2,m2) \m* (p3,q3,s3,m3)\ + \ (p1,q1,s1,m1) \m* (p3,q3,s3,m3)" + +lemmas steps.step[intro] +lemmas steps.refl[simp] + +inductive_cases steps_elim[elim]: + "(p,q,s,m) \m* (p',q',s',m')" + +lemma steps_trans: + assumes a: "(p1,q1,s1,m1) \m* (p2,q2,s2,m2)" + and b: "(p2,q2,s2,m2) \m* (p3,q3,s3,m3)" + shows "(p1,q1,s1,m1) \m* (p3,q3,s3,m3)" +using a b by (induct) (auto) + +lemma steps_simp: + shows "(i#p,q,s,m) \m* (p',q',s',m') = + ((i#p,q,s,m) = (p',q',s',m') \ + (\pi qi si mi. (i#p,q,s,m) \m (pi,qi,si,mi) \ (pi,qi,si,mi) \m* (p',q',s',m')))" +by (auto) + +lemma compa_first_attempt: + assumes a: "(e, m) \a n" + shows "(compa e, [], [], m) \m* ([], rev (compa e), [n], m)" +using a +proof (induct) + case (C n m) + show "(compa (C n),[],[],m) \m* ([],rev (compa (C n)),[n],m)" + sorry +next + case (X i m) + show "(compa (X i),[],[],m) \m* ([],rev (compa (X i)),[m i],m)" + sorry +next + case (Op1 e m n f) + have as: "(e, m) \a n" by fact + have ih: "(compa e,[],[],m) \m* ([],rev (compa e),[n],m)" by fact + show "(compa (Op1 f e),[],[],m) \m* ([],rev (compa (Op1 f e)),[f n],m)" + using ih sorry +next + case (Op2 e0 m n0 e1 n1 f) + have as1: "(e0, m) \a n0" by fact + have as2: "(e1, m) \a n1" by fact + have ih1: "(compa e0,[],[],m) \m* ([],rev (compa e0),[n0],m)" by fact + have ih2: "(compa e1,[],[],m) \m* ([],rev (compa e1),[n1],m)" by fact + show "(compa (Op2 f e0 e1),[],[],m) \m* ([],rev (compa (Op2 f e0 e1)),[f n0 n1],m)" + using ih1[THEN steps_trans] ih2[THEN steps_trans] + sorry +qed + + + + + + + + + + + + + + + +lemma compa_aux: + assumes a: "(e, m) \a n" + shows "(compa e@p, q, s, m) \m* (p, rev (compa e)@q, n#s, m)" +using a +proof (induct arbitrary: p q s) + case (C n m p q s) + show "(compa (C n)@p,q,s,m) \m* (p,rev (compa (C n))@q,n#s,m)" + by (simp add: steps_simp exec_simp) +next + case (X i m p q s) + show "(compa (X i)@p,q,s,m) \m* (p,rev (compa (X i))@q,m i#s,m)" + by (simp add: steps_simp exec_simp) +next + case (Op1 e m n f p q s) + have as: "(e, m) \a n" by fact + have ih: "\p q s. (compa e@p,q,s,m) \m* (p,rev (compa e)@q,n#s,m)" by fact + show "(compa (Op1 f e)@p,q,s,m) \m* (p,rev (compa (Op1 f e))@q,f n#s,m)" + using ih[THEN steps_trans] by (simp add: steps_simp exec_simp) +next + case (Op2 e0 m n0 e1 n1 f p q s) + have as1: "(e0, m) \a n0" by fact + have as2: "(e1, m) \a n1" by fact + have ih1: "\p q s. (compa e0@p,q,s,m) \m* (p,rev (compa e0)@q,n0#s,m)" by fact + have ih2: "\p q s. (compa e1@p,q,s,m) \m* (p,rev (compa e1)@q,n1#s,m)" by fact + show "(compa (Op2 f e0 e1)@p,q,s,m) \m* (p,rev (compa (Op2 f e0 e1))@q,f n0 n1#s,m)" + using ih1[THEN steps_trans] ih2[THEN steps_trans] + by (simp add: steps_simp exec_simp) +qed + + +text {* + After the fact I constructed the detailed proof, I + could guide Isabelle to find the proof automatically. + + *B U T T H A T I S C H E A T I N G!!!* +*} + +lemma compa_aux_cheating: + assumes a: "(e,m) \a n" + shows "(compa e@p,q,s,m) \m* (p,rev (compa e)@q,n#s,m)" +using a +by (induct arbitrary: p q s) + (force intro: steps_trans simp add: steps_simp exec_simp)+ + + +lemma compb_aux_cheating: + assumes a: "(e,m) \b b" + shows "(compb e@p,q,s,m) \m* (p,rev (compb e)@q,(WRAP b)#s,m)" +using a +by (induct arbitrary: p q s) + (force intro: compa_aux steps_trans + simp add: steps_simp exec_simp WRAP_lems)+ + +text {* + + Exercise: After you know the lemma is provable, + try to give all details. + +*} + +lemma compb_aux: + assumes a: "(e, m) \b b" + shows "(compb e@p, q, s, m) \m* (p, rev (compb e)@q, WRAP b#s, m)" +using a +proof (induct arbitrary: p q s) + case (TRUE m p q s) + show "(compb TRUE@p,q,s,m) \m* (p,rev (compb TRUE)@q,WRAP True#s,m)" + sorry +next + case (FALSE m p q s) + show "(compb FALSE@p,q,s,m) \m* (p,rev (compb FALSE)@q,WRAP False#s,m)" + sorry +next + case (ROp e1 m n1 e2 n2 f p q s) + have as1: "(e1, m) \a n1" by fact + have as2: "(e2, m) \a n2" by fact + show "(compb (ROp f e1 e2)@p,q,s,m) + \m* (p,rev (compb (ROp f e1 e2))@q,WRAP (f n1 n2)#s,m)" + using as1 as2 sorry +next + case (NOT e m b p q s) + have ih: "\p q s. (compb e@p,q,s,m) \m* (p,rev (compb e)@q,WRAP b#s,m)" by fact + show "(compb (NOT e)@p,q,s,m) \m* (p,rev (compb (NOT e))@q,WRAP (\b)#s,m)" + using ih[THEN steps_trans] + sorry +next + case (AND e1 m b1 e2 b2 p q s) + have ih1: "\p q s. (compb e1@p,q,s,m) \m* (p,rev (compb e1)@q,WRAP b1#s,m)" by fact + have ih2: "\p q s. (compb e2@p,q,s,m) \m* (p,rev (compb e2)@q,WRAP b2#s,m)" by fact + show "(compb (AND e1 e2)@p,q,s,m) \m* (p,rev (compb (AND e1 e2))@q,WRAP (b1 \ b2)#s,m)" + using ih1[THEN steps_trans] ih2[THEN steps_trans] + sorry +next + case (OR e1 m b1 e2 b2 p q s) + have ih1: "\p q s. (compb e1@p,q,s,m) \m* (p,rev (compb e1)@q,WRAP b1#s,m)" by fact + have ih2: "\p q s. (compb e2@p,q,s,m) \m* (p,rev (compb e2)@q,WRAP b2#s,m)" by fact + show "(compb (OR e1 e2)@p,q,s,m) \m* (p,rev (compb (OR e1 e2))@q,WRAP (b1 \ b2)#s,m)" + using ih1[THEN steps_trans] ih2[THEN steps_trans] + sorry +qed + +text {* + + Also the detailed proof of this lemma is left as an exercise. + +*} + +lemma compc_aux_cheating: + assumes a: "(c,m) \c m'" + shows "(compc c@p,q,s,m) \m* (p,rev (compc c)@q,s,m')" +using a +by (induct arbitrary: p q) + (force intro: compa_aux compb_aux_cheating steps_trans + simp add: steps_simp exec_simp)+ + +end + + + + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/cas09/Lec3.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/cas09/Lec3.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,437 @@ +(***************************************************************** + + Isabelle Tutorial + ----------------- + + 2st June 2009, Beijing + +*) + +theory Lec3 + imports "Main" +begin + + +definition + lang_seq :: "string set \ string set \ string set" ("_ ; _") +where + "L1 ; L2 = {s1@s2 | s1 s2. s1 \ L1 \ s2 \ L2}" + +fun + lang_pow :: "string set \ nat \ string set" ("_ \ _") +where + "L \ 0 = {[]}" +| "L \ (Suc i) = L ; (L \ i)" + +definition + lang_star :: "string set \ string set" ("_\") +where + "L\ \ \i. (L \ i)" + +lemma lang_seq_cases: + shows "(s \ L1 ; L2) = (\s1 s2. s = s1@s2 \ s1\L1 \ s2\L2)" +by (simp add: lang_seq_def) + +lemma lang_seq_union: + shows "(L1 \ L2);L3 = (L1;L3) \ (L2;L3)" + and "L1;(L2 \ L3) = (L1;L2) \ (L1;L3)" +unfolding lang_seq_def by auto + +lemma lang_seq_empty: + shows "{[]} ; L = L" + and "L ; {[]} = L" +unfolding lang_seq_def by auto + +lemma lang_seq_assoc: + shows "(L1 ; L2) ; L3 = L1 ; (L2 ; L3)" +by (simp add: lang_seq_def Collect_def mem_def expand_fun_eq) + (metis append_assoc) + +lemma silly: + shows "[] \ L \ 0" +by simp + +lemma lang_star_empty: + shows "{[]} \ (L\) = L\" +unfolding lang_star_def +by (auto intro: silly) + +lemma lang_star_in_empty: + shows "[] \ L\" +unfolding lang_star_def +by (auto intro: silly) + +lemma lang_seq_subseteq: + shows "L \ (L'\) ; L" + and "L \ L ; (L'\)" +proof - + have "L = {[]} ; L" using lang_seq_empty by simp + also have "\ \ ({[]} ; L) \ ((L'\) ; L)" by auto + also have "\ = ({[]} \ (L'\)) ; L" by (simp add: lang_seq_union[symmetric]) + also have "\ = (L'\); L" using lang_star_empty by simp + finally show "L \ (L'\); L" by simp +next + show "L \ L ; (L'\)" sorry +qed + +lemma lang_star_subseteq: + shows "L ; (L\) \ (L\)" +unfolding lang_star_def lang_seq_def +apply(auto) +apply(rule_tac x="Suc xa" in exI) +apply(auto simp add: lang_seq_def) +done + +(* regular expressions *) + +datatype rexp = + EMPTY +| CHAR char +| SEQ rexp rexp +| ALT rexp rexp +| STAR rexp + +fun + L :: "rexp \ string set" +where + "L(EMPTY) = {[]}" +| "L(CHAR c) = {[c]}" +| "L(SEQ r1 r2) = (L r1) ; (L r2)" +| "L(ALT r1 r2) = (L r1) \ (L r2)" +| "L(STAR r) = (L r)\" + +definition + Ls :: "rexp set \ string set" +where + "Ls R = (\r\R. (L r))" + +lemma + shows "Ls {} = {}" +unfolding Ls_def by simp + +lemma Ls_union: + "Ls (R1 \ R2) = (Ls R1) \ (Ls R2)" +unfolding Ls_def by auto + +function + dagger :: "rexp \ char \ rexp set" ("_ \ _") +where + r1: "(EMPTY) \ c = {}" +| r2: "(CHAR c') \ c = (if c = c' then {EMPTY} else {})" +| r3: "(ALT r1 r2) \ c = r1 \ c \ r2 \ c" +| r4: "(SEQ EMPTY r2) \ c = r2 \ c" +| r5: "(SEQ (CHAR c') r2) \ c = (if c= c' then {r2} else {})" +| r6: "(SEQ (SEQ r11 r12) r2) \ c = (SEQ r11 (SEQ r12 r2)) \ c" +| r7: "(SEQ (ALT r11 r12) r2) \ c = (SEQ r11 r2) \ c \ (SEQ r12 r2) \ c" +| r8: "(SEQ (STAR r1) r2) \ c = + r2 \ c \ {SEQ (SEQ r' (STAR r1)) r2 | r'. r' \ r1 \ c}" +| r9: "(STAR r) \ c = {SEQ r' (STAR r) | r'. r' \ r \ c}" +by (pat_completeness) (auto) + +termination + dagger sorry + +definition + OR :: "bool set \ bool" +where + "OR S \ (\b\S. b)" + +function + matcher :: "rexp \ string \ bool" ("_ ! _") +where + s01: "EMPTY ! s = (s =[])" +| s02: "CHAR c ! s = (s = [c])" +| s03: "ALT r1 r2 ! s = (r1 ! s \ r2 ! s)" +| s04: "STAR r ! [] = True" +| s05: "STAR r ! c#s = (False \ OR {SEQ (r') (STAR r)!s | r'. r' \ r \ c})" +| s06: "SEQ r1 r2 ! [] = (r1 ! [] \ r2 ! [])" +| s07: "SEQ EMPTY r2 ! (c#s) = (r2 ! c#s)" +| s08: "SEQ (CHAR c') r2 ! (c#s) = (if c'=c then r2 ! s else False)" +| s09: "SEQ (SEQ r11 r12) r2 ! (c#s) = (SEQ r11 (SEQ r12 r2) ! c#s)" +| s10: "SEQ (ALT r11 r12) r2 ! (c#s) = ((SEQ r11 r2) ! (c#s) \ (SEQ r12 r2) ! (c#s))" +| s11: "SEQ (STAR r1) r2 ! (c#s) = + (r2 ! (c#s) \ OR {SEQ r' (SEQ (STAR r1) r2) ! s | r'. r' \ r1 \ c})" +by (pat_completeness) (auto) + +termination + matcher sorry + +lemma "(CHAR a) ! [a]" by auto +lemma "\(CHAR a) ! [a,a]" by auto +lemma "(STAR (CHAR a)) ! []" by auto +lemma "(STAR (CHAR a)) ! [a,a]" by (auto simp add: OR_def) +lemma "(SEQ (CHAR a) (SEQ (STAR (CHAR b)) (CHAR c))) ! [a,b,b,b,c]" + by (auto simp add: OR_def) + +lemma holes: + assumes a: "Ls (r \ c) = {s. c#s \ L r}" + shows "Ls (r \ c) ; L (STAR r) = {s''. c#s'' \ L (STAR r)}" +proof - + have "Ls (r \ c) ; L (STAR r) = {s. c#s \ L r} ; L (STAR r)" by (simp add: a) + also have "\ = {s'. c#s' \ (L r ; L (STAR r))}" sorry + also have "\ = {s''. c#s'' \ L (STAR r)}" sorry + finally show "Ls (r \ c) ; L (STAR r) = {s''. c#s'' \ L (STAR r)}" by simp +qed + +lemma eq: + shows "Ls (STAR r) \ c = (Ls (r \ c) ; L (STAR r))" +proof + show "Ls STAR r \ c \ Ls r \ c ; L (STAR r)" + by (auto simp add: lang_star_def lang_seq_def Ls_def) (blast) +next + show "Ls r \ c ; L (STAR r) \ Ls STAR r \ c" + apply(auto simp add: lang_star_def lang_seq_def Ls_def) + apply(rule_tac x="SEQ xa (STAR r)" in exI) + apply(simp add: lang_star_def lang_seq_def) + apply(blast) + done +qed + +(* correctness of the matcher *) +lemma dagger_holes: + "Ls (r \ c) = {s. c#s \ L r}" +proof (induct rule: dagger.induct) + case (1 c) + show "Ls (EMPTY \ c) = {s. c#s \ L EMPTY}" + by (simp add: Ls_def) +next + case (2 c' c) + show "Ls (CHAR c') \ c = {s. c#s \ L (CHAR c')}" + proof (cases "c=c'") + assume "c=c'" + then show "Ls (CHAR c') \ c = {s. c#s \ L (CHAR c')}" + by (simp add: Ls_def) + next + assume "c\c'" + then show "Ls (CHAR c') \ c = {s. c#s \ L (CHAR c')}" + by (simp add: Ls_def) + qed +next + case (3 r1 r2 c) + have ih1: "Ls r1 \ c = {s. c#s \ L r1}" by fact + have ih2: "Ls r2 \ c = {s. c#s \ L r2}" by fact + show "Ls (ALT r1 r2) \ c = {s. c#s \ L (ALT r1 r2)}" + by (auto simp add: Ls_union ih1 ih2) +next + case (4 r2 c) + have ih: "Ls r2 \ c = {s. c#s \ L r2}" by fact + show "Ls (SEQ EMPTY r2) \ c = {s. c#s \ L (SEQ EMPTY r2)}" + by (simp add: ih lang_seq_empty) +next + case (5 c' r2 c) + show "Ls (SEQ (CHAR c') r2) \ c = {s. c#s \ L (SEQ (CHAR c') r2)}" + proof (cases "c=c'") + assume "c=c'" + then show "Ls (SEQ (CHAR c') r2) \ c = {s. c#s \ L (SEQ (CHAR c') r2)}" + by (simp add: Ls_def lang_seq_def) + next + assume "c\c'" + then show "Ls (SEQ (CHAR c') r2) \ c = {s. c#s \ L (SEQ (CHAR c') r2)}" + by (simp add: Ls_def lang_seq_def) + qed +next + case (6 r11 r12 r2 c) + have ih: "Ls (SEQ r11 (SEQ r12 r2)) \ c = {s. c#s \ L (SEQ r11 (SEQ r12 r2))}" by fact + show "Ls (SEQ (SEQ r11 r12) r2) \ c = {s. c # s \ L (SEQ (SEQ r11 r12) r2)}" + by (simp add: ih lang_seq_assoc) +next + case (7 r11 r12 r2 c) + have ih1: "Ls (SEQ r11 r2) \ c = {s. c#s \ L (SEQ r11 r2)}" by fact + have ih2: "Ls (SEQ r12 r2) \ c = {s. c#s \ L (SEQ r12 r2)}" by fact + show "Ls (SEQ (ALT r11 r12) r2) \ c = {s. c#s \ L (SEQ (ALT r11 r12) r2)}" + by (auto simp add: Ls_union ih1 ih2 lang_seq_union) +next + case (8 r1 r2 c) + have ih1: "Ls r2 \ c = {s. c#s \ L r2}" by fact + have ih2: "Ls r1 \ c = {s. c#s \ L r1}" by fact + show "Ls (SEQ (STAR r1) r2) \ c = {s. c#s \ L (SEQ (STAR r1) r2)}" + sorry +next + case (9 r c) + have ih: "Ls r \ c = {s. c#s \ L r}" by fact + show "Ls (STAR r) \ c = {s. c#s \ L (STAR r)}" + by (simp only: eq holes[OF ih] del: r9) +qed + +(* correctness of the matcher *) +lemma macher_holes: + shows "r ! s \ s \ L r" + and "\ r ! s \ s \ L r" +proof (induct rule: matcher.induct) + case (1 s) + { case 1 + have "EMPTY ! s" by fact + then show "s \ L EMPTY" by simp + next + case 2 + have "\ EMPTY ! s" by fact + then show "s \ L EMPTY" by simp + } +next + case (2 c s) + { case 1 + have "CHAR c ! s" by fact + then show "s \ L (CHAR c)" by simp + next + case 2 + have "\ CHAR c ! s" by fact + then show "s \ L (CHAR c)" by simp + } +next + case (3 r1 r2 s) + have ih1: "r1 ! s \ s \ L r1" by fact + have ih2: "\ r1 ! s \ s \ L r1" by fact + have ih3: "r2 ! s \ s \ L r2" by fact + have ih4: "\ r2 ! s \ s \ L r2" by fact + { case 1 + have "ALT r1 r2 ! s" by fact + then show "s \ L (ALT r1 r2)" by (auto simp add: ih1 ih3) + next + case 2 + have "\ ALT r1 r2 ! s" by fact + then show "s \ L (ALT r1 r2)" by (simp add: ih2 ih4) + } +next + case (4 r) + { case 1 + have "STAR r ! []" by fact + then show "[] \ L (STAR r)" by (simp add: lang_star_in_empty) + next + case 2 + have "\ STAR r ! []" by fact + then show "[] \ L (STAR r)" by (simp) + } +next + case (5 r c s) + have ih1: "\rx. SEQ rx (STAR r) ! s \ s \ L (SEQ rx (STAR r))" by fact + have ih2: "\rx. \SEQ rx (STAR r) ! s \ s \ L (SEQ rx (STAR r))" by fact + { case 1 + have as: "STAR r ! c#s" by fact + then have "\r' \ r \ c. SEQ r' (STAR r) ! s" by (auto simp add: OR_def) + then obtain r' where imp1: "r' \ r \ c" and imp2: "SEQ r' (STAR r) ! s" by blast + from imp2 have "s \ L (SEQ r' (STAR r))" using ih1 by simp + then have "s \ L r' ; L (STAR r)" by simp + then have "c#s \ {[c]} ; (L r' ; L (STAR r))" by (simp add: lang_seq_def) + also have "\ \ L r ; L (STAR r)" using imp1 + apply(auto simp add: lang_seq_def) sorry + also have "\ \ L (STAR r)" by (simp add: lang_star_subseteq) + finally show "c#s \ L (STAR r)" by simp + next + case 2 + have as: "\ STAR r ! c#s" by fact + then have "\r'\ r \ c. \ (SEQ r' (STAR r) ! s)" + by (auto simp add: OR_def) + then have "\r'\ r \ c. s \ L (SEQ r' (STAR r))" using ih2 by auto + then obtain r' where "r'\ r \ c \ s \ L (SEQ r' (STAR r))" by auto + + show "c#s \ L (STAR r)" sorry + } +next + case (6 r1 r2) + have ih1: "r1 ! [] \ [] \ L r1" by fact + have ih2: "\ r1 ! [] \ [] \ L r1" by fact + have ih3: "r2 ! [] \ [] \ L r2" by fact + have ih4: "\ r2 ! [] \ [] \ L r2" by fact + { case 1 + have as: "SEQ r1 r2 ! []" by fact + then have "r1 ! [] \ r2 ! []" by (simp) + then show "[] \ L (SEQ r1 r2)" using ih1 ih3 by (simp add: lang_seq_def) + next + case 2 + have "\ SEQ r1 r2 ! []" by fact + then have "(\ r1 ! []) \ (\ r2 ! [])" by (simp) + then show "[] \ L (SEQ r1 r2)" using ih2 ih4 + by (auto simp add: lang_seq_def) + } +next + case (7 r2 c s) + have ih1: "r2 ! c#s \ c#s \ L r2" by fact + have ih2: "\ r2 ! c#s \ c#s \ L r2" by fact + { case 1 + have "SEQ EMPTY r2 ! c#s" by fact + then show "c#s \ L (SEQ EMPTY r2)" + using ih1 by (simp add: lang_seq_def) + next + case 2 + have "\ SEQ EMPTY r2 ! c#s" by fact + then show "c#s \ L (SEQ EMPTY r2)" + using ih2 by (simp add: lang_seq_def) + } +next + case (8 c' r2 c s) + have ih1: "\c' = c; r2 ! s\ \ s \ L r2" by fact + have ih2: "\c' = c; \r2 ! s\ \ s \ L r2" by fact + { case 1 + have "SEQ (CHAR c') r2 ! c#s" by fact + then show "c#s \ L (SEQ (CHAR c') r2)" + using ih1 by (auto simp add: lang_seq_def split: if_splits) + next + case 2 + have "\ SEQ (CHAR c') r2 ! c#s" by fact + then show "c#s \ L (SEQ (CHAR c') r2)" + using ih2 by (auto simp add: lang_seq_def) + } +next + case (9 r11 r12 r2 c s) + have ih1: "SEQ r11 (SEQ r12 r2) ! c#s \ c#s \ L (SEQ r11 (SEQ r12 r2))" by fact + have ih2: "\ SEQ r11 (SEQ r12 r2) ! c#s \ c#s \ L (SEQ r11 (SEQ r12 r2))" by fact + { case 1 + have "SEQ (SEQ r11 r12) r2 ! c#s" by fact + then show "c#s \ L (SEQ (SEQ r11 r12) r2)" + using ih1 + apply(auto simp add: lang_seq_def) + apply(rule_tac x="s1@s1a" in exI) + apply(rule_tac x="s2a" in exI) + apply(simp) + apply(blast) + done + next + case 2 + have "\ SEQ (SEQ r11 r12) r2 ! c#s" by fact + then show "c#s \ L (SEQ (SEQ r11 r12) r2)" + using ih2 by (auto simp add: lang_seq_def) + } +next + case (10 r11 r12 r2 c s) + have ih1: "SEQ r11 r2 ! c#s \ c#s \ L (SEQ r11 r2)" by fact + have ih2: "\ SEQ r11 r2 ! c#s \ c#s \ L (SEQ r11 r2)" by fact + have ih3: "SEQ r12 r2 ! c#s \ c#s \ L (SEQ r12 r2)" by fact + have ih4: "\ SEQ r12 r2 ! c#s \ c#s \ L (SEQ r12 r2)" by fact + { case 1 + have "SEQ (ALT r11 r12) r2 ! c#s" by fact + then show "c#s \ L (SEQ (ALT r11 r12) r2)" + using ih1 ih3 by (auto simp add: lang_seq_union) + next + case 2 + have "\ SEQ (ALT r11 r12) r2 ! c#s" by fact + then show " c#s \ L (SEQ (ALT r11 r12) r2)" + using ih2 ih4 by (simp add: lang_seq_union) + } +next + case (11 r1 r2 c s) + have ih1: "r2 ! c#s \ c#s \ L r2" by fact + have ih2: "\r2 ! c#s \ c#s \ L r2" by fact + { case 1 + have "SEQ (STAR r1) r2 ! c#s" by fact + then show "c#s \ L (SEQ (STAR r1) r2)" + using ih1 sorry + next + case 2 + have "\ SEQ (STAR r1) r2 ! c#s" by fact + then show "c#s \ L (SEQ (STAR r1) r2)" + using ih2 sorry + } +qed + + +end + + + + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/cas09/index.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/cas09/index.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,90 @@ + + + + + Isabelle Tutorial at CAS + + + + +

Isabelle Tutorial

+ +

+ + +

+ +

Introduction to the Isabelle Theorem Prover

+

+ +

+ + + + + +
+

Time: +

+ + The tutorial will take place in Lecture Room 334, State Key Lab of + Computer Science, Level 3 Building #5, Institute of Software, CAS +

+ +

Download and Installation:

+ + The tutorial will be hands-on. Please already have Isabelle installed on your + laptop before coming to the tutorial. If you do not have a laptop, let us + know. We will find a solution. + If you have any problems with the installation, + then do not hesitate to contact me: urbanc at in tum de. I will also be available + in room 316 at the ISCAS. Please feel free to stop by!

+ + + To install Isabelle you need four packages: Polyml, Isabelle 2009, an emacs and + Proof General. Download and Installation instructions for Linux, MacOSX and + Windows are below:

+ + Download
+ Installation Notes

+ + Once you have Isabelle running make sure XSymbols are switched on (click + on ProofGeneral -> Options -> XSymbols and then save the options).

+ + If you can step through the following theory file, then you are done.

+ + Example.thy

+ + Whenever you have problems, please meet me or send + me an email.

+ + Overview:

+ + The course will be an introduction to the theorem prover Isabelle. No + previous experience with a theorem prover is necessary. During the course + you will be able to follow the examples on your own laptop. I will + start with simple examples about natural numbers and lists. More + advanced examples will come from structural operational semantics. The + hope is that we will be able to prove a compiler correctness theorem + for a WHILE-language. The main aim of the course is to give + participants enough experience to allow them to start using Isabelle in + their own work.

+

+ 		+
+
+ +
+ + +Last modified: Tue Jun 2 00:21:46 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/cas09/slides1.pdf Binary file Nominal/activities/cas09/slides1.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/cas09/slides2.pdf Binary file Nominal/activities/cas09/slides2.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/cas09/slides3.pdf Binary file Nominal/activities/cas09/slides3.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/idp/index.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/idp/index.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,23 @@ + + + + + Nominal Methods Group + + + + + + + + + + + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/idp/logo-documentation.eps --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/idp/logo-documentation.eps Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,6488 @@ +%!PS-Adobe-2.0 EPSF-1.2 +%%Title: isabelle_any +%%Creator: FreeHand 5.5 +%%CreationDate: 24.09.1998 21:04 Uhr +%%BoundingBox: 0 0 202 178 +%%FHPathName:MacSystem:Home:Markus:TUM:Isabelle Logo:export:isabelle_any +%ALDOriginalFile:MacSystem:Home:Markus:TUM:Isabelle Logo:export:isabelle_any +%ALDBoundingBox: -153 -386 442 456 +%%FHPageNum:1 +%%DocumentSuppliedResources: procset Altsys_header 4 0 +%%ColorUsage: Color +%%DocumentProcessColors: Cyan Magenta Yellow Black +%%DocumentNeededResources: font Symbol +%%+ font ZapfHumanist601BT-Bold +%%DocumentFonts: Symbol +%%+ ZapfHumanist601BT-Bold +%%DocumentNeededFonts: Symbol +%%+ ZapfHumanist601BT-Bold +%%EndComments +%!PS-AdobeFont-1.0: ZapfHumanist601BT-Bold 003.001 +%%CreationDate: Mon Jun 22 16:09:28 1992 +%%VMusage: 35200 38400 +% Bitstream Type 1 Font Program +% Copyright 1990-1992 as an unpublished work by Bitstream Inc., Cambridge, MA. +% All rights reserved. +% Confidential and proprietary to Bitstream Inc. +% U.S. GOVERNMENT RESTRICTED RIGHTS +% This software typeface product is provided with RESTRICTED RIGHTS. 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true}{false}ifelse}bdf +/ndf{1 index where{pop pop pop}{dup xcheck{bind}if def}ifelse}bdf +/d{setdash}bdf +/h{closepath}bdf +/H{}bdf +/J{setlinecap}bdf +/j{setlinejoin}bdf +/M{setmiterlimit}bdf +/n{newpath}bdf +/N{newpath}bdf +/q{gsave}bdf +/Q{grestore}bdf +/w{setlinewidth}bdf +/sepdef{ + dup where not + { +AltsysSepDict + } + if + 3 1 roll exch put +}bdf +/st{settransfer}bdf +/colorimage defed /_rci xdf +/_NXLevel2 defed { + _NXLevel2 not { +/colorimage where { +userdict eq { +/_rci false def +} if +} if + } if +} if +/md defed{ + md type /dicttype eq { +/colorimage where { +md eq { +/_rci false def +}if +}if +/settransfer where { +md eq { +/st systemdict /settransfer get def +}if +}if + }if +}if +/setstrokeadjust defed +{ + true setstrokeadjust + /C{curveto}bdf + /L{lineto}bdf + /m{moveto}bdf +} +{ + /dr{transform .25 sub round .25 add +exch .25 sub round .25 add exch itransform}bdf + /C{dr curveto}bdf + /L{dr lineto}bdf + /m{dr moveto}bdf + /setstrokeadjust{pop}bdf +}ifelse 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setlinejoin 10 setmiterlimit [] 0 setdash newpath + +} bdf +/currentpacking defed{true setpacking}if +/min{2 copy gt{exch}if pop}bdf +/max{2 copy lt{exch}if pop}bdf +/xformfont { currentfont exch makefont setfont } bdf +/fhnumcolors 1 + statusdict begin +/processcolors defed +{ +pop processcolors +} +{ +/deviceinfo defed { +deviceinfo /Colors known { +pop deviceinfo /Colors get +} if +} if +} ifelse + end +def +/printerRes + gsave + matrix defaultmatrix setmatrix + 72 72 dtransform + abs exch abs + max + grestore + def +/graycalcs +[ + {Angle Frequency} + {GrayAngle GrayFrequency} + {0 Width Height matrix defaultmatrix idtransform +dup mul exch dup mul add sqrt 72 exch div} + {0 GrayWidth GrayHeight matrix defaultmatrix idtransform +dup mul exch dup mul add sqrt 72 exch div} +] def +/calcgraysteps { + forcemaxsteps + { +maxsteps + } + { +/currenthalftone defed +{currenthalftone /dicttype eq}{false}ifelse +{ +currenthalftone begin +HalftoneType 4 le +{graycalcs HalftoneType 1 sub get exec} +{ +HalftoneType 5 eq +{ +Default begin +{graycalcs HalftoneType 1 sub get exec} +end +} +{0 60} +ifelse +} +ifelse +end +} +{ +currentscreen pop exch +} +ifelse + +printerRes 300 max exch div exch +2 copy +sin mul round dup mul +3 1 roll +cos mul round dup mul +add 1 add +dup maxsteps gt {pop maxsteps} if + } + ifelse +} bdf +/nextrelease defed { + /languagelevel defed not { +/framebuffer defed { +0 40 string framebuffer 9 1 roll 8 {pop} repeat +dup 516 eq exch 520 eq or +{ +/fhnumcolors 3 def +/currentscreen {60 0 {pop pop 1}}bdf +/calcgraysteps {maxsteps} bdf +}if +}if + }if +}if +fhnumcolors 1 ne { + /calcgraysteps {maxsteps} bdf +} if +/currentpagedevice defed { + + + currentpagedevice /PreRenderingEnhance known + { +currentpagedevice /PreRenderingEnhance get +{ +/calcgraysteps +{ +forcemaxsteps +{maxsteps} +{256 maxsteps min} +ifelse +} def +} if + } if +} if +/gradfrequency 144 def +printerRes 1000 lt { + /gradfrequency 72 def +} if +/adjnumsteps { + + dup dtransform abs exch abs max + + printerRes div + + gradfrequency mul + round + 5 max + min +}bdf +/goodsep { + spots exch get 4 get dup sepname eq exch (_vc_Registration) eq or +}bdf +/BeginGradation defed +{/bb{BeginGradation}bdf} +{/bb{}bdf} +ifelse +/EndGradation defed +{/eb{EndGradation}bdf} +{/eb{}bdf} +ifelse +/bottom -0 def +/delta -0 def +/frac -0 def +/height -0 def +/left -0 def +/numsteps1 -0 def +/radius -0 def +/right -0 def +/top -0 def +/width -0 def +/xt -0 def +/yt -0 def +/df currentflat def +/tempstr 1 string def +/clipflatness currentflat def +/inverted? + 0 currenttransfer exec .5 ge def +/tc1 [0 0 0 1] def +/tc2 [0 0 0 1] def +/storerect{/top xdf /right xdf /bottom xdf /left xdf +/width right left sub def /height top bottom sub def}bdf +/concatprocs{ + systemdict /packedarray known + {dup type /packedarraytype eq 2 index type /packedarraytype eq or}{false}ifelse + { +/proc2 exch cvlit def /proc1 exch cvlit def +proc1 aload pop proc2 aload pop +proc1 length proc2 length add packedarray cvx + } + { +/proc2 exch cvlit def /proc1 exch cvlit def +/newproc proc1 length proc2 length add array def +newproc 0 proc1 putinterval newproc proc1 length proc2 putinterval +newproc cvx + }ifelse +}bdf +/i{dup 0 eq + {pop df dup} + {dup} ifelse + /clipflatness xdf setflat +}bdf +version cvr 38.0 le +{/setrgbcolor{ +currenttransfer exec 3 1 roll +currenttransfer exec 3 1 roll +currenttransfer exec 3 1 roll +setrgbcolor}bdf}if +/vms {/vmsv save def} bdf +/vmr {vmsv restore} bdf +/vmrs{vmsv restore /vmsv save def}bdf +/eomode{ + {/filler /eofill load def /clipper /eoclip load def} + {/filler /fill load def /clipper /clip load def} + ifelse +}bdf +/normtaper{}bdf +/logtaper{9 mul 1 add log}bdf +/CD{ + /NF exch def + { +exch dup +/FID ne 1 index/UniqueID ne and +{exch NF 3 1 roll put} +{pop pop} +ifelse + }forall + NF +}bdf +/MN{ + 1 index length + /Len exch def + dup length Len add + string dup + Len + 4 -1 roll + putinterval + dup + 0 + 4 -1 roll + putinterval +}bdf +/RC{4 -1 roll /ourvec xdf 256 string cvs(|______)anchorsearch + {1 index MN cvn/NewN exch def cvn + findfont dup maxlength dict CD dup/FontName NewN put dup + /Encoding ourvec put NewN exch definefont pop}{pop}ifelse}bdf +/RF{ + dup + FontDirectory exch + known + {pop 3 -1 roll pop} + {RC} + ifelse +}bdf +/FF{dup 256 string cvs(|______)exch MN cvn dup FontDirectory exch known + {exch pop findfont 3 -1 roll pop} + {pop dup findfont dup maxlength dict CD dup dup + /Encoding exch /Encoding get 256 array copy 7 -1 roll + {3 -1 roll dup 4 -2 roll put}forall put definefont} + ifelse}bdf +/RFJ{ + dup + FontDirectory exch + known + {pop 3 -1 roll pop + FontDirectory /Ryumin-Light-83pv-RKSJ-H known + {pop pop /Ryumin-Light-83pv-RKSJ-H dup}if + } + {RC} + ifelse +}bdf +/FFJ{dup 256 string cvs(|______)exch MN cvn dup FontDirectory exch known + {exch pop findfont 3 -1 roll pop} + {pop +dup FontDirectory exch known not + {FontDirectory /Ryumin-Light-83pv-RKSJ-H known +{pop /Ryumin-Light-83pv-RKSJ-H}if + }if + dup findfont dup maxlength dict CD dup dup + /Encoding exch /Encoding get 256 array copy 7 -1 roll + {3 -1 roll dup 4 -2 roll put}forall put definefont} + ifelse}bdf +/fps{ + currentflat + exch + dup 0 le{pop 1}if + { +dup setflat 3 index stopped +{1.3 mul dup 3 index gt{pop setflat pop pop stop}if} +{exit} +ifelse + }loop + pop setflat pop pop +}bdf +/fp{100 currentflat fps}bdf +/clipper{clip}bdf +/W{/clipper load 100 clipflatness dup setflat fps}bdf +userdict begin /BDFontDict 29 dict def end +BDFontDict begin +/bu{}def +/bn{}def +/setTxMode{av 70 ge{pop}if pop}def +/gm{m}def +/show{pop}def +/gr{pop}def +/fnt{pop pop pop}def +/fs{pop}def +/fz{pop}def +/lin{pop pop}def +/:M {pop pop} def +/sf {pop} def +/S {pop} def +/@b {pop pop pop pop pop pop pop pop} def +/_bdsave /save load def +/_bdrestore /restore load def +/save { dup /fontsave eq {null} {_bdsave} ifelse } def +/restore { dup null eq { pop } { _bdrestore } ifelse } def +/fontsave null def +end +/MacVec 256 array def +MacVec 0 /Helvetica findfont +/Encoding get 0 128 getinterval putinterval +MacVec 127 /DEL put MacVec 16#27 /quotesingle put MacVec 16#60 /grave put +/NUL/SOH/STX/ETX/EOT/ENQ/ACK/BEL/BS/HT/LF/VT/FF/CR/SO/SI +/DLE/DC1/DC2/DC3/DC4/NAK/SYN/ETB/CAN/EM/SUB/ESC/FS/GS/RS/US +MacVec 0 32 getinterval astore pop +/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis/Udieresis/aacute +/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute/egrave +/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde/oacute +/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex/udieresis +/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls +/registered/copyright/trademark/acute/dieresis/notequal/AE/Oslash +/infinity/plusminus/lessequal/greaterequal/yen/mu/partialdiff/summation +/product/pi/integral/ordfeminine/ordmasculine/Omega/ae/oslash +/questiondown/exclamdown/logicalnot/radical/florin/approxequal/Delta/guillemotleft +/guillemotright/ellipsis/nbspace/Agrave/Atilde/Otilde/OE/oe +/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide/lozenge +/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright/fi/fl +/daggerdbl/periodcentered/quotesinglbase/quotedblbase +/perthousand/Acircumflex/Ecircumflex/Aacute +/Edieresis/Egrave/Iacute/Icircumflex/Idieresis/Igrave/Oacute/Ocircumflex +/apple/Ograve/Uacute/Ucircumflex/Ugrave/dotlessi/circumflex/tilde +/macron/breve/dotaccent/ring/cedilla/hungarumlaut/ogonek/caron +MacVec 128 128 getinterval astore pop +end %. AltsysDict +%%EndResource +%%EndProlog +%%BeginSetup +AltsysDict begin +_bfh +%%IncludeResource: font Symbol +_efh +0 dict dup begin +end +/f0 /Symbol FF def +_bfh +%%IncludeResource: font ZapfHumanist601BT-Bold +_efh +0 dict dup begin +end +/f1 /ZapfHumanist601BT-Bold FF def +end %. AltsysDict +%%EndSetup +AltsysDict begin +/onlyk4{false}ndf +/ccmyk{dup 5 -1 roll sub 0 max exch}ndf +/cmyk2gray{ + 4 -1 roll 0.3 mul 4 -1 roll 0.59 mul 4 -1 roll 0.11 mul + add add add 1 min neg 1 add +}bdf +/setcmykcolor{1 exch sub ccmyk ccmyk ccmyk pop setrgbcolor}ndf +/maxcolor { + max max max +} ndf +/maxspot { + pop +} ndf +/setcmykcoloroverprint{4{dup -1 eq{pop 0}if 4 1 roll}repeat setcmykcolor}ndf +/findcmykcustomcolor{5 packedarray}ndf +/setcustomcolor{exch aload pop pop 4{4 index mul 4 1 roll}repeat setcmykcolor pop}ndf +/setseparationgray{setgray}ndf +/setoverprint{pop}ndf +/currentoverprint false ndf +/cmykbufs2gray{ + 0 1 2 index length 1 sub + { +4 index 1 index get 0.3 mul +4 index 2 index get 0.59 mul +4 index 3 index get 0.11 mul +4 index 4 index get +add add add cvi 255 min +255 exch sub +2 index 3 1 roll put + }for + 4 1 roll pop pop pop +}bdf +/colorimage{ + pop pop + [ +5 -1 roll/exec cvx +6 -1 roll/exec cvx +7 -1 roll/exec cvx +8 -1 roll/exec cvx +/cmykbufs2gray cvx + ]cvx + image +} +%. version 47.1 on Linotronic of Postscript defines colorimage incorrectly (rgb model only) +version cvr 47.1 le +statusdict /product get (Lino) anchorsearch{pop pop true}{pop false}ifelse +and{userdict begin bdf end}{ndf}ifelse +fhnumcolors 1 ne {/yt save def} if +/customcolorimage{ + aload pop + (_vc_Registration) eq + { +pop pop pop pop separationimage + } + { +/ik xdf /iy xdf /im xdf /ic xdf +ic im iy ik cmyk2gray /xt xdf +currenttransfer +{dup 1.0 exch sub xt mul add}concatprocs +st +image + } + ifelse +}ndf +fhnumcolors 1 ne {yt restore} if +fhnumcolors 3 ne {/yt save def} if +/customcolorimage{ + aload pop + (_vc_Registration) eq + { +pop pop pop pop separationimage + } + { +/ik xdf /iy xdf /im xdf /ic xdf +1.0 dup ic ik add min sub +1.0 dup im ik add min sub +1.0 dup iy ik add min sub +/ic xdf /iy xdf /im xdf +currentcolortransfer +4 1 roll +{dup 1.0 exch sub ic mul add}concatprocs 4 1 roll +{dup 1.0 exch sub iy mul add}concatprocs 4 1 roll +{dup 1.0 exch sub im mul add}concatprocs 4 1 roll +setcolortransfer +{/dummy xdf dummy}concatprocs{dummy}{dummy}true 3 colorimage + } + ifelse +}ndf +fhnumcolors 3 ne {yt restore} if +fhnumcolors 4 ne {/yt save def} if +/customcolorimage{ + aload pop + (_vc_Registration) eq + { +pop pop pop pop separationimage + } + { +/ik xdf /iy xdf /im xdf /ic xdf +currentcolortransfer +{1.0 exch sub ik mul ik sub 1 add}concatprocs 4 1 roll +{1.0 exch sub iy mul iy sub 1 add}concatprocs 4 1 roll +{1.0 exch sub im mul im sub 1 add}concatprocs 4 1 roll +{1.0 exch sub ic mul ic sub 1 add}concatprocs 4 1 roll +setcolortransfer +{/dummy xdf dummy}concatprocs{dummy}{dummy}{dummy} +true 4 colorimage + } + ifelse +}ndf +fhnumcolors 4 ne {yt restore} if +/separationimage{image}ndf +/newcmykcustomcolor{6 packedarray}ndf +/inkoverprint false ndf +/setinkoverprint{pop}ndf +/setspotcolor { + spots exch get + dup 4 get (_vc_Registration) eq + {pop 1 exch sub setseparationgray} + {0 5 getinterval exch setcustomcolor} + ifelse +}ndf +/currentcolortransfer{currenttransfer dup dup dup}ndf +/setcolortransfer{st pop pop pop}ndf +/fas{}ndf +/sas{}ndf +/fhsetspreadsize{pop}ndf +/filler{fill}bdf +/F{gsave {filler}fp grestore}bdf +/f{closepath F}bdf +/S{gsave {stroke}fp grestore}bdf +/s{closepath S}bdf +/bc4 [0 0 0 0] def +/_lfp4 { + /iosv inkoverprint def + /cosv currentoverprint def + /yt xdf + /xt xdf + /ang xdf + storerect + /taperfcn xdf + /k2 xdf /y2 xdf /m2 xdf /c2 xdf + /k1 xdf /y1 xdf /m1 xdf /c1 xdf + c1 c2 sub abs + m1 m2 sub abs + y1 y2 sub abs + k1 k2 sub abs + maxcolor + calcgraysteps mul abs round + height abs adjnumsteps + dup 2 lt {pop 1} if + 1 sub /numsteps1 xdf + currentflat mark + currentflat clipflatness + /delta top bottom sub numsteps1 1 add div def + /right right left sub def + /botsv top delta sub def + { +{ +W +xt yt translate +ang rotate +xt neg yt neg translate +dup setflat +/bottom botsv def +0 1 numsteps1 +{ +numsteps1 dup 0 eq {pop 0.5 } { div } ifelse +taperfcn /frac xdf +bc4 0 c2 c1 sub frac mul c1 add put +bc4 1 m2 m1 sub frac mul m1 add put +bc4 2 y2 y1 sub frac mul y1 add put +bc4 3 k2 k1 sub frac mul k1 add put +bc4 vc +1 index setflat +{ +mark {newpath left bottom right delta rectfill}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +/bottom bottom delta sub def +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/bcs [0 0] def +/_lfs4 { + /iosv inkoverprint def + /cosv currentoverprint def + /yt xdf + /xt xdf + /ang xdf + storerect + /taperfcn xdf + /tint2 xdf + /tint1 xdf + bcs exch 1 exch put + tint1 tint2 sub abs + bcs 1 get maxspot + calcgraysteps mul abs round + height abs adjnumsteps + dup 2 lt {pop 2} if + 1 sub /numsteps1 xdf + currentflat mark + currentflat clipflatness + /delta top bottom sub numsteps1 1 add div def + /right right left sub def + /botsv top delta sub def + { +{ +W +xt yt translate +ang rotate +xt neg yt neg translate +dup setflat +/bottom botsv def +0 1 numsteps1 +{ +numsteps1 div taperfcn /frac xdf +bcs 0 +1.0 tint2 tint1 sub frac mul tint1 add sub +put bcs vc +1 index setflat +{ +mark {newpath left bottom right delta rectfill}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +/bottom bottom delta sub def +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/_rfs4 { + /iosv inkoverprint def + /cosv currentoverprint def + /tint2 xdf + /tint1 xdf + bcs exch 1 exch put + /radius xdf + /yt xdf + /xt xdf + tint1 tint2 sub abs + bcs 1 get maxspot + calcgraysteps mul abs round + radius abs adjnumsteps + dup 2 lt {pop 2} if + 1 sub /numsteps1 xdf + radius numsteps1 div 2 div /halfstep xdf + currentflat mark + currentflat clipflatness + { +{ +dup setflat +W +0 1 numsteps1 +{ +dup /radindex xdf +numsteps1 div /frac xdf +bcs 0 +tint2 tint1 sub frac mul tint1 add +put bcs vc +1 index setflat +{ +newpath mark xt yt radius 1 frac sub mul halfstep add 0 360 +{ arc +radindex numsteps1 ne +{ +xt yt +radindex 1 add numsteps1 +div 1 exch sub +radius mul halfstep add +dup xt add yt moveto +360 0 arcn +} if +fill +}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/_rfp4 { + /iosv inkoverprint def + /cosv currentoverprint def + /k2 xdf /y2 xdf /m2 xdf /c2 xdf + /k1 xdf /y1 xdf /m1 xdf /c1 xdf + /radius xdf + /yt xdf + /xt xdf + c1 c2 sub abs + m1 m2 sub abs + y1 y2 sub abs + k1 k2 sub abs + maxcolor + calcgraysteps mul abs round + radius abs adjnumsteps + dup 2 lt {pop 1} if + 1 sub /numsteps1 xdf + radius numsteps1 dup 0 eq {pop} {div} ifelse + 2 div /halfstep xdf + currentflat mark + currentflat clipflatness + { +{ +dup setflat +W +0 1 numsteps1 +{ +dup /radindex xdf +numsteps1 dup 0 eq {pop 0.5 } { div } ifelse +/frac xdf +bc4 0 c2 c1 sub frac mul c1 add put +bc4 1 m2 m1 sub frac mul m1 add put +bc4 2 y2 y1 sub frac mul y1 add put +bc4 3 k2 k1 sub frac mul k1 add put +bc4 vc +1 index setflat +{ +newpath mark xt yt radius 1 frac sub mul halfstep add 0 360 +{ arc +radindex numsteps1 ne +{ +xt yt +radindex 1 add +numsteps1 dup 0 eq {pop} {div} ifelse +1 exch sub +radius mul halfstep add +dup xt add yt moveto +360 0 arcn +} if +fill +}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/lfp4{_lfp4}ndf +/lfs4{_lfs4}ndf +/rfs4{_rfs4}ndf +/rfp4{_rfp4}ndf +/cvc [0 0 0 1] def +/vc{ + AltsysDict /cvc 2 index put + aload length 4 eq + {setcmykcolor} + {setspotcolor} + ifelse +}bdf +/origmtx matrix currentmatrix def +/ImMatrix matrix currentmatrix def +0 setseparationgray +/imgr {1692 1570.1102 2287.2756 2412 } def +/bleed 0 def +/clpr {1692 1570.1102 2287.2756 2412 } def +/xs 1 def +/ys 1 def +/botx 0 def +/overlap 0 def +/wdist 18 def +0 2 mul fhsetspreadsize +0 0 ne {/df 0 def /clipflatness 0 def} if +/maxsteps 256 def +/forcemaxsteps false def +vms +-1845 -1956 translate +/currentpacking defed{false setpacking}if +/spots[ +1 0 0 0 (Process Cyan) false newcmykcustomcolor +0 1 0 0 (Process Magenta) false newcmykcustomcolor +0 0 1 0 (Process Yellow) false newcmykcustomcolor +0 0 0 1 (Process Black) false newcmykcustomcolor +]def +/textopf false def +/curtextmtx{}def +/otw .25 def +/msf{dup/curtextmtx xdf makefont setfont}bdf +/makesetfont/msf load def +/curtextheight{.707104 .707104 curtextmtx dtransform + dup mul exch dup mul add sqrt}bdf +/ta2{ +tempstr 2 index gsave exec grestore +cwidth cheight rmoveto +4 index eq{5 index 5 index rmoveto}if +2 index 2 index rmoveto +}bdf +/ta{exch systemdict/cshow known +{{/cheight xdf/cwidth xdf tempstr 0 2 index put ta2}exch cshow} +{{tempstr 0 2 index put tempstr stringwidth/cheight xdf/cwidth xdf ta2}forall} +ifelse 6{pop}repeat}bdf +/sts{/textopf currentoverprint def vc setoverprint +/ts{awidthshow}def exec textopf setoverprint}bdf +/stol{/xt currentlinewidth def + setlinewidth vc newpath + /ts{{false charpath stroke}ta}def exec + xt setlinewidth}bdf + +/strk{/textopf currentoverprint def vc setoverprint + /ts{{false charpath stroke}ta}def exec + textopf setoverprint + }bdf +n +[] 0 d +3.863708 M +1 w +0 j +0 J +false setoverprint +0 i +false eomode +[0 0 0 1] vc +vms +%white border -- disabled +%1845.2293 2127.8588 m +%2045.9437 2127.8588 L +%2045.9437 1956.1412 L +%1845.2293 1956.1412 L +%1845.2293 2127.8588 L +%0.1417 w +%2 J +%2 M +%[0 0 0 0] vc +%s +n +1950.8 2097.2 m +1958.8 2092.5 1967.3 2089 1975.5 2084.9 C +1976.7 2083.5 1976.1 2081.5 1976.7 2079.9 C +1979.6 2081.1 1981.6 2086.8 1985.3 2084 C +1993.4 2079.3 2001.8 2075.8 2010 2071.7 C +2010.5 2071.5 2010.5 2071.1 2010.8 2070.8 C +2011.2 2064.3 2010.9 2057.5 2011 2050.8 C +2015.8 2046.9 2022.2 2046.2 2026.6 2041.7 C +2026.5 2032.5 2026.8 2022.9 2026.4 2014.1 C +2020.4 2008.3 2015 2002.4 2008.8 1997.1 C +2003.8 1996.8 2000.7 2001.2 1996.1 2002.1 C +1995.2 1996.4 1996.9 1990.5 1995.6 1984.8 C +1989.9 1979 1984.5 1973.9 1978.8 1967.8 C +1977.7 1968.6 1976 1967.6 1974.5 1968.3 C +1967.4 1972.5 1960.1 1976.1 1952.7 1979.3 C +1946.8 1976.3 1943.4 1970.7 1938.5 1966.1 C +1933.9 1966.5 1929.4 1968.8 1925.1 1970.7 C +1917.2 1978.2 1906 1977.9 1897.2 1983.4 C +1893.2 1985.6 1889.4 1988.6 1885 1990.1 C +1884.6 1990.6 1883.9 1991 1883.8 1991.6 C +1883.7 2000.4 1884 2009.9 1883.6 2018.9 C +1887.7 2024 1893.2 2028.8 1898 2033.8 C +1899.1 2035.5 1900.9 2036.8 1902.5 2037.9 C +1903.9 2037.3 1905.2 2036.6 1906.4 2035.5 C +1906.3 2039.7 1906.5 2044.6 1906.1 2048.9 C +1906.3 2049.6 1906.7 2050.2 1907.1 2050.8 C +1913.4 2056 1918.5 2062.7 1924.8 2068.1 C +1926.6 2067.9 1928 2066.9 1929.4 2066 C +1930.2 2071 1927.7 2077.1 1930.6 2081.6 C +1936.6 2086.9 1941.5 2092.9 1947.9 2097.9 C +1949 2098.1 1949.9 2097.5 1950.8 2097.2 C +[0 0 0 0.18] vc +f +0.4 w +S +n +1975.2 2084.7 m +1976.6 2083.4 1975.7 2081.1 1976 2079.4 C +1979.3 2079.5 1980.9 2086.2 1984.8 2084 C +1992.9 2078.9 2001.7 2075.6 2010 2071.2 C +2011 2064.6 2010.2 2057.3 2010.8 2050.6 C +2015.4 2046.9 2021.1 2045.9 2025.9 2042.4 C +2026.5 2033.2 2026.8 2022.9 2025.6 2013.9 C +2020.5 2008.1 2014.5 2003.1 2009.3 1997.6 C +2004.1 1996.7 2000.7 2001.6 1995.9 2002.6 C +1995.2 1996.7 1996.3 1990.2 1994.9 1984.6 C +1989.8 1978.7 1983.6 1973.7 1978.4 1968 C +1977.3 1969.3 1976 1967.6 1974.8 1968.5 C +1967.7 1972.7 1960.4 1976.3 1952.9 1979.6 C +1946.5 1976.9 1943.1 1970.5 1937.8 1966.1 C +1928.3 1968.2 1920.6 1974.8 1911.6 1978.4 C +1901.9 1979.7 1893.9 1986.6 1885 1990.6 C +1884.3 1991 1884.3 1991.7 1884 1992.3 C +1884.5 2001 1884.2 2011 1884.3 2019.9 C +1890.9 2025.3 1895.9 2031.9 1902.3 2037.4 C +1904.2 2037.9 1905.6 2034.2 1906.8 2035.7 C +1907.4 2040.9 1905.7 2046.1 1907.3 2050.8 C +1913.6 2056.2 1919.2 2062.6 1925.1 2067.9 C +1926.9 2067.8 1928 2066.3 1929.6 2065.7 C +1929.9 2070.5 1929.2 2076 1930.1 2080.8 C +1936.5 2086.1 1941.6 2092.8 1948.4 2097.6 C +1957.3 2093.3 1966.2 2088.8 1975.2 2084.7 C +[0 0 0 0] vc +f +S +n +1954.8 2093.8 m +1961.6 2090.5 1968.2 2087 1975 2084 C +1975 2082.8 1975.6 2080.9 1974.8 2080.6 C +1974.3 2075.2 1974.6 2069.6 1974.5 2064 C +1977.5 2059.7 1984.5 2060 1988.9 2056.4 C +1989.5 2055.5 1990.5 2055.3 1990.8 2054.4 C +1991.1 2045.7 1991.4 2036.1 1990.6 2027.8 C +1990.7 2026.6 1992 2027.3 1992.8 2027.1 C +1997 2032.4 2002.6 2037.8 2007.6 2042.2 C +2008.7 2042.3 2007.8 2040.6 2007.4 2040 C +2002.3 2035.6 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2049.6 C +1931.4 2050.5 1930.3 2050.4 1930.4 2051.3 C +1931.1 2051.1 1930.7 2049.4 1932 2049.9 C +f +S +n +1938.3 2046 m +1936.3 2046.8 1935.2 2047.2 1934.2 2048.9 C +1935.3 2047.7 1936.8 2046.2 1938.3 2046 C +[0.4 0.4 0 0] vc +f +S +n +vmrs +1938.3 2047 m +1937.9 2046.9 1936.6 2047.1 1936.1 2048 C +1936.5 2047.5 1937.3 2046.7 1938.3 2047 C +[0.18 0.18 0 0.78] vc +f +0.4 w +2 J +2 M +S +n +1910.2 2043.2 m +1910.1 2037.5 1910 2031.8 1910 2026.1 C +1910 2031.8 1910.1 2037.5 1910.2 2043.2 C +f +S +n +1933.5 2032.1 m +1933.7 2035.2 1932.8 2035.8 1933.7 2038.6 C +1933.3 2036.6 1934.6 2018 1933.5 2032.1 C +f +S +n +1907.3 2021.8 m +1906.6 2025.9 1909.4 2032.6 1903.2 2034 C +1902.8 2034.1 1902.4 2033.9 1902 2033.8 C +1897.9 2028.5 1891.6 2023.8 1887.4 2018.7 C +1887.4 2017.7 1887.4 2016.6 1887.4 2015.6 C +1887 2016.3 1887.2 2017.8 1887.2 2018.9 C +1892.3 2024.4 1897.5 2028.5 1902.5 2034.3 C +1904.3 2033.6 1905.7 2032 1907.3 2030.9 C +1907.3 2027.9 1907.3 2024.9 1907.3 2021.8 C +f +S +n 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1973.3 C +1928 1973.8 1927 1974.3 1926 1974.8 C +[0.65 0.65 0 0.42] vc +f +0.4 w +2 J +2 M +S +n +1929.4 1973.1 m +1931.9 1972 1931.9 1972 1929.4 1973.1 C +f +S +n +1932.8 1971.4 m +1935.3 1970 1935.3 1970 1932.8 1971.4 C +f +S +n +1949.6 2097.2 m +1951.1 2096.4 1952.6 2095.5 1954.1 2094.8 C +1952.6 2095.5 1951.1 2096.4 1949.6 2097.2 C +[0.07 0.06 0 0.58] vc +f +S +n +1955.1 2094.3 m +1956.7 2093.5 1958.3 2092.7 1959.9 2091.9 C +1958.3 2092.7 1956.7 2093.5 1955.1 2094.3 C +f +S +n +1960.4 2091.6 m +1961.3 2091.2 1962.1 2090.9 1963 2090.4 C +1962.1 2090.9 1961.3 2091.2 1960.4 2091.6 C +f +S +n +1963.5 2090.2 m +1964.4 2089.7 1965.2 2089.2 1966.1 2088.8 C +1965.2 2089.2 1964.4 2089.7 1963.5 2090.2 C +f +S +n +1966.6 2088.5 m +1969.5 2087.1 1972.4 2085.8 1975.2 2084.4 C +1972.4 2085.8 1969.5 2087.1 1966.6 2088.5 C +f +S +n +1965.2 2086.1 m +1965.9 2085.7 1966.8 2085.3 1967.6 2084.9 C +1966.8 2085.3 1965.9 2085.7 1965.2 2086.1 C +f +S +n +1968.3 2084.7 m +1969.2 2084.3 1970 2083.9 1970.9 2083.5 C +1970 2083.9 1969.2 2084.3 1968.3 2084.7 C +f +S +n +vmrs +1984.1 2084 m +1985.6 2083.2 1987.2 2082.3 1988.7 2081.6 C +1987.2 2082.3 1985.6 2083.2 1984.1 2084 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1976 2078.7 m +1978.1 2080.1 1980 2082 1982 2083.7 C +1980 2081.9 1977.9 2080.3 1976 2078.2 C +1975.5 2079.9 1975.8 2081.9 1975.7 2083.7 C +1975.8 2082 1975.5 2080.2 1976 2078.7 C +f +S +n +1989.6 2081.1 m +1991.3 2080.3 1992.8 2079.5 1994.4 2078.7 C +1992.8 2079.5 1991.3 2080.3 1989.6 2081.1 C +f +S +n +1933.2 2074.6 m +1932.4 2076.2 1932.8 2077.5 1933 2078.7 C +1933 2077.6 1932.9 2074.8 1933.2 2074.6 C +f +S +n +1994.9 2078.4 m +1995.8 2078 1996.7 2077.7 1997.6 2077.2 C +1996.7 2077.7 1995.8 2078 1994.9 2078.4 C +f +S +n +1998 2077 m +1998.9 2076.5 1999.8 2076 2000.7 2075.6 C +1999.8 2076 1998.9 2076.5 1998 2077 C +f +S +n +2001.2 2075.3 m +2004 2073.9 2006.9 2072.6 2009.8 2071.2 C +2006.9 2072.6 2004 2073.9 2001.2 2075.3 C +f +S +n +1980.5 2060.7 m +1979.9 2060.7 1976.7 2062.8 1975.7 2064.5 C +1975.7 2067.5 1975.7 2070.5 1975.7 2073.4 C +1976.3 2068.7 1973.9 2061.6 1980.5 2060.7 C +f +S +n +1999.7 2072.9 m +2000.5 2072.5 2001.3 2072.1 2002.1 2071.7 C +2001.3 2072.1 2000.5 2072.5 1999.7 2072.9 C +f +S +n +2002.8 2071.5 m +2003.7 2071.1 2004.6 2070.7 2005.5 2070.3 C +2004.6 2070.7 2003.7 2071.1 2002.8 2071.5 C +f +S +n +vmrs +2015.1 2047.5 m +2014.4 2047.5 2011.2 2049.6 2010.3 2051.3 C +2010.3 2057.7 2010.3 2064.1 2010.3 2070.5 C +2010.3 2063.9 2010.1 2057.1 2010.5 2050.6 C +2012 2049.3 2013.5 2048.3 2015.1 2047.5 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1910.4 2049.2 m +1914.8 2054.3 1920.7 2058.9 1925.1 2064 C +1920.4 2058.6 1915.1 2054.6 1910.4 2049.2 C +f +S +n +1988.2 2057.3 m +1989.1 2056.8 1989.9 2056.2 1990.8 2055.6 C +1989.9 2056.2 1989.1 2056.8 1988.2 2057.3 C +f +S +n +1991.6 2051.3 m +1991.6 2046.3 1991.6 2041.2 1991.6 2036.2 C +1991.6 2041.2 1991.6 2046.3 1991.6 2051.3 C +f +S +n +1935.6 2047.5 m +1932.9 2051.7 1939.7 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1892.3 2024.1 1887.6 2018.7 C +f +S +n +1999.7 2031.4 m +1998.7 2030.3 1997.6 2029.2 1996.6 2028 C +1997.6 2029.2 1998.7 2030.3 1999.7 2031.4 C +f +S +n +1912.8 2017 m +1910.6 2021.1 1913.6 2015.3 1914.5 2016 C +1914 2016.3 1913.4 2016.7 1912.8 2017 C +f +S +n +1939.5 2005 m +1936.7 2009.2 1943.6 2001.3 1939.5 2005 C +f +S +n +1942.6 2001.4 m +1941.9 2000.8 1942 2001.2 1941.2 2000.9 C +1942.5 2000.6 1942.1 2002.4 1942.8 2002.8 C +1942 2002.8 1942.5 2004.1 1941.6 2004 C +1943 2003.7 1942.9 2002.1 1942.6 2001.4 C +f +S +n +2006.2 2000.7 m +2005.4 2001.5 2004 2002.8 2004 2002.8 C +2004.5 2002.4 2005.5 2001.4 2006.2 2000.7 C +f +S +n +1998.5 2001.6 m +1997.7 2002 1996.8 2002.4 1995.9 2002.6 C +1995.5 1999.3 1995.7 1995.7 1995.6 1992.3 C +1995.6 1995.7 1995.6 1999.2 1995.6 2002.6 C +1996.6 2002.4 1997.7 2002.2 1998.5 2001.6 C +[0.4 0.4 0 0] vc +f +S +n +1996.1 2002.8 m +1995.9 2002.8 1995.8 2002.8 1995.6 2002.8 C +1995.2 1999.5 1995.5 1995.9 1995.4 1992.5 C +1995.4 1995.9 1995.4 1999.4 1995.4 2002.8 C +1996.4 2003.1 1998.2 2001.6 1996.1 2002.8 C +[0.07 0.06 0 0.58] vc +f +S +n +1969 2002.1 m +1968 2001 1966.9 1999.9 1965.9 1998.8 C +1966.9 1999.9 1968 2001 1969 2002.1 C +f +S +n +vmrs +2000 2001.2 m +2002.1 2000 2004.1 1998.9 2006.2 1997.8 C +2004.1 1998.9 2002.1 2000 2000 2001.2 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1895.8 1984.8 m +1898.3 1983.6 1900.8 1982.3 1903.2 1981 C +1900.8 1982.3 1898.3 1983.6 1895.8 1984.8 C +f +S +n +1905.2 1980.3 m +1906.4 1979.9 1907.6 1979.5 1908.8 1979.1 C +1907.6 1979.5 1906.4 1979.9 1905.2 1980.3 C +f +S +n +1964.7 1977.4 m +1963.8 1977.5 1962.5 1980.2 1960.8 1980 C +1962.5 1980.2 1963.3 1978 1964.7 1977.4 C +f +S +n +1952 1979.6 m +1955.2 1979.2 1955.2 1979.2 1952 1979.6 C +f +S +n +1937.8 1966.4 m +1941.2 1969.5 1946.1 1976.4 1951.5 1979.3 C +1946.1 1976.7 1942.8 1970.4 1937.8 1966.4 C +f +S +n +1911.9 1978.6 m +1914.3 1977.4 1916.7 1976.2 1919.1 1975 C +1916.7 1976.2 1914.3 1977.4 1911.9 1978.6 C +f +S +n +1975.5 1971.4 m +1974.6 1972.2 1973.3 1973.6 1973.3 1973.6 C +1973.7 1973.1 1974.8 1972.1 1975.5 1971.4 C +f +S +n +1922.4 1972.8 m +1924.9 1971.6 1927.4 1970.3 1929.9 1969 C +1927.4 1970.3 1924.9 1971.6 1922.4 1972.8 C +f +S +n +1969.2 1971.9 m +1971.1 1970.9 1972.9 1969.8 1974.8 1968.8 C +1972.9 1969.8 1971.1 1970.9 1969.2 1971.9 C +f +S +n +vmrs +1931.8 1968.3 m +1933 1967.9 1934.2 1967.5 1935.4 1967.1 C +1934.2 1967.5 1933 1967.9 1931.8 1968.3 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1940.7 2072.4 m +1941.5 2072.4 1942.3 2072.3 1943.1 2072.2 C +1942.3 2072.3 1941.5 2072.4 1940.7 2072.4 C +[0 0 0 0.18] vc +f +S +n +1948.6 2069.3 m +1947 2069.5 1945.7 2068.9 1944.8 2069.8 C +1945.9 2068.5 1948.4 2070.2 1948.6 2069.3 C +f +S +n +1954.6 2066.4 m +1954.7 2067.9 1955.6 2067.3 1955.6 2068.8 C +1955.4 2067.8 1956 2066.6 1954.6 2066.4 C +f +S +n +1929.2 2061.2 m +1927.8 2062.1 1926.3 2064.1 1924.8 2063.3 C +1926.3 2064.6 1928 2062 1929.2 2061.2 C +f +S +n +1924.4 2067.4 m +1918.5 2061.6 1912.7 2055.9 1906.8 2050.1 C +1912.7 2055.9 1918.5 2061.6 1924.4 2067.4 C +[0.4 0.4 0 0] vc +f +S +n +1924.6 2062.8 m +1923.9 2062.1 1923.2 2061.2 1922.4 2060.4 C +1923.2 2061.2 1923.9 2062.1 1924.6 2062.8 C +[0 0 0 0.18] vc +f +S +n +1919.3 2057.3 m +1917.5 2055.6 1915.7 2053.8 1913.8 2052 C +1915.7 2053.8 1917.5 2055.6 1919.3 2057.3 C +f +S +n +1929.2 2055.2 m +1929.2 2054.2 1929.2 2053.2 1929.2 2052.3 C +1929.2 2053.2 1929.2 2054.2 1929.2 2055.2 C +f +S +n +1926.3 2049.6 m +1925.4 2049 1925.4 2050.5 1924.4 2050.4 C +1925.3 2051.3 1924.5 2051.9 1925.6 2052.5 C +1926.9 2052.6 1926 2050.6 1926.3 2049.6 C +f +S +n +vmrs +1911.2 2046.8 m +1910.1 2048.9 1911.9 2050.1 1913.1 2051.3 C +1912.1 2049.9 1910.6 2048.8 1911.2 2046.8 C +[0 0 0 0.18] vc +f +0.4 w +2 J +2 M +S +n +1934 2048.7 m +1932.6 2048.7 1930.1 2047.7 1929.6 2049.4 C +1930.9 2048.6 1933.3 2049 1934 2048.7 C +f +S +n +1980 2048.4 m +1979.5 2046.8 1976.3 2047.9 1977.2 2045.6 C +1976.8 2045.1 1976.1 2044.7 1975.2 2044.8 C +1973.7 2046 1976.3 2046.4 1976.7 2047.5 C +1977.8 2047.2 1978.2 2050 1979.6 2049.2 C +1980 2049 1979.6 2048.6 1980 2048.4 C +f +S +n +1938.3 2045.6 m +1938.2 2044.4 1936.8 2043.8 1935.9 2043.4 C +1936.4 2044.4 1939.1 2044.3 1937.6 2045.8 C +1937 2046.1 1935.9 2046.1 1935.9 2046.8 C +1936.7 2046.3 1937.8 2046.2 1938.3 2045.6 C +f +S +n +1932.5 2040 m +1932.8 2038.1 1932 2038.9 1932.3 2040.3 C +1933.1 2040.3 1932.7 2041.7 1933.7 2041.5 C +1933.1 2041 1932.9 2040.5 1932.5 2040 C +f +S +n +2014.6 2035.2 m +2014.1 2033.6 2010.9 2034.7 2011.7 2032.4 C +2011.3 2031.9 2009.4 2030.7 2009.3 2032.1 C +2009.5 2033.7 2012.9 2033.8 2012.4 2035.7 C +2013 2036.4 2014.2 2036.5 2014.6 2035.2 C +f +S +n +1906.4 2030.7 m +1905 2031.6 1903.5 2033.6 1902 2032.8 C +1903.4 2034 1905.6 2031.4 1906.4 2030.7 C +f +S +n +1901.8 2037.2 m +1899.5 2034.8 1897.2 2032.5 1894.8 2030.2 C +1897.2 2032.5 1899.5 2034.8 1901.8 2037.2 C +[0.4 0.4 0 0] vc +f +S +n +1901.8 2032.4 m +1901.1 2031.6 1900.4 2030.7 1899.6 2030 C +1900.4 2030.7 1901.1 2031.6 1901.8 2032.4 C +[0 0 0 0.18] vc +f +S +n +1944.5 2030 m +1945.3 2029.9 1946.1 2029.8 1946.9 2029.7 C +1946.1 2029.8 1945.3 2029.9 1944.5 2030 C +f +S +n +vmrs +1997.8 2027.8 m +1997.7 2027.9 1997.6 2028.1 1997.3 2028 C +1997.4 2029.1 1998.5 2029.5 1999.2 2030 C +2000.1 2029.5 1998.9 2028 1997.8 2027.8 C +[0 0 0 0.18] vc +f +0.4 w +2 J +2 M +S +n +1906.4 2029.2 m +1906.4 2026.6 1906.4 2024 1906.4 2021.3 C +1906.4 2024 1906.4 2026.6 1906.4 2029.2 C +f +S +n +2006.2 2025.9 m +2006 2025.9 2005.8 2025.8 2005.7 2025.6 C +2005.7 2025.5 2005.7 2025.3 2005.7 2025.2 C +2004.6 2025.8 2002.7 2024.7 2001.9 2026.1 C +2001.9 2027.9 2007.8 2029.2 2006.2 2025.9 C +[0 0 0 0] vc +f +S +n +1952.4 2026.8 m +1950.9 2027 1949.6 2026.4 1948.6 2027.3 C +1949.7 2026.1 1952.2 2027.7 1952.4 2026.8 C +[0 0 0 0.18] vc +f +S +n +1896.5 2026.8 m +1894.7 2025.1 1892.9 2023.3 1891 2021.6 C +1892.9 2023.3 1894.7 2025.1 1896.5 2026.8 C +f +S +n +1958.4 2024 m +1958.5 2025.5 1959.4 2024.8 1959.4 2026.4 C +1959.3 2025.3 1959.8 2024.1 1958.4 2024 C +f +S +n +1903.5 2019.2 m +1902.6 2018.6 1902.6 2020 1901.6 2019.9 C +1902.5 2020.8 1901.7 2021.4 1902.8 2022 C +1904.1 2022.2 1903.2 2020.1 1903.5 2019.2 C +f +S +n +1933 2018.7 m +1931.7 2019.6 1930.1 2021.6 1928.7 2020.8 C +1930.1 2022.1 1931.8 2019.5 1933 2018.7 C +f +S +n +1888.4 2016.3 m +1887.3 2018.4 1889.1 2019.6 1890.3 2020.8 C +1889.3 2019.5 1887.8 2018.3 1888.4 2016.3 C +f +S +n +1928.4 2020.4 m +1927.7 2019.6 1927 2018.7 1926.3 2018 C +1927 2018.7 1927.7 2019.6 1928.4 2020.4 C +f +S +n +vmrs +1911.2 2018.2 m +1909.8 2018.3 1907.3 2017.2 1906.8 2018.9 C +1908.1 2018.1 1910.5 2018.6 1911.2 2018.2 C +[0 0 0 0.18] vc +f +0.4 w +2 J +2 M +S +n +1915.5 2015.1 m +1915.4 2013.9 1914 2013.3 1913.1 2012.9 C +1913.6 2013.9 1916.3 2013.8 1914.8 2015.3 C +1914.2 2015.6 1913.1 2015.6 1913.1 2016.3 C +1913.9 2015.9 1915 2015.7 1915.5 2015.1 C +f +S +n +1923.2 2014.8 m +1921.3 2013.1 1919.5 2011.3 1917.6 2009.6 C +1919.5 2011.3 1921.3 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Group + + + + +
+ + + + + + +
+ +

+This page moved to King's College London. You will be automatically forwarded to my new +homepage. +

+
+ +

+

+ +Last modified: Mon Oct 31 00:52:05 GMT 2011 + + + \ No newline at end of file diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/idp/menu.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/idp/menu.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,113 @@ + + + + + Menu + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+Download
+Latest Draft


+People Who Contributed So Far
Christian Urban
Stefan Berghofer
Jasmin Blanchette
Sascha Böhme
Jeremy Dawson
Armin Heller
Alexander Krauss
Tobias Nipkow
Michael Norrish
Christian Sternagel
+Feedback
What early readers said
+Workshops
First Isabelle Developers Workshop
Second Isabelle Developers Workshop
+ + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/idp/new.gif Binary file Nominal/activities/idp/new.gif has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/idp/snippets/silence.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/idp/snippets/silence.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,64 @@ + + + +Snippets + + + + +

How to silence the output produced by other tools?

+ + +Jasmin Blanchette wrote: When writing Nitpick, I found the need to silence +the other tools upon which Nitpick relies, because their output interfered +in bad ways with Nitpick's own output. So I used code like the following: + +
(* (string -> unit) ref -> ('a -> 'b) -> 'a -> 'b *) +fun silence_one out_fn f x = +let + val old_out_fn = !out_fn + val _ = out_fn := K () + val y = f x + val _ = out_fn := old_out_fn +in y end + +(* ('a -> 'b) -> 'a -> 'b *) +fun silence f = + fold silence_one + [Output.writeln_fn, Output.priority_fn, Output.tracing_fn, + Output.warning_fn, Output.error_fn, Output.debug_fn, + Output.prompt_fn, Output.status_fn] f +
+ +
+ + +Last modified: Thu May 21 21:43:15 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/idp/title.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/idp/title.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,27 @@ + + + + + The Nominal Datatype Package + + + + + +Isabelle Documentation Project +

Isabelle Documentation Project

+

+funded by the German Research Foundation (DFG) +

+ + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/idp/x.log --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/idp/x.log Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,28 @@ +This is XeTeX, Version 3.14159265-2.6-0.99991 (TeX Live 2014) (preloaded format=xelatex 2014.7.26) 20 OCT 2014 00:38 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**slides05.tex +(/usr/local/texlive/2014/texmf-dist/tex/latex/tools/x.tex +LaTeX2e <2014/05/01> +Babel <3.9k> and hyphenation patterns for 79 languages loaded. + +! . +l.33 \batchmode \errmessage{} + \csname @@end\endcsname \end +This error message was generated by an \errmessage +command, so I can't give any explicit help. +Pretend that you're Hercule Poirot: Examine all clues, +and deduce the truth by order and method. + + ) +Here is how much of TeX's memory you used: + 6 strings out of 493725 + 177 string characters out of 6145912 + 53033 words of memory out of 5000000 + 3431 multiletter control sequences out of 15000+600000 + 3640 words of font info for 14 fonts, out of 8000000 for 9000 + 1328 hyphenation exceptions out of 8191 + 5i,0n,1p,92b,8s stack positions out of 5000i,500n,10000p,200000b,80000s + +No pages of output. diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/idw10/idw.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/idw10/idw.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,239 @@ + + + +Isabelle Developers Workshop 2010 + + + + + + + + + + + + + + +
+ +

+ +Lab +
+Computer Laboratory in Cambridge
+

+ +

+ +King's College +
+King's College, Cambridge
+

+ + +		 + + + + +

Isabelle Developers Workshop

+

17 and 18 June in Cambridge, UK

+
+ + +

Programme

+ +The Isabelle Developers Workshop will be held in Cambridge this year. +Like the last one +in Munich, the workshop is very much meant to be an informal meeting +where developers can talk to developers. It is also a place where you +can learn about Isabelle programming and the latest developments around +Isabelle. We like to reach out to new people to help them to become +part of the Isabelle developer community. + +

+There is no registration fee for this workshop. +If you want to participate, please let me know as soon as possible +(email: urbanc at in tum de). + +

Venue

+ +The workshop will take place in the Computer +Laboratory in Cambridge (location). The room is FW11 on the first floor inside the "public" part of the Computer Laboratory. There will be signs leading the way. + +

Wifi

+ +There is free wifi in the Computer Lab. The network name is wgb. + +

Material

+ +We will hand out some files during the workshop. The release candidate +of Isabelle is available here. +Although incomplete, you might find the Isabelle Programming Tutorial +(draft) helpful. + +

Organisers

+ + + + + + + +
Larry PaulsonUniversity of Cambridge, UK
Christian UrbanTU Munich, Germany
+ +

Confirmed Participants

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Stefan BerghoferTU Munich, Germany
Jasmin BlanchetteTU Munich, Germany
Achim BruckerSAP, Germany
Abdou FeliachiUniv. Paris Sud, France
Holger GastUniversity of Tübingen, Germany
Bogdan GrechukUniversity of Edinburgh, UK
Gudmund GrovUniversity of Edinburgh, UK
Cezary KaliszykTU Munich, Germany
Matthias KriegerLRI / Univ. Paris Sud, France
Andreas LochbihlerKIT Karlsruhe, Germany
Magnus MyreenUniversity of Cambridge, UK
Walther NeuperTU Graz, Austria
Omar Montano RivasUniversity of Edinburgh, UK
Jaroslav SevcikUniversity of Cambridge, UK
Thomas SewellNICTA, Australia
Christian SternagelUniversity of Innsbruck, Austria
Nik SultanaUniversity of Cambridge, UK
Rene ThiemannUniversity of Innsbruck, Austria
Matej UrbasUniversity of Cambridge, UK
Viktor VafeiadisUniversity of Cambridge, UK
Tjark WeberUniversity of Cambridge, UK
Makarius WenzelLRI / Univ. Paris Sud, France
Burkhart WolffLRI / Univ. Paris Sud, France
+ + +

Schedule

+ +
Wednesday, June 16
+ +For anybody who is present, we will meet at 5 o'clock in the +afternoon in the Eagle Pub +(8 Benet St, Cambridge CB2 3QN; location). +This pub is in a side street not far from King's College. + + +
Thursday, June 17
+ +
    +
  • 9:30 - 10:30 Isabelle Programming Introduction I (Makarius Wenzel / Christian Urban) +[T01_Intro.thy] +
  • 11:00 - 12:00 Isabelle Programming Introduction II (Jasmin Blanchette / Christian Urban) +[T02_Intro.thy] +
  • 14:00 - 15:00 Tactics and Conversions (Christian Urban / Stefan Berghofer) +[T03_Tactics.thy] +
  • 15:30 - 16:30 Contexts and Local Theories (Makarius Wenzel) +[T04_Contexts.thy] +
  • 17:00 - 18:00 Contributed Talks: +I3P for Developers: How to Represent Your Tool in the UI (Holger Gast) +[slides], +HOL-Boogie - An Interactive Verification Backend for VCC (Burkhart Wolff), +[slides1, +slides2] +
+ +
Friday, June 18
+ +
    +
  • 9:30 - 10:30 Parsing and Methods (Stefan Berghofer) +[T05_Methods.thy] +
  • 11:00 - 12:00 ML and Scala (Makarius Wenzel) +[T06_System.thy] +
  • 14:00 - 15:00 Isabelle and LaTeX (Christian Urban) +[T07_Latex.thy, T07_Latex.tex, slides] +
  • 15:30 - 16:30 Contributed Talks: Monad Syntax (Christian Sternagel) +[Monad_Syntax.thy, HG repository, slides], +Encoding Object-oriented Datatypes in HOL: Extensible Records Revisited +(Achim Brucker) +
  • 17:00 - 17:30 Contributed Talk: HOL-TestGen - A Testcase Generation Environment +(Burkhart Wolff) [slides] +
+ +If there is interest, Nik Sultana will show after the workshop the highlights of Cambridge +in a tourist tour. + +

Accommodation, Travelling etc

+ +Some information about accommodation in Cambridge is +available here. There are two convenient options +for travelling to Cambridge from continental Europe: one is by Eurostar and train from London; +the other is via plane to London Stansted and by train or bus from there. +
+ +
+ +Last modified: Wed Jul 21 11:46:56 CEST 2010 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/index.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/index.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,120 @@ + + + + + One-day Workshop at POPL 2011 + + + + +

One-Day Tutorial at POPL 2011

+ +

+

+ +

Introduction to Nominal Isabelle

+

+ +
+ + + +
+

Time and Location: + 23rd January at POPL 2011 in + Austin, USA. +

+ +

+ Lambda.thy
+ Tutorial1.thy
+ Tutorial2.thy
+ Tutorial3.thy
+ Tutorial4.thy
+ Tutorial5.thy
+ Tutorial6.thy
+
+ +

Overview:
+ Dealing with binders, renaming of bound variables, capture-avoiding + substitution, etc., is very often a major problem in formal proofs + from the lambda-calculus and programming language theory. + Nominal + Isabelle provides an infrastructure for reasoning conveniently about + bound variables and alpha-equivalence classes in the proof assistant + Isabelle. + The aim of this tutorial is to give participants a reading + knowledge of nominal techniques and allow them to start using + Nominal Isabelle in their own work. +

+ Programme:
+ The tutorial will be organised around four sessions: +
    +
  • 08:00 - 09:00 Help with the installation. If at all possible, already have + Nominal Isabelle installed! See below for instructions.
    +
  • 09:00 - 10:30 Session I +
    • +
  • 11:00 - 12:30 Session II +
    • +
  • 12:30 - 14:00 Lunch (in hotel) +
    • +
  • 14:00 - 15:30 Session III +
  • 16:00 - 17:30 Session IV +
+ + Download and Installation:
+ For the tutorial, you need to install one of the following bundles: + + + For Linux and MacOSX, just unpack them and start Isabelle by typing on the command line: + +
    +
  • Linux:
    + nominal_isabelle_20-Jan-2011/bin/isabelle jedit -l HOL-Nominal2 Minimal.thy
    • +
  • MacOSX:
    + nominal_isabelle_20-Jan-2011.app/Isabelle/bin/isabelle jedit -l HOL-Nominal2 Minimal.thy
    • +
+ + Windows needs a bit more work explained here. Once done, start Isabelle with + +
    +
  • Windows:
    + nominal_isabelle_20-Jan-2011/bin/isabelle jedit -l HOL-Nominal2 Minimal.thy
    • +
+ + A testfile is Minimal.thy. + Further installation instructions and minimal requirements are here. You are done, if you see a window like + +

+ screen

+ + +

Target audience:
+ Researchers and doctoral students who want to use Nominal Isabelle to + formalise proofs from the lambda-calculus, from programming language theory or + from proof theory, + such as type soundness, Church Rosser, strong normalisation and so on. The tutorial is + designed for people who have not necessarily used Isabelle or Nominal Isabelle + before, nor have used any other proof assistant. +




+ +
+
+ +
+ + +Last modified: Sun Jan 23 14:09:03 CET 2011 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/jar09/cfp.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/jar09/cfp.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,97 @@ + + + +JAR Special Issue on Binding, Substitution and Naming + + + + + + + + + + + + +
+ +Links
+Nominal Methods Group
+New deadline: November 16, 2009. +


+ + + + + + + +		 +

Journal of Automated Reasoning

+ +

Special issue on Binding, Substitution and Naming

+ +Mathematical treatments of concrete syntax have always been a central +concern in symbolic computation, programming language implementation +and computer-aided reasoning. Theories of abstract syntax have proved +harder to find, especially those addressing properties related to +substituting structures for variables, binding of names and fresh +name generation. This special issue is devoted to papers describing +recent advances in this area. Submissions are encouraged, but not +limited to, the following topics: + +
    +
  • logic-based, categorical or set-based theories of names and binding +
  • new formalisation techniques for languages involving binders +
  • applications in programming languages that support binding +
  • mechanised meta-theory of calculi involving binding and fresh + name generation +
  • logical frameworks, meta-languages and tools that aid reasoning + about substitution and binding +
  • unification for languages involving binders +
+ +Manuscripts should be unpublished works and not submitted +elsewhere. Revised and enhanced versions of papers published in +conference proceedings that have not appeared in archival journals +are eligible for submission. All submissions will be reviewed +according to the high standards of scholarship and originality +characteristic of the Journal of Automated Reasoning. + +

+Submissions are due October 1, 2009. Extended to November 16, 2009. +Papers should be in pdf format following the JAR +guidelines +for authors. + +

+We encourage authors to keep their submissions below 25 pages. Authors +should submit their papers electronically via + Easy Chair. + +

+Guest Editors:
+Christian Urban and Maribel Fernandez
+(TU Munich, King's College London)
+

+
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true}{false}ifelse}bdf +/ndf{1 index where{pop pop pop}{dup xcheck{bind}if def}ifelse}bdf +/d{setdash}bdf +/h{closepath}bdf +/H{}bdf +/J{setlinecap}bdf +/j{setlinejoin}bdf +/M{setmiterlimit}bdf +/n{newpath}bdf +/N{newpath}bdf +/q{gsave}bdf +/Q{grestore}bdf +/w{setlinewidth}bdf +/sepdef{ + dup where not + { +AltsysSepDict + } + if + 3 1 roll exch put +}bdf +/st{settransfer}bdf +/colorimage defed /_rci xdf +/_NXLevel2 defed { + _NXLevel2 not { +/colorimage where { +userdict eq { +/_rci false def +} if +} if + } if +} if +/md defed{ + md type /dicttype eq { +/colorimage where { +md eq { +/_rci false def +}if +}if +/settransfer where { +md eq { +/st systemdict /settransfer get def +}if +}if + }if +}if +/setstrokeadjust defed +{ + true setstrokeadjust + /C{curveto}bdf + /L{lineto}bdf + /m{moveto}bdf +} +{ + /dr{transform .25 sub round .25 add +exch .25 sub round .25 add exch itransform}bdf + /C{dr curveto}bdf + /L{dr lineto}bdf + /m{dr moveto}bdf + /setstrokeadjust{pop}bdf +}ifelse +/rectstroke defed /xt xdf +xt {/yt save def} if +/privrectpath { + 4 -2 roll m + dtransform round exch round exch idtransform + 2 copy 0 lt exch 0 lt xor + {dup 0 exch rlineto exch 0 rlineto neg 0 exch rlineto} + {exch dup 0 rlineto exch 0 exch rlineto neg 0 rlineto} + ifelse + closepath +}bdf +/rectclip{newpath privrectpath clip newpath}def +/rectfill{gsave newpath privrectpath fill grestore}def +/rectstroke{gsave newpath privrectpath stroke grestore}def +xt {yt restore} if +/_fonthacksave false def +/currentpacking defed +{ + /_bfh {/_fonthacksave currentpacking def false setpacking} bdf + /_efh {_fonthacksave setpacking} bdf +} +{ + /_bfh {} bdf + /_efh {} bdf +}ifelse +/packedarray{array astore readonly}ndf +/` +{ + false setoverprint + + + /-save0- save def + 5 index concat + pop + storerect left bottom width height rectclip + pop + + /dict_count countdictstack def + /op_count count 1 sub def + userdict begin + + /showpage {} def + + 0 setgray 0 setlinecap 1 setlinewidth + 0 setlinejoin 10 setmiterlimit [] 0 setdash newpath + +} bdf +/currentpacking defed{true setpacking}if +/min{2 copy gt{exch}if pop}bdf +/max{2 copy lt{exch}if pop}bdf +/xformfont { currentfont exch makefont setfont } bdf +/fhnumcolors 1 + statusdict begin +/processcolors defed +{ +pop processcolors +} +{ +/deviceinfo defed { +deviceinfo /Colors known { +pop deviceinfo /Colors get +} if +} if +} ifelse + end +def +/printerRes + gsave + matrix defaultmatrix setmatrix + 72 72 dtransform + abs exch abs + max + grestore + def +/graycalcs +[ + {Angle Frequency} + {GrayAngle GrayFrequency} + {0 Width Height matrix defaultmatrix idtransform +dup mul exch dup mul add sqrt 72 exch div} + {0 GrayWidth GrayHeight matrix defaultmatrix idtransform +dup mul exch dup mul add sqrt 72 exch div} +] def +/calcgraysteps { + forcemaxsteps + { +maxsteps + } + { +/currenthalftone defed +{currenthalftone /dicttype eq}{false}ifelse +{ +currenthalftone begin +HalftoneType 4 le +{graycalcs HalftoneType 1 sub get exec} +{ +HalftoneType 5 eq +{ +Default begin +{graycalcs HalftoneType 1 sub get exec} +end +} +{0 60} +ifelse +} +ifelse +end +} +{ +currentscreen pop exch +} +ifelse + +printerRes 300 max exch div exch +2 copy +sin mul round dup mul +3 1 roll +cos mul round dup mul +add 1 add +dup maxsteps gt {pop maxsteps} if + } + ifelse +} bdf +/nextrelease defed { + /languagelevel defed not { +/framebuffer defed { +0 40 string framebuffer 9 1 roll 8 {pop} repeat +dup 516 eq exch 520 eq or +{ +/fhnumcolors 3 def +/currentscreen {60 0 {pop pop 1}}bdf +/calcgraysteps {maxsteps} bdf +}if +}if + }if +}if +fhnumcolors 1 ne { + /calcgraysteps {maxsteps} bdf +} if +/currentpagedevice defed { + + + currentpagedevice /PreRenderingEnhance known + { +currentpagedevice /PreRenderingEnhance get +{ +/calcgraysteps +{ +forcemaxsteps +{maxsteps} +{256 maxsteps min} +ifelse +} def +} if + } if +} if +/gradfrequency 144 def +printerRes 1000 lt { + /gradfrequency 72 def +} if +/adjnumsteps { + + dup dtransform abs exch abs max + + printerRes div + + gradfrequency mul + round + 5 max + min +}bdf +/goodsep { + spots exch get 4 get dup sepname eq exch (_vc_Registration) eq or +}bdf +/BeginGradation defed +{/bb{BeginGradation}bdf} +{/bb{}bdf} +ifelse +/EndGradation defed +{/eb{EndGradation}bdf} +{/eb{}bdf} +ifelse +/bottom -0 def +/delta -0 def +/frac -0 def +/height -0 def +/left -0 def +/numsteps1 -0 def +/radius -0 def +/right -0 def +/top -0 def +/width -0 def +/xt -0 def +/yt -0 def +/df currentflat def +/tempstr 1 string def +/clipflatness currentflat def +/inverted? + 0 currenttransfer exec .5 ge def +/tc1 [0 0 0 1] def +/tc2 [0 0 0 1] def +/storerect{/top xdf /right xdf /bottom xdf /left xdf +/width right left sub def /height top bottom sub def}bdf +/concatprocs{ + systemdict /packedarray known + {dup type /packedarraytype eq 2 index type /packedarraytype eq or}{false}ifelse + { +/proc2 exch cvlit def /proc1 exch cvlit def +proc1 aload pop proc2 aload pop +proc1 length proc2 length add packedarray cvx + } + { +/proc2 exch cvlit def /proc1 exch cvlit def +/newproc proc1 length proc2 length add array def +newproc 0 proc1 putinterval newproc proc1 length proc2 putinterval +newproc cvx + }ifelse +}bdf +/i{dup 0 eq + {pop df dup} + {dup} ifelse + /clipflatness xdf setflat +}bdf +version cvr 38.0 le +{/setrgbcolor{ +currenttransfer exec 3 1 roll +currenttransfer exec 3 1 roll +currenttransfer exec 3 1 roll +setrgbcolor}bdf}if +/vms {/vmsv save def} bdf +/vmr {vmsv restore} bdf +/vmrs{vmsv restore /vmsv save def}bdf +/eomode{ + {/filler /eofill load def /clipper /eoclip load def} + {/filler /fill load def /clipper /clip load def} + ifelse +}bdf +/normtaper{}bdf +/logtaper{9 mul 1 add log}bdf +/CD{ + /NF exch def + { +exch dup +/FID ne 1 index/UniqueID ne and +{exch NF 3 1 roll put} +{pop pop} +ifelse + }forall + NF +}bdf +/MN{ + 1 index length + /Len exch def + dup length Len add + string dup + Len + 4 -1 roll + putinterval + dup + 0 + 4 -1 roll + putinterval +}bdf +/RC{4 -1 roll /ourvec xdf 256 string cvs(|______)anchorsearch + {1 index MN cvn/NewN exch def cvn + findfont dup maxlength dict CD dup/FontName NewN put dup + /Encoding ourvec put NewN exch definefont pop}{pop}ifelse}bdf +/RF{ + dup + FontDirectory exch + known + {pop 3 -1 roll pop} + {RC} + ifelse +}bdf +/FF{dup 256 string cvs(|______)exch MN cvn dup FontDirectory exch known + {exch pop findfont 3 -1 roll pop} + {pop dup findfont dup maxlength dict CD dup dup + /Encoding exch /Encoding get 256 array copy 7 -1 roll + {3 -1 roll dup 4 -2 roll put}forall put definefont} + ifelse}bdf +/RFJ{ + dup + FontDirectory exch + known + {pop 3 -1 roll pop + FontDirectory /Ryumin-Light-83pv-RKSJ-H known + {pop pop /Ryumin-Light-83pv-RKSJ-H dup}if + } + {RC} + ifelse +}bdf +/FFJ{dup 256 string cvs(|______)exch MN cvn dup FontDirectory exch known + {exch pop findfont 3 -1 roll pop} + {pop +dup FontDirectory exch known not + {FontDirectory /Ryumin-Light-83pv-RKSJ-H known +{pop /Ryumin-Light-83pv-RKSJ-H}if + }if + dup findfont dup maxlength dict CD dup dup + /Encoding exch /Encoding get 256 array copy 7 -1 roll + {3 -1 roll dup 4 -2 roll put}forall put definefont} + ifelse}bdf +/fps{ + currentflat + exch + dup 0 le{pop 1}if + { +dup setflat 3 index stopped +{1.3 mul dup 3 index gt{pop setflat pop pop stop}if} +{exit} +ifelse + }loop + pop setflat pop pop +}bdf +/fp{100 currentflat fps}bdf +/clipper{clip}bdf +/W{/clipper load 100 clipflatness dup setflat fps}bdf +userdict begin /BDFontDict 29 dict def end +BDFontDict begin +/bu{}def +/bn{}def +/setTxMode{av 70 ge{pop}if pop}def +/gm{m}def +/show{pop}def +/gr{pop}def +/fnt{pop pop pop}def +/fs{pop}def +/fz{pop}def +/lin{pop pop}def +/:M {pop pop} def +/sf {pop} def +/S {pop} def +/@b {pop pop pop pop pop pop pop pop} def +/_bdsave /save load def +/_bdrestore /restore load def +/save { dup /fontsave eq {null} {_bdsave} ifelse } def +/restore { dup null eq { pop } { _bdrestore } ifelse } def +/fontsave null def +end +/MacVec 256 array def +MacVec 0 /Helvetica findfont +/Encoding get 0 128 getinterval putinterval +MacVec 127 /DEL put MacVec 16#27 /quotesingle put MacVec 16#60 /grave put +/NUL/SOH/STX/ETX/EOT/ENQ/ACK/BEL/BS/HT/LF/VT/FF/CR/SO/SI +/DLE/DC1/DC2/DC3/DC4/NAK/SYN/ETB/CAN/EM/SUB/ESC/FS/GS/RS/US +MacVec 0 32 getinterval astore pop +/Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis/Udieresis/aacute +/agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute/egrave +/ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde/oacute +/ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex/udieresis +/dagger/degree/cent/sterling/section/bullet/paragraph/germandbls +/registered/copyright/trademark/acute/dieresis/notequal/AE/Oslash +/infinity/plusminus/lessequal/greaterequal/yen/mu/partialdiff/summation +/product/pi/integral/ordfeminine/ordmasculine/Omega/ae/oslash +/questiondown/exclamdown/logicalnot/radical/florin/approxequal/Delta/guillemotleft +/guillemotright/ellipsis/nbspace/Agrave/Atilde/Otilde/OE/oe +/endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide/lozenge +/ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright/fi/fl +/daggerdbl/periodcentered/quotesinglbase/quotedblbase +/perthousand/Acircumflex/Ecircumflex/Aacute +/Edieresis/Egrave/Iacute/Icircumflex/Idieresis/Igrave/Oacute/Ocircumflex +/apple/Ograve/Uacute/Ucircumflex/Ugrave/dotlessi/circumflex/tilde +/macron/breve/dotaccent/ring/cedilla/hungarumlaut/ogonek/caron +MacVec 128 128 getinterval astore pop +end %. AltsysDict +%%EndResource +%%EndProlog +%%BeginSetup +AltsysDict begin +_bfh +%%IncludeResource: font Symbol +_efh +0 dict dup begin +end +/f0 /Symbol FF def +_bfh +%%IncludeResource: font ZapfHumanist601BT-Bold +_efh +0 dict dup begin +end +/f1 /ZapfHumanist601BT-Bold FF def +end %. AltsysDict +%%EndSetup +AltsysDict begin +/onlyk4{false}ndf +/ccmyk{dup 5 -1 roll sub 0 max exch}ndf +/cmyk2gray{ + 4 -1 roll 0.3 mul 4 -1 roll 0.59 mul 4 -1 roll 0.11 mul + add add add 1 min neg 1 add +}bdf +/setcmykcolor{1 exch sub ccmyk ccmyk ccmyk pop setrgbcolor}ndf +/maxcolor { + max max max +} ndf +/maxspot { + pop +} ndf +/setcmykcoloroverprint{4{dup -1 eq{pop 0}if 4 1 roll}repeat setcmykcolor}ndf +/findcmykcustomcolor{5 packedarray}ndf +/setcustomcolor{exch aload pop pop 4{4 index mul 4 1 roll}repeat setcmykcolor pop}ndf +/setseparationgray{setgray}ndf +/setoverprint{pop}ndf +/currentoverprint false ndf +/cmykbufs2gray{ + 0 1 2 index length 1 sub + { +4 index 1 index get 0.3 mul +4 index 2 index get 0.59 mul +4 index 3 index get 0.11 mul +4 index 4 index get +add add add cvi 255 min +255 exch sub +2 index 3 1 roll put + }for + 4 1 roll pop pop pop +}bdf +/colorimage{ + pop pop + [ +5 -1 roll/exec cvx +6 -1 roll/exec cvx +7 -1 roll/exec cvx +8 -1 roll/exec cvx +/cmykbufs2gray cvx + ]cvx + image +} +%. version 47.1 on Linotronic of Postscript defines colorimage incorrectly (rgb model only) +version cvr 47.1 le +statusdict /product get (Lino) anchorsearch{pop pop true}{pop false}ifelse +and{userdict begin bdf end}{ndf}ifelse +fhnumcolors 1 ne {/yt save def} if +/customcolorimage{ + aload pop + (_vc_Registration) eq + { +pop pop pop pop separationimage + } + { +/ik xdf /iy xdf /im xdf /ic xdf +ic im iy ik cmyk2gray /xt xdf +currenttransfer +{dup 1.0 exch sub xt mul add}concatprocs +st +image + } + ifelse +}ndf +fhnumcolors 1 ne {yt restore} if +fhnumcolors 3 ne {/yt save def} if +/customcolorimage{ + aload pop + (_vc_Registration) eq + { +pop pop pop pop separationimage + } + { +/ik xdf /iy xdf /im xdf /ic xdf +1.0 dup ic ik add min sub +1.0 dup im ik add min sub +1.0 dup iy ik add min sub +/ic xdf /iy xdf /im xdf +currentcolortransfer +4 1 roll +{dup 1.0 exch sub ic mul add}concatprocs 4 1 roll +{dup 1.0 exch sub iy mul add}concatprocs 4 1 roll +{dup 1.0 exch sub im mul add}concatprocs 4 1 roll +setcolortransfer +{/dummy xdf dummy}concatprocs{dummy}{dummy}true 3 colorimage + } + ifelse +}ndf +fhnumcolors 3 ne {yt restore} if +fhnumcolors 4 ne {/yt save def} if +/customcolorimage{ + aload pop + (_vc_Registration) eq + { +pop pop pop pop separationimage + } + { +/ik xdf /iy xdf /im xdf /ic xdf +currentcolortransfer +{1.0 exch sub ik mul ik sub 1 add}concatprocs 4 1 roll +{1.0 exch sub iy mul iy sub 1 add}concatprocs 4 1 roll +{1.0 exch sub im mul im sub 1 add}concatprocs 4 1 roll +{1.0 exch sub ic mul ic sub 1 add}concatprocs 4 1 roll +setcolortransfer +{/dummy xdf dummy}concatprocs{dummy}{dummy}{dummy} +true 4 colorimage + } + ifelse +}ndf +fhnumcolors 4 ne {yt restore} if +/separationimage{image}ndf +/newcmykcustomcolor{6 packedarray}ndf +/inkoverprint false ndf +/setinkoverprint{pop}ndf +/setspotcolor { + spots exch get + dup 4 get (_vc_Registration) eq + {pop 1 exch sub setseparationgray} + {0 5 getinterval exch setcustomcolor} + ifelse +}ndf +/currentcolortransfer{currenttransfer dup dup dup}ndf +/setcolortransfer{st pop pop pop}ndf +/fas{}ndf +/sas{}ndf +/fhsetspreadsize{pop}ndf +/filler{fill}bdf +/F{gsave {filler}fp grestore}bdf +/f{closepath F}bdf +/S{gsave {stroke}fp grestore}bdf +/s{closepath S}bdf +/bc4 [0 0 0 0] def +/_lfp4 { + /iosv inkoverprint def + /cosv currentoverprint def + /yt xdf + /xt xdf + /ang xdf + storerect + /taperfcn xdf + /k2 xdf /y2 xdf /m2 xdf /c2 xdf + /k1 xdf /y1 xdf /m1 xdf /c1 xdf + c1 c2 sub abs + m1 m2 sub abs + y1 y2 sub abs + k1 k2 sub abs + maxcolor + calcgraysteps mul abs round + height abs adjnumsteps + dup 2 lt {pop 1} if + 1 sub /numsteps1 xdf + currentflat mark + currentflat clipflatness + /delta top bottom sub numsteps1 1 add div def + /right right left sub def + /botsv top delta sub def + { +{ +W +xt yt translate +ang rotate +xt neg yt neg translate +dup setflat +/bottom botsv def +0 1 numsteps1 +{ +numsteps1 dup 0 eq {pop 0.5 } { div } ifelse +taperfcn /frac xdf +bc4 0 c2 c1 sub frac mul c1 add put +bc4 1 m2 m1 sub frac mul m1 add put +bc4 2 y2 y1 sub frac mul y1 add put +bc4 3 k2 k1 sub frac mul k1 add put +bc4 vc +1 index setflat +{ +mark {newpath left bottom right delta rectfill}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +/bottom bottom delta sub def +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/bcs [0 0] def +/_lfs4 { + /iosv inkoverprint def + /cosv currentoverprint def + /yt xdf + /xt xdf + /ang xdf + storerect + /taperfcn xdf + /tint2 xdf + /tint1 xdf + bcs exch 1 exch put + tint1 tint2 sub abs + bcs 1 get maxspot + calcgraysteps mul abs round + height abs adjnumsteps + dup 2 lt {pop 2} if + 1 sub /numsteps1 xdf + currentflat mark + currentflat clipflatness + /delta top bottom sub numsteps1 1 add div def + /right right left sub def + /botsv top delta sub def + { +{ +W +xt yt translate +ang rotate +xt neg yt neg translate +dup setflat +/bottom botsv def +0 1 numsteps1 +{ +numsteps1 div taperfcn /frac xdf +bcs 0 +1.0 tint2 tint1 sub frac mul tint1 add sub +put bcs vc +1 index setflat +{ +mark {newpath left bottom right delta rectfill}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +/bottom bottom delta sub def +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/_rfs4 { + /iosv inkoverprint def + /cosv currentoverprint def + /tint2 xdf + /tint1 xdf + bcs exch 1 exch put + /radius xdf + /yt xdf + /xt xdf + tint1 tint2 sub abs + bcs 1 get maxspot + calcgraysteps mul abs round + radius abs adjnumsteps + dup 2 lt {pop 2} if + 1 sub /numsteps1 xdf + radius numsteps1 div 2 div /halfstep xdf + currentflat mark + currentflat clipflatness + { +{ +dup setflat +W +0 1 numsteps1 +{ +dup /radindex xdf +numsteps1 div /frac xdf +bcs 0 +tint2 tint1 sub frac mul tint1 add +put bcs vc +1 index setflat +{ +newpath mark xt yt radius 1 frac sub mul halfstep add 0 360 +{ arc +radindex numsteps1 ne +{ +xt yt +radindex 1 add numsteps1 +div 1 exch sub +radius mul halfstep add +dup xt add yt moveto +360 0 arcn +} if +fill +}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/_rfp4 { + /iosv inkoverprint def + /cosv currentoverprint def + /k2 xdf /y2 xdf /m2 xdf /c2 xdf + /k1 xdf /y1 xdf /m1 xdf /c1 xdf + /radius xdf + /yt xdf + /xt xdf + c1 c2 sub abs + m1 m2 sub abs + y1 y2 sub abs + k1 k2 sub abs + maxcolor + calcgraysteps mul abs round + radius abs adjnumsteps + dup 2 lt {pop 1} if + 1 sub /numsteps1 xdf + radius numsteps1 dup 0 eq {pop} {div} ifelse + 2 div /halfstep xdf + currentflat mark + currentflat clipflatness + { +{ +dup setflat +W +0 1 numsteps1 +{ +dup /radindex xdf +numsteps1 dup 0 eq {pop 0.5 } { div } ifelse +/frac xdf +bc4 0 c2 c1 sub frac mul c1 add put +bc4 1 m2 m1 sub frac mul m1 add put +bc4 2 y2 y1 sub frac mul y1 add put +bc4 3 k2 k1 sub frac mul k1 add put +bc4 vc +1 index setflat +{ +newpath mark xt yt radius 1 frac sub mul halfstep add 0 360 +{ arc +radindex numsteps1 ne +{ +xt yt +radindex 1 add +numsteps1 dup 0 eq {pop} {div} ifelse +1 exch sub +radius mul halfstep add +dup xt add yt moveto +360 0 arcn +} if +fill +}stopped +{cleartomark exch 1.3 mul dup setflat exch 2 copy gt{stop}if} +{cleartomark exit}ifelse +}loop +}for +} +gsave stopped grestore +{exch pop 2 index exch 1.3 mul dup 100 gt{cleartomark setflat stop}if} +{exit}ifelse + }loop + cleartomark setflat + iosv setinkoverprint + cosv setoverprint +}bdf +/lfp4{_lfp4}ndf +/lfs4{_lfs4}ndf +/rfs4{_rfs4}ndf +/rfp4{_rfp4}ndf +/cvc [0 0 0 1] def +/vc{ + AltsysDict /cvc 2 index put + aload length 4 eq + {setcmykcolor} + {setspotcolor} + ifelse +}bdf +/origmtx matrix currentmatrix def +/ImMatrix matrix currentmatrix def +0 setseparationgray +/imgr {1692 1570.1102 2287.2756 2412 } def +/bleed 0 def +/clpr {1692 1570.1102 2287.2756 2412 } def +/xs 1 def +/ys 1 def +/botx 0 def +/overlap 0 def +/wdist 18 def +0 2 mul fhsetspreadsize +0 0 ne {/df 0 def /clipflatness 0 def} if +/maxsteps 256 def +/forcemaxsteps false def +vms +-1845 -1956 translate +/currentpacking defed{false setpacking}if +/spots[ +1 0 0 0 (Process Cyan) false newcmykcustomcolor +0 1 0 0 (Process Magenta) false newcmykcustomcolor +0 0 1 0 (Process Yellow) false newcmykcustomcolor +0 0 0 1 (Process Black) false newcmykcustomcolor +]def +/textopf false def +/curtextmtx{}def +/otw .25 def +/msf{dup/curtextmtx xdf makefont setfont}bdf +/makesetfont/msf load def +/curtextheight{.707104 .707104 curtextmtx dtransform + dup mul exch dup mul add sqrt}bdf +/ta2{ +tempstr 2 index gsave exec grestore +cwidth cheight rmoveto +4 index eq{5 index 5 index rmoveto}if +2 index 2 index rmoveto +}bdf +/ta{exch systemdict/cshow known +{{/cheight xdf/cwidth xdf tempstr 0 2 index put ta2}exch cshow} +{{tempstr 0 2 index put tempstr stringwidth/cheight xdf/cwidth xdf ta2}forall} +ifelse 6{pop}repeat}bdf +/sts{/textopf currentoverprint def vc setoverprint +/ts{awidthshow}def exec textopf setoverprint}bdf +/stol{/xt currentlinewidth def + setlinewidth vc newpath + /ts{{false charpath stroke}ta}def exec + xt setlinewidth}bdf + +/strk{/textopf currentoverprint def vc setoverprint + /ts{{false charpath stroke}ta}def exec + textopf setoverprint + }bdf +n +[] 0 d +3.863708 M +1 w +0 j +0 J +false setoverprint +0 i +false eomode +[0 0 0 1] vc +vms +%white border -- disabled +%1845.2293 2127.8588 m +%2045.9437 2127.8588 L +%2045.9437 1956.1412 L +%1845.2293 1956.1412 L 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2054.8 1933.4 2063.5 1925.3 2064.3 C +1927.2 2063.9 1928.5 2062.1 1930.1 2060.9 C +[0.07 0.06 0 0.58] vc +f +S +n +1929.6 2061.2 m +1929.6 2057.6 1929.6 2054.1 1929.6 2050.6 C +1930 2049.9 1930.5 2049.4 1931.1 2049.2 C +1930 2048.6 1930.5 2050.2 1929.4 2049.6 C +1928 2054.4 1932.8 2063 1925.3 2064 C +1926.9 2063.3 1928.3 2062.4 1929.6 2061.2 C +[0.4 0.4 0 0] vc +f +S +n +1930.8 2061.6 m +1930.5 2058 1931.6 2054 1930.8 2051.3 C +1930.3 2054.5 1930.9 2058.5 1930.4 2061.9 C +1930.5 2061.2 1931 2062.2 1930.8 2061.6 C +[0.92 0.92 0 0.67] vc +f +S +n +1941.2 2045.1 m +1939.7 2042.6 1937.3 2041.2 1935.4 2039.3 C +1934.2 2040 1933.7 2036.4 1934 2039.3 C +1934.9 2040.1 1936.1 2039.9 1936.8 2040.8 C +1935.3 2044.2 1942.3 2041.7 1939.5 2046 C +1937.1 2048.5 1940.5 2045.6 1941.2 2045.1 C +f +S +n +1910 2045.8 m +1910 2039.4 1910 2033 1910 2026.6 C +1910 2033 1910 2039.4 1910 2045.8 C +f +S +n +1978.8 2022.3 m +1979.1 2021.7 1979.4 2020.4 1978.6 2021.6 C +1978.6 2026.9 1978.6 2033 1978.6 2037.6 C 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1939.1 2004.8 1938 2006.4 C +1939.1 2005.2 1940.6 2003.7 1942.1 2003.6 C +[0.4 0.4 0 0] vc +f +S +n +1942.1 2004.5 m +1941.8 2004.4 1940.4 2004.6 1940 2005.5 C +1940.4 2005 1941.2 2004.2 1942.1 2004.5 C +[0.18 0.18 0 0.78] vc +f +S +n +1914 2000.7 m +1914 1995 1913.9 1989.3 1913.8 1983.6 C +1913.9 1989.3 1914 1995 1914 2000.7 C +f +S +n +1941.6 1998.3 m +1943.4 2001.9 1942.4 1996 1940.9 1998.3 C +1941.2 1998.3 1941.4 1998.3 1941.6 1998.3 C +f +S +n +1954.8 1989.9 m +1953.9 1989.6 1954.7 1991.6 1953.9 1991.1 C +1954.5 1993.1 1953.6 1998 1954.6 1993.2 C +1954 1992.2 1954.7 1990.7 1954.8 1989.9 C +f +S +n +1947.6 1992.5 m +1946.2 1993.5 1944.9 1993 1944.8 1994.7 C +1945.5 1994 1947 1992.2 1947.6 1992.5 C +f +S +n +1910.7 1982.2 m +1910.3 1981.8 1909.7 1982 1909.2 1982 C +1909.7 1982 1910.3 1981.9 1910.7 1982.2 C +1911 1987.1 1910 1992.6 1910.7 1997.3 C +1910.7 1992.3 1910.7 1987.2 1910.7 1982.2 C +[0.65 0.65 0 0.42] vc +f +S +n +1910.9 1992.8 m +1910.9 1991.3 1910.9 1989.7 1910.9 1988.2 C 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1887.6 2003.1 1887.6 1997.3 C +1887.6 2003.1 1887.6 2009 1887.6 2014.8 C +f +S +n +1914.3 2002.8 m +1914.3 1997 1914.3 1991.1 1914.3 1985.3 C +1914.3 1991.1 1914.3 1997 1914.3 2002.8 C +f +S +n +1995.4 1992.3 m +1995.4 1991.5 1995.4 1990.7 1995.4 1989.9 C +1995.4 1990.7 1995.4 1991.5 1995.4 1992.3 C +f +S +n +1896 1988.4 m +1896.9 1988 1897.8 1987.7 1898.7 1987.2 C +1897.8 1987.7 1896.9 1988 1896 1988.4 C +f +S +n +1899.4 1986.8 m +1900.4 1986.3 1901.3 1985.8 1902.3 1985.3 C +1901.3 1985.8 1900.4 1986.3 1899.4 1986.8 C +f +S +n +1902.8 1985.1 m +1905.2 1984 1905.2 1984 1902.8 1985.1 C +f +S +n +1949.1 1983.4 m +1950.2 1984.4 1947.8 1984.6 1949.3 1985.1 C +1949.5 1984.4 1949.6 1984.1 1949.1 1983.4 C +[0.07 0.06 0 0.58] vc +f +S +n +1906.1 1983.4 m +1908.6 1982 1908.6 1982 1906.1 1983.4 C +[0.65 0.65 0 0.42] vc +f +S +n +1922.7 1976.4 m +1923.6 1976 1924.4 1975.7 1925.3 1975.2 C +1924.4 1975.7 1923.6 1976 1922.7 1976.4 C +f +S +n +vmrs +1926 1974.8 m +1927 1974.3 1928 1973.8 1928.9 1973.3 C +1928 1973.8 1927 1974.3 1926 1974.8 C +[0.65 0.65 0 0.42] vc +f +0.4 w +2 J +2 M +S +n +1929.4 1973.1 m +1931.9 1972 1931.9 1972 1929.4 1973.1 C +f +S +n +1932.8 1971.4 m +1935.3 1970 1935.3 1970 1932.8 1971.4 C +f +S +n +1949.6 2097.2 m +1951.1 2096.4 1952.6 2095.5 1954.1 2094.8 C +1952.6 2095.5 1951.1 2096.4 1949.6 2097.2 C +[0.07 0.06 0 0.58] vc +f +S +n +1955.1 2094.3 m +1956.7 2093.5 1958.3 2092.7 1959.9 2091.9 C +1958.3 2092.7 1956.7 2093.5 1955.1 2094.3 C +f +S +n +1960.4 2091.6 m +1961.3 2091.2 1962.1 2090.9 1963 2090.4 C +1962.1 2090.9 1961.3 2091.2 1960.4 2091.6 C +f +S +n +1963.5 2090.2 m +1964.4 2089.7 1965.2 2089.2 1966.1 2088.8 C +1965.2 2089.2 1964.4 2089.7 1963.5 2090.2 C +f +S +n +1966.6 2088.5 m +1969.5 2087.1 1972.4 2085.8 1975.2 2084.4 C +1972.4 2085.8 1969.5 2087.1 1966.6 2088.5 C +f +S +n +1965.2 2086.1 m +1965.9 2085.7 1966.8 2085.3 1967.6 2084.9 C +1966.8 2085.3 1965.9 2085.7 1965.2 2086.1 C +f +S +n +1968.3 2084.7 m +1969.2 2084.3 1970 2083.9 1970.9 2083.5 C +1970 2083.9 1969.2 2084.3 1968.3 2084.7 C +f +S +n +vmrs +1984.1 2084 m +1985.6 2083.2 1987.2 2082.3 1988.7 2081.6 C +1987.2 2082.3 1985.6 2083.2 1984.1 2084 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1976 2078.7 m +1978.1 2080.1 1980 2082 1982 2083.7 C +1980 2081.9 1977.9 2080.3 1976 2078.2 C +1975.5 2079.9 1975.8 2081.9 1975.7 2083.7 C +1975.8 2082 1975.5 2080.2 1976 2078.7 C +f +S +n +1989.6 2081.1 m +1991.3 2080.3 1992.8 2079.5 1994.4 2078.7 C +1992.8 2079.5 1991.3 2080.3 1989.6 2081.1 C +f +S +n +1933.2 2074.6 m +1932.4 2076.2 1932.8 2077.5 1933 2078.7 C +1933 2077.6 1932.9 2074.8 1933.2 2074.6 C +f +S +n +1994.9 2078.4 m +1995.8 2078 1996.7 2077.7 1997.6 2077.2 C +1996.7 2077.7 1995.8 2078 1994.9 2078.4 C +f +S +n +1998 2077 m +1998.9 2076.5 1999.8 2076 2000.7 2075.6 C +1999.8 2076 1998.9 2076.5 1998 2077 C +f +S +n +2001.2 2075.3 m +2004 2073.9 2006.9 2072.6 2009.8 2071.2 C +2006.9 2072.6 2004 2073.9 2001.2 2075.3 C +f +S +n +1980.5 2060.7 m +1979.9 2060.7 1976.7 2062.8 1975.7 2064.5 C +1975.7 2067.5 1975.7 2070.5 1975.7 2073.4 C +1976.3 2068.7 1973.9 2061.6 1980.5 2060.7 C +f +S +n +1999.7 2072.9 m +2000.5 2072.5 2001.3 2072.1 2002.1 2071.7 C +2001.3 2072.1 2000.5 2072.5 1999.7 2072.9 C +f +S +n +2002.8 2071.5 m +2003.7 2071.1 2004.6 2070.7 2005.5 2070.3 C +2004.6 2070.7 2003.7 2071.1 2002.8 2071.5 C +f +S +n +vmrs +2015.1 2047.5 m +2014.4 2047.5 2011.2 2049.6 2010.3 2051.3 C +2010.3 2057.7 2010.3 2064.1 2010.3 2070.5 C +2010.3 2063.9 2010.1 2057.1 2010.5 2050.6 C +2012 2049.3 2013.5 2048.3 2015.1 2047.5 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1910.4 2049.2 m +1914.8 2054.3 1920.7 2058.9 1925.1 2064 C +1920.4 2058.6 1915.1 2054.6 1910.4 2049.2 C +f +S +n +1988.2 2057.3 m +1989.1 2056.8 1989.9 2056.2 1990.8 2055.6 C +1989.9 2056.2 1989.1 2056.8 1988.2 2057.3 C +f +S +n +1991.6 2051.3 m +1991.6 2046.3 1991.6 2041.2 1991.6 2036.2 C +1991.6 2041.2 1991.6 2046.3 1991.6 2051.3 C +f +S +n +1935.6 2047.5 m +1932.9 2051.7 1939.7 2043.8 1935.6 2047.5 C +f +S +n +1938.8 2043.9 m +1938.1 2043.3 1938.2 2043.7 1937.3 2043.4 C +1938.7 2043 1938.2 2044.9 1939 2045.3 C +1938.2 2045.3 1938.7 2046.6 1937.8 2046.5 C +1939.1 2046.2 1939.1 2044.5 1938.8 2043.9 C +f +S +n +1972.4 2045.6 m +1973.4 2045 1974.5 2044.4 1975.5 2043.9 C +1974.5 2044.4 1973.4 2045 1972.4 2045.6 C +f +S +n +1969 2043.6 m +1969.8 2043.2 1970.6 2042.9 1971.4 2042.4 C +1970.6 2042.9 1969.8 2043.2 1969 2043.6 C +f +S +n +1972.1 2042.2 m +1973 2041.8 1973.9 2041.4 1974.8 2041 C +1973.9 2041.4 1973 2041.8 1972.1 2042.2 C +f +S +n +1906.6 2035 m +1905 2034.7 1904.8 2036.6 1903.5 2036.9 C +1904.9 2037 1905.8 2033.4 1907.1 2035.7 C +1907.1 2037.2 1907.1 2038.6 1907.1 2040 C +1906.9 2038.4 1907.5 2036.4 1906.6 2035 C +f +S +n +vmrs +1937.1 2032.1 m +1936.2 2033.7 1936.6 2035 1936.8 2036.2 C +1936.8 2035.1 1936.8 2032.4 1937.1 2032.1 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1887.6 2018.7 m +1892 2023.8 1897.9 2028.4 1902.3 2033.6 C +1897.6 2028.1 1892.3 2024.1 1887.6 2018.7 C +f +S +n +1999.7 2031.4 m +1998.7 2030.3 1997.6 2029.2 1996.6 2028 C +1997.6 2029.2 1998.7 2030.3 1999.7 2031.4 C +f +S +n +1912.8 2017 m +1910.6 2021.1 1913.6 2015.3 1914.5 2016 C +1914 2016.3 1913.4 2016.7 1912.8 2017 C +f +S +n +1939.5 2005 m +1936.7 2009.2 1943.6 2001.3 1939.5 2005 C +f +S +n +1942.6 2001.4 m +1941.9 2000.8 1942 2001.2 1941.2 2000.9 C +1942.5 2000.6 1942.1 2002.4 1942.8 2002.8 C +1942 2002.8 1942.5 2004.1 1941.6 2004 C +1943 2003.7 1942.9 2002.1 1942.6 2001.4 C +f +S +n +2006.2 2000.7 m +2005.4 2001.5 2004 2002.8 2004 2002.8 C +2004.5 2002.4 2005.5 2001.4 2006.2 2000.7 C +f +S +n +1998.5 2001.6 m +1997.7 2002 1996.8 2002.4 1995.9 2002.6 C +1995.5 1999.3 1995.7 1995.7 1995.6 1992.3 C +1995.6 1995.7 1995.6 1999.2 1995.6 2002.6 C +1996.6 2002.4 1997.7 2002.2 1998.5 2001.6 C +[0.4 0.4 0 0] vc +f +S +n +1996.1 2002.8 m +1995.9 2002.8 1995.8 2002.8 1995.6 2002.8 C +1995.2 1999.5 1995.5 1995.9 1995.4 1992.5 C +1995.4 1995.9 1995.4 1999.4 1995.4 2002.8 C +1996.4 2003.1 1998.2 2001.6 1996.1 2002.8 C +[0.07 0.06 0 0.58] vc +f +S +n +1969 2002.1 m +1968 2001 1966.9 1999.9 1965.9 1998.8 C +1966.9 1999.9 1968 2001 1969 2002.1 C +f +S +n +vmrs +2000 2001.2 m +2002.1 2000 2004.1 1998.9 2006.2 1997.8 C +2004.1 1998.9 2002.1 2000 2000 2001.2 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1895.8 1984.8 m +1898.3 1983.6 1900.8 1982.3 1903.2 1981 C +1900.8 1982.3 1898.3 1983.6 1895.8 1984.8 C +f +S +n +1905.2 1980.3 m +1906.4 1979.9 1907.6 1979.5 1908.8 1979.1 C +1907.6 1979.5 1906.4 1979.9 1905.2 1980.3 C +f +S +n +1964.7 1977.4 m +1963.8 1977.5 1962.5 1980.2 1960.8 1980 C +1962.5 1980.2 1963.3 1978 1964.7 1977.4 C +f +S +n +1952 1979.6 m +1955.2 1979.2 1955.2 1979.2 1952 1979.6 C +f +S +n +1937.8 1966.4 m +1941.2 1969.5 1946.1 1976.4 1951.5 1979.3 C +1946.1 1976.7 1942.8 1970.4 1937.8 1966.4 C +f +S +n +1911.9 1978.6 m +1914.3 1977.4 1916.7 1976.2 1919.1 1975 C +1916.7 1976.2 1914.3 1977.4 1911.9 1978.6 C +f +S +n +1975.5 1971.4 m +1974.6 1972.2 1973.3 1973.6 1973.3 1973.6 C +1973.7 1973.1 1974.8 1972.1 1975.5 1971.4 C +f +S +n +1922.4 1972.8 m +1924.9 1971.6 1927.4 1970.3 1929.9 1969 C +1927.4 1970.3 1924.9 1971.6 1922.4 1972.8 C +f +S +n +1969.2 1971.9 m +1971.1 1970.9 1972.9 1969.8 1974.8 1968.8 C +1972.9 1969.8 1971.1 1970.9 1969.2 1971.9 C +f +S +n +vmrs +1931.8 1968.3 m +1933 1967.9 1934.2 1967.5 1935.4 1967.1 C +1934.2 1967.5 1933 1967.9 1931.8 1968.3 C +[0.07 0.06 0 0.58] vc +f +0.4 w +2 J +2 M +S +n +1940.7 2072.4 m +1941.5 2072.4 1942.3 2072.3 1943.1 2072.2 C +1942.3 2072.3 1941.5 2072.4 1940.7 2072.4 C +[0 0 0 0.18] vc +f +S +n +1948.6 2069.3 m +1947 2069.5 1945.7 2068.9 1944.8 2069.8 C +1945.9 2068.5 1948.4 2070.2 1948.6 2069.3 C +f +S +n +1954.6 2066.4 m +1954.7 2067.9 1955.6 2067.3 1955.6 2068.8 C +1955.4 2067.8 1956 2066.6 1954.6 2066.4 C +f +S +n +1929.2 2061.2 m +1927.8 2062.1 1926.3 2064.1 1924.8 2063.3 C +1926.3 2064.6 1928 2062 1929.2 2061.2 C +f +S +n +1924.4 2067.4 m +1918.5 2061.6 1912.7 2055.9 1906.8 2050.1 C +1912.7 2055.9 1918.5 2061.6 1924.4 2067.4 C +[0.4 0.4 0 0] vc +f +S +n +1924.6 2062.8 m +1923.9 2062.1 1923.2 2061.2 1922.4 2060.4 C +1923.2 2061.2 1923.9 2062.1 1924.6 2062.8 C +[0 0 0 0.18] vc +f +S +n +1919.3 2057.3 m +1917.5 2055.6 1915.7 2053.8 1913.8 2052 C +1915.7 2053.8 1917.5 2055.6 1919.3 2057.3 C +f +S +n +1929.2 2055.2 m +1929.2 2054.2 1929.2 2053.2 1929.2 2052.3 C +1929.2 2053.2 1929.2 2054.2 1929.2 2055.2 C +f +S +n +1926.3 2049.6 m +1925.4 2049 1925.4 2050.5 1924.4 2050.4 C +1925.3 2051.3 1924.5 2051.9 1925.6 2052.5 C +1926.9 2052.6 1926 2050.6 1926.3 2049.6 C +f +S +n +vmrs +1911.2 2046.8 m +1910.1 2048.9 1911.9 2050.1 1913.1 2051.3 C +1912.1 2049.9 1910.6 2048.8 1911.2 2046.8 C +[0 0 0 0.18] vc +f +0.4 w +2 J +2 M +S +n +1934 2048.7 m +1932.6 2048.7 1930.1 2047.7 1929.6 2049.4 C +1930.9 2048.6 1933.3 2049 1934 2048.7 C +f +S +n +1980 2048.4 m +1979.5 2046.8 1976.3 2047.9 1977.2 2045.6 C +1976.8 2045.1 1976.1 2044.7 1975.2 2044.8 C +1973.7 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makesetfont +1991.07901 2012.159653 m +0 0 32 0 0 (a) ts +} +true +[0 0 0 1]sts +Q +vmrs +2030.0624 2094.056 m +1956.3187 2120.904 L +1956.321 2095.3175 L +2030.0647 2068.4695 L +2030.0624 2094.056 L +n +q +_bfh +%%IncludeResource: font ZapfHumanist601BT-Bold +_efh +{ +f1 [22.155762 -9.336792 -0.002197 44.368408 1 0] makesetfont +1956.320496 2101.409561 m +0 0 32 0 0 (Isabelle) ts +} +true +[0 0 0 1]sts +Q +vmr +vmr +end +%%Trailer +%%DocumentNeededResources: font Symbol +%%+ font ZapfHumanist601BT-Bold +%%DocumentFonts: Symbol +%%+ ZapfHumanist601BT-Bold +%%DocumentNeededFonts: Symbol +%%+ ZapfHumanist601BT-Bold diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/logo.png Binary file Nominal/activities/logo.png has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/popl1.png Binary file Nominal/activities/popl1.png has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/slides.pdf Binary file Nominal/activities/slides.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/AK-example_hgrc --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/AK-example_hgrc Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,41 @@ +# This is an example configuration file that you could use as ~/.hgrc +# A repository can have additional configuration data in /path/to/repo/.hg/hgrc + + +[extensions] +# Many extensions come with the system, but need to be activated + +# patch queue extension. Required for "strip" +hgext.mq = + +# colored diffs, hg status +hgext.color = + +# ascii revision graph by the glog command +hgext.graphlog = + +# conveniently pull and merge in one step +# See http://mercurial.selenic.com/wiki/FetchExtension +hgext.fetch = + + + +[defaults] + +# This section sets default command line arguments for commands + +# show 5 changes by default. Change to what fits on your screen +log = -l 5 +glog = -l 5 + +# Replace lengthy commit message from fetch merges +fetch = -m "merged" + + +[ui] +# username that appears in changesets. Set to something meaningful. +# Note that this is just a comment added to changesets, not the basis +# of any authentication. +#username = krauss + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/AK-example_session --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/AK-example_session Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,58 @@ +# Mercurial sample session +# +# Isabelle Developer's Workshop 2009 +# + +# initialization +cd ~ +mkdir alex +mkdir florian + +cd ~/alex + + +hg init playground +cd playground +echo "Hello World" > greeting +hg add greeting +hg commit +hg log +hg serve + + +cd ~/florian + +hg clone ~/alex/playground +cd playground +hg log + +# Florian's changes that were hidden in a script: + +echo "fun greet str = \"Hello \" ^ str" > code_generator +hg add code_generator +hg ci -m "added code generator" -u haftmann +echo "Hello Universe" > greeting +hg ci -m "generalized scope of greeting" -u wenzelm +echo "Hello Universe[simp]" > greeting +hg ci -m "added [simp]" -u nipkow + + +cd ~/alex + +hg log +echo "Hello IDW" >> greeting +hg ci -m "also greet the workshop" +hg pull ~/florian/playground +hg log +hg glog + + +hg pull ~/florian/playground +hg up +hg merge +emacs greeting # fix the conflict +hg resolve -m greeting # mark as resolved +hg ci -m "merged" +hg glog + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/AK-hgtalk.pdf Binary file Nominal/activities/tphols09/IDW/AK-hgtalk.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/CU-Ex1.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/CU-Ex1.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,461 @@ +theory Ex +imports Main +begin + +text {* + An example of an apply-proof and the + corresponding ML-code. +*} + +lemma disj_swap: + shows "P \ Q \ Q \ P" +apply(erule disjE) +apply(rule disjI2) +apply(assumption) +apply(rule disjI1) +apply(assumption) +done + +ML {* +let + val ctxt = @{context} + val goal = @{prop "P \ Q \ Q \ P"} + val facts = [] + val schms = ["P", "Q"] +in + Goal.prove ctxt schms facts goal + (fn _ => + etac @{thm disjE} 1 + THEN rtac @{thm disjI2} 1 + THEN atac 1 + THEN rtac @{thm disjI1} 1 + THEN atac 1) +end +*} + +text {* + Tactics coded in ML can be applied / tried out in + apply-scripts using "tactic". "THEN" is a tactic + combinator that just strings tactics together. + Tactic combinators are also called tacticals. +*} + +ML {* +val foo_tac = + (etac @{thm disjE} 1 + THEN rtac @{thm disjI2} 1 + THEN atac 1 + THEN rtac @{thm disjI1} 1 + THEN atac 1) +*} + +lemma + shows "P \ Q \ Q \ P" +apply(tactic {* foo_tac *}) +done + +text {* + Coding tactics with explicit subgoal addressing + is quite brittle and limits the usage of the tactics. + This can be avoided using the `primed' versions + of the tactic comibinators. +*} + +ML {* +val foo_tac' = + (etac @{thm disjE} + THEN' rtac @{thm disjI2} + THEN' atac + THEN' rtac @{thm disjI1} + THEN' atac) +*} + +text {* + Now the tactic can be used on any subgoal. +*} + +lemma "P1 \ Q1 \ Q1 \ P1" + and "P2 \ Q2 \ Q2 \ P2" +apply(tactic {* foo_tac' 2 *}) +apply(tactic {* foo_tac' 1 *}) +done + +text {* + The type of a tactic is from a theorem + to a lazy sequence of (successor) theorems. + + type tactic = thm -> thm Seq.seq + + The simplest tactics are no_tac (always + fails) and all_tac (always succeds, but + does not make any progress. +*} + + +ML {* fun no_tac thm = Seq.empty *} +ML {* fun all_tac thm = Seq.single thm *} + +text {* + The lazy sequence can be explored using + "back". +*} + +lemma "\P \ Q; P \ Q\ \ Q \ P" +apply(tactic {* foo_tac' 1 *}) +back +done + +text {* + It might be surprising that a goalstate of + an "unfinished" proof is a theorem. Below + we show the internals. + + In general a goalstate is of the form + + A1 \ An \ #C + + where the Ai are the open subgoals and C + is the theorem to be proved, protected by + the constant prop. This constant is usually + not visible. +*} + +ML {* +fun my_print_tac ctxt thm = +let + val _ = tracing (Syntax.string_of_term ctxt (prop_of thm)) +in + Seq.single thm +end +*} + +notation (output) "prop" ("#_" [1000] 1000) + +lemma shows "\A; B\ \ A \ B" +apply(tactic {* my_print_tac @{context} *}) + +apply(rule conjI) +apply(tactic {* my_print_tac @{context} *}) + +apply(assumption) +apply(tactic {* my_print_tac @{context} *}) + +apply(assumption) +apply(tactic {* my_print_tac @{context} *}) +done + +notation (output) "prop" ("_" [1000] 1000) + +text {* + There are some simple tactics corresponding + to rule, erule and drule (from apply scripts). + The examples should be self-explanatory. +*} + +lemma shows "P \ P" +apply(tactic {* atac 1 *}) +oops + +lemma shows "P \ Q" +apply(tactic {* resolve_tac [@{thm conjI}] 1 *}) +oops + +lemma shows "P \ Q \ False" +apply(tactic {* eresolve_tac [@{thm conjE}] 1 *}) +oops + +lemma shows "False \ True \ False" +apply(tactic {* dresolve_tac [@{thm conjunct2}] 1 *}) +oops + +text {* + For all sorts of operations on the goalstate there + is a corresponding tactic. The following corresponds + to "insert". +*} + +lemma shows "True = False" +apply(tactic {* cut_facts_tac [@{thm True_def}, @{thm False_def}] 1 *}) +oops + +text {* + Because of schematic variables, theorems need often + to be pre-instantiated. +*} + +lemma shows "\x \ A. P x \ Q x" +apply(tactic {* dresolve_tac [@{thm bspec}] 1 *}) +oops + +ML {* @{thm disjI1} RS @{thm conjI} *} + +text {* + Tactic combinators: every tactic (THEN), + first applicable tactic (ORELSE). +*} + +ML {* +val foo_tac' = + EVERY' [etac @{thm disjE}, + rtac @{thm disjI2}, + atac, + rtac @{thm disjI1}, + atac] +*} + + +ML {* +val select_tac = + FIRST' [rtac @{thm conjI}, + rtac @{thm impI}, + rtac @{thm notI}, + rtac @{thm allI}, K all_tac] +*} + +text {* + The most convenient order to apply tactics to subgoal + is in reverse order. +*} + +lemma + shows "A \ B" and "A \ B \ C" and " \ x. D x" and "E \ F" +apply(tactic {* select_tac 4 *}) +apply(tactic {* select_tac 3 *}) +apply(tactic {* select_tac 2 *}) +apply(tactic {* select_tac 1 *}) +oops + +text {* + The tactic select_tac can also be written using the + combinator TRY. +*} + +ML {* +val select_tac' = + TRY o FIRST' [rtac @{thm conjI}, + rtac @{thm impI}, + rtac @{thm notI}, + rtac @{thm allI}] +*} + +text {* + Repeated application of tactics. +*} + +ML {* +val repeat_sel_tac = + REPEAT o CHANGED o select_tac' +*} + +lemma + shows "A \ (B \ C)" and "A \ B \ C" and " \ x. D x" and "E \ F" +apply(tactic {* repeat_sel_tac 4 *}) +apply(tactic {* repeat_sel_tac 3 *}) +apply(tactic {* repeat_sel_tac 2 *}) +apply(tactic {* repeat_sel_tac 1 *}) +oops + +text {* + Application of a tactics to all new subgoals. +*} + +ML {* +val repeat_all_new_sel_tac = + TRY o REPEAT_ALL_NEW (CHANGED o select_tac') +*} + +lemma + shows "A \ (B \ C)" and "A \ B \ C" and " \ x. D x" and "E \ F" +apply(tactic {* repeat_all_new_sel_tac 4 *}) +apply(tactic {* repeat_all_new_sel_tac 3 *}) +apply(tactic {* repeat_all_new_sel_tac 2 *}) +apply(tactic {* repeat_all_new_sel_tac 1 *}) +oops + +text {* + The tactical DEPTH_SOLVED applies tactics in depth first + search including backtracking. + + This can be used to implement a decision procedure for + propositional intuitionistic logic inspired by work of + Roy Dyckhoff. +*} + + +lemma impE1: + shows "\A \ B; A; \A; B\ \ R\ \ R" +by iprover + +lemma impE2: + shows "\(C \ D) \ B; C \ (D \B) \ R\ \ R" +by iprover + +lemma impE3: + shows "\(C \ D) \ B; \C \ B; D \ B\ \ R\ \ R" +by iprover + +lemma impE4: + shows "\(C \ D) \ B; D \ B \ C \ D; B \ R\ \ R" +by iprover + +lemma impE5: + shows "\(C = D) \ B; (C \ D) \ ((D \ C) \ B) \ R\ \ R" +by iprover + +ML {* +val apply_tac = +let + val intros = [@{thm conjI}, @{thm disjI1}, @{thm disjI2}, @{thm impI}, @{thm iffI}] + val elims = [@{thm FalseE}, @{thm conjE}, @{thm disjE}, @{thm iffE}, + @{thm impE2}, @{thm impE3}, @{thm impE4}, @{thm impE5}, @{thm impE1}] +in + atac + ORELSE' resolve_tac intros + ORELSE' eresolve_tac elims +end +*} + +lemma + shows "((((P \ Q) \ P) \ P) \ Q) \ Q" +apply(tactic {* (DEPTH_SOLVE o apply_tac) 1 *}) +done + +lemma + shows "((A \ B) \ A) \ A" +apply(tactic {* (TRY o DEPTH_SOLVE o apply_tac) 1 *}) +oops + +lemma + shows "(A \ B \ ((((A \ False) \ False) \ Q) \ (B \ Q)) \ Q) \ Q" +apply(tactic {* (TRY o DEPTH_SOLVE o apply_tac) 1 *}) +oops + +text {* + The SUBPROOF tactic gives you full access to + all components of a goal state. +*} + +ML {* +fun subproof_tac {asms, concl, prems, params, context, schematics} = +let + fun out f xs = commas (map (Syntax.string_of_term context o f) xs) + val str_of_asms = out term_of asms + val str_of_concl = out term_of [concl] + val str_of_prems = out prop_of prems + val str_of_params = out term_of params + val str_of_schms = out term_of (snd schematics) + val s = ["params: " ^ str_of_params, + "schematics: " ^ str_of_schms, + "premises: " ^ str_of_prems, + "assumptions: " ^ str_of_asms, + "conclusion: " ^ str_of_concl] +in + tracing (cat_lines s); no_tac +end +*} + +lemma shows "\x y. A x y \ B y x \ C (?z y) x" +apply(tactic {* SUBPROOF subproof_tac @{context} 1 *})? +apply(rule impI) +apply(tactic {* SUBPROOF subproof_tac @{context} 1 *})? +oops + +ML {* +val my_atac = SUBPROOF (fn {prems, ...} => resolve_tac prems 1) +*} + +lemma shows "\B x y; A x y; C x y \ \ A x y" +apply(tactic {* my_atac @{context} 1 *}) +done + + +text {* + Setting up the goal state using the function + Goal.prove. It expects the goal as a term, we + have to construct manually. +*} + +ML {* +open HOLogic + +fun P n = @{term "P::nat \ bool"} $ (mk_number @{typ "nat"} n) + +fun rhs 1 = P 1 + | rhs n = mk_conj (P n, rhs (n - 1)) + +fun lhs 1 n = mk_imp (mk_eq (P 1, P n), rhs n) + | lhs m n = mk_conj (mk_imp + (mk_eq (P (m - 1), P m), rhs n), lhs (m - 1) n) +*} + +ML {* +fun de_bruijn_test ctxt n = +let + val i = 2*n + 1 + val goal = mk_Trueprop (mk_imp (lhs i i, rhs i)) +in + Syntax.string_of_term ctxt goal + |> writeln +end; + +de_bruijn_test @{context} 1 +*} + +ML {* +fun de_bruijn ctxt n = +let + val i = 2*n+1 + val goal = mk_Trueprop (mk_imp (lhs i i, rhs i)) +in + Goal.prove ctxt ["P"] [] goal + (fn _ => (DEPTH_SOLVE o apply_tac) 1) +end +*} + +ML{* de_bruijn @{context} 1 *} + +text {* + Below is the version which constructs the terms + using fixed variables. +*} + +ML {* +fun de_bruijn ctxt n = +let + val i = 2*n+1 + val bs = replicate (i+1) "b" + val (nbs, ctxt') = Variable.variant_fixes bs ctxt + val fbs = map (fn z => Free (z, @{typ "bool"})) nbs + + fun P n = nth fbs n + + fun rhs 0 = @{term "True"} + | rhs 1 = P 1 + | rhs n = mk_conj (P n, rhs (n - 1)) + + fun lhs 1 n = mk_imp (mk_eq (P 1, P n), rhs n) + | lhs m n = mk_conj (mk_imp + (mk_eq (P (m - 1), P m), rhs n), lhs (m - 1) n) + + val goal = mk_Trueprop (mk_imp (lhs i i, rhs i)) +in + Goal.prove ctxt' [] [] goal + (fn _ => (DEPTH_SOLVE o apply_tac) 1) + (*|> singleton (ProofContext.export ctxt' ctxt)*) +end +*} + +ML {* de_bruijn @{context} 1 *} + + +end + + + + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/CU-intro.pdf Binary file Nominal/activities/tphols09/IDW/CU-intro.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/CU-slides1.pdf Binary file Nominal/activities/tphols09/IDW/CU-slides1.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/CU-slides2.pdf Binary file Nominal/activities/tphols09/IDW/CU-slides2.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/Conversions.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/Conversions.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,580 @@ +theory Conversions +imports Main +begin + +section {* Basic conversions *} + +ML {* Conv.all_conv : cterm -> thm *} +ML {* Conv.all_conv *} + +text {* Always succeeds *} + +ML {* Conv.all_conv @{cterm "42::int"} *} + +text {* Always fails *} + +(* +ML {* Conv.no_conv @{cterm "42::int"} *} +*) + +text {* Rewrite with a single rule *} + +ML {* +val rev_Cons = mk_meta_eq @{thm rev.simps(2)} +*} + +ML {* +Conv.rewr_conv rev_Cons @{cterm "rev [1::int, 2]"} +*} + + + +section {* Combining conversions (``conversionals'') *} + +text {* Sequencing *} + +ML {* +val add_0_right = mk_meta_eq @{thm monoid_add_class.add_0_right} +*} + +ML {* +val mult_1_left = mk_meta_eq @{thm monoid_mult_class.mult_1_left} +*} + +ML {* +(Conv.rewr_conv add_0_right then_conv Conv.rewr_conv mult_1_left) +@{cterm "((1::int) * x) + 0"} +*} + +text {* Alternative *} + +ML {* +val rev_Nil = mk_meta_eq @{thm rev.simps(1)} +*} + +ML {* +(Conv.rewr_conv rev_Nil else_conv Conv.rewr_conv rev_Cons) +@{cterm "rev [1::int, 2, 3]"} +*} + +text {* Try conversion (yields reflexivity instead of exception) *} + +ML {* +Conv.try_conv (Conv.rewr_conv rev_Nil) @{cterm "[1::int, 2]"} +*} + +text {* Descend into subterms *} + +ML {* +Conv.combination_conv + (Conv.combination_conv + Conv.all_conv + (Conv.rewr_conv rev_Cons)) + (Conv.rewr_conv rev_Cons) + @{cterm "rev [1::int, 2] @ rev [3, 4]"} +*} + +ML {* +Conv.combination_conv + (Conv.arg_conv + (Conv.rewr_conv rev_Cons)) + (Conv.rewr_conv rev_Cons) + @{cterm "rev [1::int, 2] @ rev [3, 4]"} +*} + +ML {* +Conv.abs_conv (fn (v, ctxt) => + Conv.abs_conv (fn (v', ctxt') => + Conv.rewr_conv rev_Cons) ctxt) + @{context} + @{cterm "\x y. rev [x, y]"} +*} + + + +section {* Simple bottom-up rewriting, using Isabelle's conversion library *} + +text {* Descend into immediate subterms *} + +ML {* +fun subc conv ctxt = + Conv.comb_conv (conv ctxt) else_conv + Conv.abs_conv (conv o snd) ctxt else_conv + Conv.all_conv; +*} + +text {* The ct argument is necessary to avoid nontermination! *} + +ML {* +fun botc conv ctxt ct = + (subc (botc conv) ctxt then_conv + Conv.try_conv (conv then_conv botc conv ctxt)) ct +*} + +text {* Running example: reversing lists *} + +ML {* +val eqns = map mk_meta_eq (@{thms "append.simps"} @ @{thms "rev.simps"}); +*} + +ML {* +val rev_int = @{cterm "rev :: int list \ int list"}; +*} + +text {* Produce lists of length i *} + +ML {* +fun mk_upto thy i = Thm.cterm_of thy (HOLogic.mk_list HOLogic.intT + (map (HOLogic.mk_number HOLogic.intT) (1 upto i))); +*} + +ML {* +val ct = Thm.capply rev_int (mk_upto @{theory} 100) +*} + +text {* Fully rewrite the term (slow, i.e. 40 secs on my laptop) *} + +ML {* +timeit (fn () => + botc (Conv.first_conv (map Conv.rewr_conv eqns)) @{context} ct) +*} + +text {* Also rewrites inside quantifiers, thanks to abs_conv *} + +ML {* +botc (Conv.first_conv (map Conv.rewr_conv eqns)) @{context} + @{cterm "\x y z. P (rev [x, y, z])"} +*} + + + +section {* Using exceptions for signalling unchanged terms *} + +text {* + Motivation: avoid unnecessary applications of reflexivity +*} + +ML {* +infix 1 then_conv'; +infix 0 else_conv'; + +exception Fail; +exception Unchanged; + +fun (cv1 else_conv' cv2) ct = + cv1 ct handle Fail => cv2 ct; + +fun all_conv' ct = raise Unchanged; + +fun no_conv' ct = raise Fail; + +fun try_conv' cv ct = cv ct handle Fail => raise Unchanged; + +fun (cv1 then_conv' cv2) ct = + let val eq = cv1 ct + in Thm.transitive eq (cv2 (Thm.rhs_of eq)) handle Unchanged => eq + end handle Unchanged => cv2 ct; + +fun first_conv' cvs = fold_rev (curry op else_conv') cvs no_conv'; + +fun comb_conv' cv ct = + let val (ct1, ct2) = Thm.dest_comb ct + in + let val eq1 = cv ct1 + in Thm.combination eq1 (cv ct2) handle Unchanged => + Thm.combination eq1 (Thm.reflexive ct2) + end handle Unchanged => + let val eq2 = cv ct2 + in Thm.combination (Thm.reflexive ct1) eq2 end + end handle CTERM _ => raise Fail; + +fun abs_conv' cv ctxt ct = + (case Thm.term_of ct of + Abs (x, _, _) => + let + val ([u], ctxt') = Variable.variant_fixes ["u"] ctxt; + val (v, ct') = Thm.dest_abs (SOME u) ct; + val eq = cv (v, ctxt') ct'; + in Thm.abstract_rule x v eq end + | _ => raise Fail); + +fun subc' conv ctxt = + comb_conv' (conv ctxt) else_conv' + abs_conv' (conv o snd) ctxt else_conv' + all_conv'; + +fun botc' conv ctxt ct = + (subc' (botc' conv) ctxt then_conv' + try_conv' (conv then_conv' botc' conv ctxt)) ct + +fun rewr_conv' rule ct = + Conv.rewr_conv rule ct handle CTERM _ => raise Fail; +*} + +text {* Fully rewrite the term (32 secs on my laptop) *} + +ML {* +timeit (fn () => + botc' (first_conv' (map rewr_conv' eqns)) @{context} ct) +*} + +ML {* +botc' (first_conv' (map rewr_conv' eqns)) @{context} + @{cterm "\x y z. P (rev [x, y, z])"} +*} + + + +section {* Bottom-up writing using skeletons *} + +text {* + Motivation: avoid re-inspecting terms that are already + in normal form + Skeleton = rhs of last rewrite rule applied + decomposed in parallel with the term to be normalized + if skeleton is a variable, then the corresponding + term must already be in normal form. +*} + +ML {* +infix 1 then_conv''; + +fun (cv1 then_conv'' cv2) cts = + let val (eq1, skel1) = cv1 cts + in + let val (eq2, skel2) = cv2 (Thm.rhs_of eq1, skel1) + in (Thm.transitive eq1 eq2, skel2) end handle Unchanged => (eq1, skel1) + end handle Unchanged => cv2 cts; + +val dummy_skel = Bound 0; + +fun comb_conv'' cv (ct, skel) = + let + val (ct1, ct2) = Thm.dest_comb ct + val (skel1, skel2) = (case skel of + skel1 $ skel2 => (skel1, skel2) + | _ => (dummy_skel, dummy_skel)); + in + let val (eq1, skel1') = cv (ct1, skel1) + in + let val (eq2, skel2') = cv (ct2, skel2) + in (Thm.combination eq1 eq2, skel1' $ skel2') end + handle Unchanged => + (Thm.combination eq1 (Thm.reflexive ct2), skel1' $ skel2) + end handle Unchanged => + let val (eq2, skel2') = cv (ct2, skel2) + in (Thm.combination (Thm.reflexive ct1) eq2, skel1 $ skel2') end + end handle CTERM _ => raise Fail; + +fun abs_conv'' cv ctxt (ct, skel) = + (case Thm.term_of ct of + Abs (x, T, _) => + let + val ([u], ctxt') = Variable.variant_fixes ["u"] ctxt; + val (v, ct') = Thm.dest_abs (SOME u) ct; + val skel' = (case skel of + Abs (_, _, skel') => skel' + | _ => dummy_skel) + val (eq, skel'') = cv (v, ctxt') (ct', skel'); + in (Thm.abstract_rule x v eq, Abs (x, T, skel'')) end + | _ => raise Fail); + +fun subc'' conv ctxt = + comb_conv'' (conv ctxt) else_conv' + abs_conv'' (conv o snd) ctxt else_conv' + all_conv'; + +fun botc'' conv ctxt (_, Var _) = raise Unchanged + | botc'' conv ctxt cts = + (subc'' (botc'' conv) ctxt then_conv'' + try_conv' (conv then_conv'' botc'' conv ctxt)) cts + +fun rewr_conv'' rule (ct, _) = + (Conv.rewr_conv rule ct, term_of (Thm.rhs_of rule)) + handle CTERM _ => raise Fail; +*} + +text {* Fully rewrite the term (1.5 secs on my laptop) *} + +ML {* +timeit (fn () => + fst (botc'' (first_conv' (map rewr_conv'' eqns)) @{context} (ct, dummy_skel))) +*} + +ML {* +fst (botc'' (first_conv' (map rewr_conv'' eqns)) @{context} + (@{cterm "\x y z. P (rev [x, y, z])"}, dummy_skel)) +*} + + + +section {* The simplifier *} + +text {* + The simplifier is a conversion itself, using many of + the techniques just described. +*} + +ML {* +Simplifier.rewrite (HOL_basic_ss addsimps eqns) ct +*} + +ML {* +Simplifier.rewrite @{simpset} + @{cterm "\(x::int) (y::int). P x \ x = 42 \ Q x \ R (y + 0) \ S (1 * x)"} +*} + +ML {* +Simplifier.asm_rewrite @{simpset} + @{cterm "\(x::int) (y::int). P x \ x = 42 \ Q x \ R (y + 0) \ S (1 * x)"} +*} + +ML {* +Simplifier.full_rewrite @{simpset} + @{cterm "\(x::int) (y::int). P x \ x = 42 \ Q x \ R (y + 0) \ S (1 * x)"} +*} + +ML {* +Simplifier.asm_full_rewrite @{simpset} + @{cterm "\(x::int) (y::int). P x \ x = 42 \ Q x \ R (y + 0) \ S (1 * x)"} +*} + +ML {* +Simplifier.asm_lr_rewrite @{simpset} + @{cterm "\(x::int) (y::int). P x \ x = 42 \ Q x \ R (y + 0) \ S (1 * x)"} +*} + +section {* Simplification procedures *} + +text {* + A simplification procedure is a function of type + @{ML_type "cterm -> thm option"} + It can be used to prove rewrite rules on-the-fly. +*} + +text {* Example 1: One-point rules *} + +text {* + Problem: how to rewrite + @{term "\x y z. P y \ y = t \ Q y"} + to + @{term "\x z. P t \ Q t"} +*} + +lemma meta_onepoint1: "(\x. x = t \ PROP P x) \ PROP P t" +proof + assume R: "\x. x = t \ PROP P x" + show "PROP P t" by (rule R [OF refl]) +next + fix x assume "PROP P t" "x = t" + then show "PROP P x" by simp +qed + +lemma meta_onepoint2: "(\x. t = x \ PROP P x) \ PROP P t" +proof + assume R: "\x. t = x \ PROP P x" + show "PROP P t" by (rule R [OF refl]) +next + fix x assume "PROP P t" "t = x" + then show "PROP P x" by simp +qed + +lemmas meta_onepoint = meta_onepoint1 meta_onepoint2 + +text {* + Note: only works with formulae like + @{term "\x z y. y = t \ P y \ Q y"} + but not + @{term "\x y z. P y \ y = t \ Q y"} + Solution: reorder quantifiers and premises +*} + +ML {* +Simplifier.rewrite + (HOL_basic_ss addsimps @{thms meta_onepoint}) + @{cterm "\x z y. y = t \ P y \ Q y"} +*} + +ML {* +Simplifier.rewrite + (HOL_basic_ss addsimps @{thms meta_onepoint}) + @{cterm "\x y z. P y \ y = t \ Q y"} +*} + +text {* Move parameters to the right *} + +ML {* +fun swap_params_conv ctxt i j cv = + let + fun conv1 0 ctxt = Conv.forall_conv (cv o snd) ctxt + | conv1 k ctxt = + Conv.rewr_conv @{thm swap_params} then_conv + Conv.forall_conv (conv1 (k-1) o snd) ctxt + fun conv2 0 ctxt = conv1 j ctxt + | conv2 k ctxt = Conv.forall_conv (conv2 (k-1) o snd) ctxt + in conv2 i ctxt end; +*} + +ML {* +swap_params_conv @{context} 2 3 (K Conv.all_conv) + @{cterm "\a b c d e f. P a b c d e f"} +*} + +text {* Move premises to the left *} + +ML {* +fun swap_prems_conv 0 = Conv.all_conv + | swap_prems_conv i = + Conv.implies_concl_conv (swap_prems_conv (i-1)) then_conv + Conv.rewr_conv Drule.swap_prems_eq +*} + +ML {* +swap_prems_conv 3 + @{cterm "A \ B \ C \ D \ E \ F"} +*} + +text {* Find out which equation to move *} + +ML {* +fun find_eq t = + let + val l = length (Logic.strip_params t); + val Hs = Logic.strip_assums_hyp t; + fun find (i, (_ $ (Const ("op =", _) $ Bound j $ _))) = SOME (i, j) + | find (i, (_ $ (Const ("op =", _) $ _ $ Bound j))) = SOME (i, j) + | find _ = NONE + in + case get_first find (map_index I Hs) of + NONE => NONE + | SOME (0, 0) => NONE + | SOME (i, j) => SOME (i, l - j - 1, j) + end; +*} + +ML {* +find_eq @{term "\x y z. P y \ y = t \ Q y"} +*} + +text {* Turn it into a simproc *} + +ML {* +fun mk_rrule ctxt ct = case find_eq (term_of ct) of + NONE => NONE + | SOME (i, k, j) => SOME (swap_params_conv ctxt k j (K (swap_prems_conv i)) ct); +*} + +ML {* +val rearrange_eqs_simproc = + Simplifier.simproc @{theory} "rearrange_eqs" ["all t"] (fn thy => fn ss => fn t => + mk_rrule (Simplifier.the_context ss) (cterm_of thy t)) +*} + +ML {* +Simplifier.rewrite + (HOL_basic_ss addsimps @{thms meta_onepoint} + addsimprocs [rearrange_eqs_simproc]) + @{cterm "\x y z. P y \ y = t \ Q y"} +*} + +subsection {* Example 2: Simplifying set comprehensions *} + +text {* + Problem: How to simplify + @{term "{(x, y, z). (x, y, z) \ S}"} + to + @{term S} +*} + +ML {* @{thm Collect_mem_eq} *} + +text {* + Note: does not work with pairs +*} + +ML {* +Simplifier.rewrite + (HOL_basic_ss addsimps @{thms Collect_mem_eq}) + @{cterm "P {x. x \ S}"} +*} + +ML {* +Simplifier.rewrite + (HOL_basic_ss addsimps @{thms Collect_mem_eq}) + @{cterm "P {(x, y). (x, y) \ S}"} +*} + +text {* + Write a simproc to prove + @{term "{(x, y). (x, y) \ S} \ S"} +*} + +lemma test: "{(x, y). (x, y) \ S} \ S" + apply (rule eq_reflection) + apply (rule subset_antisym) + apply (rule subsetI) + apply (drule CollectD) + apply (simp only: split_paired_all split_conv) + apply (rule subsetI) + apply (rule CollectI) + apply (simp only: split_paired_all split_conv) + done + +text {* The same in ML *} + +ML {* +let + val simp = full_simp_tac + (HOL_basic_ss addsimps [split_paired_all, split_conv]) 1 +in + Goal.prove @{context} [] [] + @{term "{(x, y). (x, y) \ S} \ S"} + (K (EVERY + [rtac eq_reflection 1, rtac @{thm subset_antisym} 1, + rtac subsetI 1, dtac CollectD 1, simp, + rtac subsetI 1, rtac CollectI 1, simp])) +end +*} + +ML {* +val (u, Ts, ps) = HOLogic.strip_split + @{term "\(x, y). (x, y) \ S"} +*} + +ML {* +val collect_mem_simproc = + Simplifier.simproc (theory "Set") "Collect_mem" ["Collect t"] (fn thy => fn ss => + fn S as Const ("Collect", Type ("fun", [_, T])) $ t => + let val (u, Ts, ps) = HOLogic.strip_split t + in case u of + (c as Const ("op :", _)) $ q $ S' => + (case try (HOLogic.dest_tuple' ps) q of + NONE => NONE + | SOME ts => + if not (loose_bvar (S', 0)) andalso + ts = map Bound (length ps downto 0) + then + let val simp = full_simp_tac (Simplifier.inherit_context ss + (HOL_basic_ss addsimps [split_paired_all, split_conv])) 1 + in + SOME (Goal.prove (Simplifier.the_context ss) [] [] + (Const ("==", T --> T --> propT) $ S $ S') + (K (EVERY + [rtac eq_reflection 1, rtac @{thm subset_antisym} 1, + rtac subsetI 1, dtac CollectD 1, simp, + rtac subsetI 1, rtac CollectI 1, simp]))) + end + else NONE) + | _ => NONE + end + | _ => NONE); +*} + +ML {* +Simplifier.rewrite + (HOL_basic_ss addsimps @{thms Collect_mem_eq} + addsimprocs [collect_mem_simproc]) + @{cterm "P {(x, y). (x, y) \ S}"} +*} + +end diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/ExampleConstruction.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/ExampleConstruction.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,153 @@ +theory IndExamples +imports Main +begin + +section {* Transitive Closure *} + +text {* + Introduction rules: + @{term "trcl R x x"} + @{term "R x y \ trcl R y z \ trcl R x z"} +*} + +definition "trcl \ \R x y. + \P. (\x. P x x) \ (\x y z. R x y \ P y z \ P x z) \ P x y" + +lemma trcl_induct: + assumes trcl: "trcl R x y" + shows "(\x. P x x) \ (\x y z. R x y \ P y z \ P x z) \ P x y" + apply (atomize (full)) + apply (cut_tac trcl) + apply (unfold trcl_def) + apply (drule spec [where x=P]) + apply assumption + done + +lemma trcl_base: "trcl R x x" + apply (unfold trcl_def) + apply (rule allI impI)+ + apply (drule spec) + apply assumption + done + +lemma trcl_step: "R x y \ trcl R y z \ trcl R x z" + apply (unfold trcl_def) + apply (rule allI impI)+ + proof - + case goal1 + show ?case + apply (rule goal1(4) [rule_format]) + apply (rule goal1(1)) + apply (rule goal1(2) [THEN spec [where x=P], THEN mp, THEN mp, + OF goal1(3-4)]) + done + qed + + + +section {* Even and Odd Numbers, Mutually Inductive *} + +text {* + Introduction rules: + @{term "even 0"} + @{term "odd m \ even (Suc m)"} + @{term "even m \ odd (Suc m)"} +*} + +definition "even \ \n. + \P Q. P 0 \ (\m. Q m \ P (Suc m)) \ (\m. P m \ Q (Suc m)) \ P n" + +definition "odd \ \n. + \P Q. P 0 \ (\m. Q m \ P (Suc m)) \ (\m. P m \ Q (Suc m)) \ Q n" + +lemma even_induct: + assumes even: "even n" + shows "P 0 \ (\m. Q m \ P (Suc m)) \ (\m. P m \ Q (Suc m)) \ P n" + apply (atomize (full)) + apply (cut_tac even) + apply (unfold even_def) + apply (drule spec [where x=P]) + apply (drule spec [where x=Q]) + apply assumption + done + +lemma odd_induct: + assumes odd: "odd n" + shows "P 0 \ (\m. Q m \ P (Suc m)) \ (\m. P m \ Q (Suc m)) \ Q n" + apply (atomize (full)) + apply (cut_tac odd) + apply (unfold odd_def) + apply (drule spec [where x=P]) + apply (drule spec [where x=Q]) + apply assumption + done + +lemma even0: "even 0" + apply (unfold even_def) + apply (rule allI impI)+ + apply assumption + done + +lemma evenS: "odd m \ even (Suc m)" + apply (unfold odd_def even_def) + apply (rule allI impI)+ + proof - + case goal1 + show ?case + apply (rule goal1(3) [rule_format]) + apply (rule goal1(1) [THEN spec [where x=P], THEN spec [where x=Q], + THEN mp, THEN mp, THEN mp, OF goal1(2-4)]) + done + qed + +lemma oddS: "even m \ odd (Suc m)" + apply (unfold odd_def even_def) + apply (rule allI impI)+ + proof - + case goal1 + show ?case + apply (rule goal1(4) [rule_format]) + apply (rule goal1(1) [THEN spec [where x=P], THEN spec [where x=Q], + THEN mp, THEN mp, THEN mp, OF goal1(2-4)]) + done + qed + + + +section {* Accessible Part *} + +text {* + Introduction rules: + @{term "(\y. R y x \ accpart R y) \ accpart R x"} +*} + +definition "accpart \ \R x. \P. (\x. (\y. R y x \ P y) \ P x) \ P x" + +lemma accpart_induct: + assumes acc: "accpart R x" + shows "(\x. (\y. R y x \ P y) \ P x) \ P x" + apply (atomize (full)) + apply (cut_tac acc) + apply (unfold accpart_def) + apply (drule spec [where x=P]) + apply assumption + done + +lemma accpartI: "(\y. R y x \ accpart R y) \ accpart R x" + apply (unfold accpart_def) + apply (rule allI impI)+ + proof - + case goal1 + note goal1' = this + show ?case + apply (rule goal1'(2) [rule_format]) + proof - + case goal1 + show ?case + apply (rule goal1'(1) [OF goal1, THEN spec [where x=P], + THEN mp, OF goal1'(2)]) + done + qed + qed + +end diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/FH-ex.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/FH-ex.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,152 @@ +theory Examples +imports Complex_Main Lattice_Syntax +begin + +section {* Fundamental Isabelle types + and statically embedded logical entities *} + +text {* Example 1 *} + +lemmas latticify = inf_set_eq [symmetric] sup_set_eq [symmetric] + (*bot_set_eq [symmetric]*) (*top_set_eq [symmetric]*) + Inf_set_eq [symmetric] Sup_set_eq [symmetric] + +ML {* +val latticify = MetaSimplifier.rewrite_rule + (map Simpdata.mk_eq @{thms latticify}) +*} + +thm Diff_Int_distrib + +ML {* +latticify @{thm Diff_Int_distrib} +*} + +text {* Example 2 *} + +ML {* + @{term "{ f x | x. P x }"} +*} + +ML {* + case @{term "{ f x | x. P x }"} + of _ $ Abs (_, _, t) => t +*} + + +section {* Passing states and accumulating results *} + +text {* Example 3 *} + +(*local_setup {* fn lthy => + snd (LocalTheory.define Thm.definitionK + ((@{binding identity}, NoSyn), + ((@{binding indentity_def}, []), @{term "\x\'a. x"})) lthy) +*}*) + +print_theorems + +text {* Example 4 *} + +local_setup {* fn lthy => lthy + |> LocalTheory.define Thm.definitionK + ((@{binding identity}, NoSyn), + ((@{binding indentity_def}, []), @{term "\x\'a. x"})) + |> snd +*} + +text {* Example 5 *} + +term "(default, distinct)" + +setup {* fn thy => + thy + |> fold (Sign.add_const_constraint) + [(@{const_name default}, SOME @{typ "'a::type"}), + (@{const_name distinct}, SOME @{typ "'a::eq list \ bool"})] +*} + +term "(default, distinct)" + +text {* Example 6 *} + +local_setup {* fn lthy => +let + fun mk_dummy_var v = ("", TFree (v, @{sort type})); + fun mk_proj i = ("proj_" ^ string_of_int i, + list_abs (map mk_dummy_var (Name.invent_list [] "'a" i), Bound 0)); + val projs = map mk_proj (1 upto 9); +in + lthy + |> fold_map (fn (bname, t) => LocalTheory.define Thm.definitionK + ((Binding.name bname, NoSyn), + ((Binding.name (Thm.def_name bname), []), t))) + projs + |-> (fn defs => LocalTheory.note Thm.lemmaK + ((@{binding proj_fold}, []), map (symmetric o snd o snd) defs)) + |> snd +end +*} + +print_theorems + + +section {* Managing generic data *} + +ML {* +signature REWRITER = +sig + val add: thm -> Context.generic -> Context.generic + val del: thm -> Context.generic -> Context.generic + val rewrite: Context.generic -> conv +end +*} + +ML {* +structure Rewriter : REWRITER = +struct + +structure Data = GenericDataFun( +struct + type T = thm list; + val empty = []; + fun merge _ = Thm.merge_thms; + val extend = I; +end); + +fun add thm = Data.map (Thm.add_thm thm); +fun del thm = Data.map (Thm.del_thm thm); + +fun rewrite ctxt = MetaSimplifier.rewrite false + (map Simpdata.mk_eq (Data.get ctxt)); + +end +*} + +attribute_setup rewrite = + {* Scan.succeed (Thm.declaration_attribute Rewriter.add) *} + "" + +method_setup rewrite = + {* Scan.state >> (fn ctxt => + K (SIMPLE_METHOD' (CONVERSION (Rewriter.rewrite ctxt)))) *} + "" + +lemma "A \ B = \{A, B}" +proof - + note latticify [symmetric, rewrite] + show ?thesis + apply rewrite + apply simp + done +qed + +lemma "A \ B = A \ B" +proof - + show ?thesis + apply rewrite + oops + +section {* For your amusement *} + +end diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/FI-Ex.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/FI-Ex.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,264 @@ +theory Ex +imports Main +begin + +section {* Sledgehammer *} +lemma "inj f ==> inj g ==> inj (f o g)" +sledgehammer e +apply (metis comp_inj_on inj_on_inverseI inv_f_eq top_set_eq) done + + + + +section {* Threads in ML *} + +text {* some helper functions *} + +ML {* fun sleep time = OS.Process.sleep (Time.fromSeconds time) *} +ML {* sleep 5 *} + +ML {* val count = ref 0 *} +ML {* +fun slow_inc name time = + let + val a = !count + val _ = sleep time + val result = a + 1 + val _ = count := result + in + priority (name ^ ": " ^ string_of_int result) + end +*} +ML {* slow_inc "incremented" 10 *} + +ML {* SimpleThread.fork *} +ML {* +SimpleThread.fork true (fn () => + slow_inc "parallel counter" 10) +*} + + + + +section {* Synchronization *} + +text{* Example: lost update *} +ML {* +count := 0; + +SimpleThread.fork true (fn () => + slow_inc "counter1" 10); + +SimpleThread.fork true (fn () => + slow_inc "counter2" 10) +*} + + + + +subsection {* pthreads-primitives *} + +text {* functions for mutexes *} +ML {* Mutex.mutex *} +ML {* Mutex.lock *} +ML {* Mutex.unlock *} + +ML {* +(* protecting count *) +val mutex = Mutex.mutex() +*} + +ML {* +fun fork_inc name time = + SimpleThread.fork true (fn () => + let + val _ = Mutex.lock mutex + val _ = slow_inc name time + val _ = Mutex.unlock mutex + in () end); +*} + +ML {* +fork_inc "A" 5; +fork_inc "B" 5; +*} + +text {* CAUTION: mutex stays locked after interrupt! *} +ML {* fork_inc "C" 10000 *} +ML {* SimpleThread.interrupt it *} +ML {* fork_inc "D" 1 *} +ML {* Mutex.unlock mutex (* actually undefined behaviour!! *) *} + + + + +text {* Condition Variables *} +ML {* +val mutex = Mutex.mutex() +val cond = ConditionVar.conditionVar() +val state = ref 0 +*} + +text {* double state when signalled *} +ML {* +SimpleThread.fork true (fn () => + let + val _ = Mutex.lock mutex + val _ = ConditionVar.wait (cond, mutex) + val _ = state := (!state) * 2 + val _ = sleep 1 + val _ = priority ("Changed to: " ^ string_of_int (!state)) + val _ = Mutex.unlock mutex + in () end) +*} + +text {* change state and signal condition variable*} +ML {* Mutex.lock mutex *} +ML {* state := 21 *} +ML {* ConditionVar.signal cond *} +ML {* Mutex.unlock mutex*} + + + + +subsection{* Isabelle/ML combinators*} + +ML {* SimpleThread.synchronized *} + +text {* protect count *} +ML {* +fun fork_inc_safe name time = + SimpleThread.fork true (fn () => + SimpleThread.synchronized name mutex (fn () => + slow_inc name time)) +*} + +ML {* val e = fork_inc_safe "E" 10000 *} +ML {* SimpleThread.interrupt e *} +ML {* fork_inc_safe "F" 1 *} + + + + +subsection {* State Variables with synchronized access *} + +ML {* Synchronized.var *} + +ML {* val state = Synchronized.var "goods" 0 *} +ML {* Synchronized.value state *} + +text{* modifying state *} +ML {* Synchronized.change *} +ML {* Synchronized.change state (fn i => i + 1) *} +ML {* Synchronized.value state *} + +text{* change with result *} +ML {* Synchronized.change; + Synchronized.change_result *} +ML {* +val previous_state_string = + Synchronized.change_result state (fn i => + (string_of_int i, i + 1)) +*} + + +text{* change (with result) when state meets some property *} + +ML {* Synchronized.change_result; + Synchronized.guarded_access *} + + +text{* example: producer consumer *} + +ML {* Synchronized.change state (K 0) *} + +ML {* fun produce k = Synchronized.change state (fn i => i + k) *} + +ML {* +fun consume () = Synchronized.guarded_access state (fn i => + if i <= 0 + then NONE + else SOME(i - 1, i - 1)); +*} + +ML {* +fun consumer name = SimpleThread.fork true (fn () => + while true do + let + val amount = consume () + val _ = sleep 1 + in priority (name ^ " consumed; " ^ string_of_int amount ^ " left") end) +*} + +ML {* val a = consumer "A" *} +ML {* produce 3 *} +ML {* val b = consumer "B" *} +ML {* produce 4 *} + +ML {* map SimpleThread.interrupt [a,b] *} + + +text {* timeout while waiting on signal *} +ML {* Synchronized.guarded_access; + Synchronized.timed_access*} + +ML {* +fun consume_t timeout = + Synchronized.timed_access + state + (* absolute time! *) + (fn _ => SOME (Time.+ (Time.now (),Time.fromSeconds (timeout)))) + (fn i => if i <= 0 then NONE else SOME(i - 1, i - 1)) +*} + +ML {* produce 2 *} +ML {* consume_t 3 *} +ML {* consume_t 3 *} +ML {* consume_t 3 *} + + + + +section{* Thread Attributes *} + +ML {* +fun start_work () = SimpleThread.fork true (fn () => + uninterruptible (fn restore_attributes => fn () => + let + val _ = sleep 5 + val _ = priority "... initialized" + val _ = restore_attributes (fn () => + (sleep 5; priority "done work")) () + in () end) ()) +*} + +ML {* val thread = start_work () *} +ML {* SimpleThread.interrupt thread *} + + + + +section{* External processes *} + +ML {* system_out *} + +ML {* val bash_script = "sleep 10; echo woke up" *} +ML {* system_out bash_script *} + +ML {* val bash_script = "while [ 0 ]; do x=$x; done" *} +ML {* +val thread = SimpleThread.fork true (fn () => + let val _ = system_out bash_script + in () end) +*} +ML {*SimpleThread.interrupt thread*} + + +ML {* val path_to_isabelle = Path.explode "~~/bin/isabelle" *} + +text {* File in File.shell_path (spaces!) *} +ML {* val command = File.shell_path path_to_isabelle ^ " version" *} +ML {* system_out command *} + +end + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/FI-slides.pdf Binary file Nominal/activities/tphols09/IDW/FI-slides.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/InductiveInternals.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/InductiveInternals.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,189 @@ +theory InductiveInternals +imports Main +begin + +section {* Parsing *} + +ML {* +fun parse p s = + Scan.finite OuterLex.stopper (Scan.error (OuterParse.!!! p)) + (filter OuterLex.is_proper (OuterSyntax.scan Position.none s)); +*} + +ML {* +local structure P = OuterParse and K = OuterKeyword in + +val ind_parser = + P.fixes -- P.for_fixes -- + Scan.optional (P.$$$ "where" |-- + P.!!! (P.enum1 "|" (SpecParse.opt_thm_name ":" -- P.prop))) []; + +end; +*} + +ML {* +parse ind_parser +"even and odd \ +\where\ +\ even0: \"even 0\"\ +\| evenS: \"odd n \ even (Suc n)\"\ +\| oddS: \"even n \ odd (Suc n)\"" +*} + +ML {* +val (((preds_syn, params_syn), intro_srcs), []) = +parse ind_parser +"accpart for r :: \"'a \ 'a \ bool\"\ +\where\ +\ accpartI: \"(\y. r y x \ accpart r y) \ accpart r x\"" +*} + + +section {* Reading the Specification *} + +ML {* +val lthy = TheoryTarget.context "-" @{theory} +*} + +ML {* +val ((vars, intrs), _) = Specification.read_spec + (preds_syn @ params_syn) intro_srcs lthy; +val (preds_syn, params_syn') = chop (length preds_syn) vars +val params = map fst params_syn'; +*} + + +section {* Making the definition *} + +ML {* +val params' = map (fn (p, T) => Free (Binding.name_of p, T)) params; +val preds = map (fn ((R, T), _) => + list_comb (Free (Binding.name_of R, T), params')) preds_syn; +val Tss = map (binder_types o fastype_of) preds; + +val intrs' = map + (ObjectLogic.atomize_term (ProofContext.theory_of lthy) o snd) intrs; +*} + +ML {* +fun mk_all x P = HOLogic.all_const (fastype_of x) $ lambda x P; +*} + +ML {* +val (defs, lthy1) = fold_map (fn ((((R, _), syn), pred), Ts) => + let val zs = map Free (Variable.variant_frees lthy intrs' + (map (pair "z") Ts)) + in + LocalTheory.define Thm.internalK + ((R, syn), (Attrib.empty_binding, fold_rev lambda (params' @ zs) + (fold_rev mk_all preds (fold_rev (curry HOLogic.mk_imp) + intrs' (list_comb (pred, zs)))))) #>> snd #>> snd + end) (preds_syn ~~ preds ~~ Tss) lthy; +*} + +ML {* +val (_, lthy2) = Variable.add_fixes + (map (Binding.name_of o fst) params) lthy1; +*} + + +section {* Proving the induction rules *} + +ML {* +val (Pnames, lthy3) = + Variable.variant_fixes (replicate (length preds) "P") lthy2; +val Ps = map (fn (s, Ts) => Free (s, Ts ---> HOLogic.boolT)) + (Pnames ~~ Tss); +val cPs = map (cterm_of (ProofContext.theory_of lthy3)) Ps; +val intrs'' = map (subst_free (preds ~~ Ps) o snd) intrs; +*} + +ML {* +fun inst_spec ct = Drule.instantiate' + [SOME (ctyp_of_term ct)] [NONE, SOME ct] spec; +*} + +ML {* +fun prove_indrule ((R, P), Ts) = + let + val (znames, lthy4) = + Variable.variant_fixes (replicate (length Ts) "z") lthy3; + val zs = map Free (znames ~~ Ts) + in + Goal.prove lthy4 [] + [HOLogic.mk_Trueprop (list_comb (R, zs))] + (Logic.list_implies (intrs'', + HOLogic.mk_Trueprop (list_comb (P, zs)))) + (fn {prems, ...} => EVERY + ([ObjectLogic.full_atomize_tac 1, + cut_facts_tac prems 1, + rewrite_goals_tac defs] @ + map (fn ct => dtac (inst_spec ct) 1) cPs @ + [assume_tac 1])) |> + singleton (ProofContext.export lthy4 lthy1) + end; +*} + +ML {* +val indrules = map prove_indrule (preds ~~ Ps ~~ Tss); +*} + + +section {* Proving the introduction rules *} + +ML {* +val all_elims = fold (fn ct => fn th => th RS inst_spec ct); +val imp_elims = fold (fn th => fn th' => [th', th] MRS mp); +*} + +ML {* +fun show_thms ctxt s ths = warning (s ^ ":\n" ^ + Pretty.string_of (Pretty.chunks (map (Display.pretty_thm ctxt) ths))); + +fun show_cterms ctxt s cts = warning (s ^ ":\n" ^ + Pretty.string_of (Pretty.list "[" "]" + (map (Syntax.pretty_term ctxt o term_of) cts))); +*} + +ML {* +fun prove_intr (i, (_, r)) = + Goal.prove lthy2 [] [] r + (fn {prems, context = ctxt} => EVERY + [ObjectLogic.rulify_tac 1, + rewrite_goals_tac defs, + REPEAT (resolve_tac [allI, impI] 1), + SUBPROOF (fn {params, prems, context = ctxt', ...} => + let + val (prems1, prems2) = + chop (length prems - length intrs) prems; + val _ = show_thms ctxt' "prems1" prems1; + val _ = show_thms ctxt' "prems2" prems2; + val (params1, params2) = + chop (length params - length preds) (map snd params) + val _ = show_cterms ctxt' "params1" params1; + val _ = show_cterms ctxt' "params2" params2; + in + rtac (ObjectLogic.rulify + (all_elims params1 (nth prems2 i))) 1 THEN + EVERY (map (fn prem => + SUBPROOF (fn {prems = prems', concl, context = ctxt'', ...} => + let + val prem' = prems' MRS prem; + val prem'' = case prop_of prem' of + _ $ (Const (@{const_name All}, _) $ _) => + prem' |> all_elims params2 |> + imp_elims prems2 + | _ => prem' + val _ = show_thms ctxt'' "prem" [prem]; + val _ = show_thms ctxt'' "prem'" [prem']; + val _ = show_thms ctxt'' "prem''" [prem'']; + in rtac prem'' 1 end) ctxt' 1) prems1) + end) ctxt 1]) |> + singleton (ProofContext.export lthy2 lthy1); +*} + +ML {* +val intr_ths = map_index prove_intr intrs; +*} + +end diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/Inductive_Examples.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/Inductive_Examples.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,92 @@ +theory Inductive_Examples +imports Simple_Inductive_Package +begin + +section {* Transitive closure *} + +simple_inductive + trcl for r :: "'a \ 'a \ bool" +where + base: "trcl r x x" +| step: "trcl r x y \ r y z \ trcl r x z" + +thm trcl_def +thm trcl.induct +thm base +thm step +thm trcl.intros + +lemma trcl_strong_induct: + assumes trcl: "trcl r x y" + and I1: "\x. P x x" + and I2: "\x y z. P x y \ trcl r x y \ r y z \ P x z" + shows "P x y" +proof - + from trcl + have "P x y \ trcl r x y" + proof induct + case (base x) + from I1 and trcl.base show ?case .. + next + case (step x y z) + then have "P x y" and "trcl r x y" by simp_all + from `P x y` `trcl r x y` `r y z` have "P x z" + by (rule I2) + moreover from `trcl r x y` `r y z` have "trcl r x z" + by (rule trcl.step) + ultimately show ?case .. + qed + then show ?thesis .. +qed + + +section {* Even and odd numbers *} + +simple_inductive + even and odd +where + even0: "even 0" +| evenS: "odd n \ even (Suc n)" +| oddS: "even n \ odd (Suc n)" + +thm even_def odd_def +thm even.induct odd.induct +thm even0 +thm evenS +thm oddS +thm even_odd.intros + + +section {* Accessible part *} + +simple_inductive + accpart for r :: "'a \ 'a \ bool" +where + accpartI: "(\y. r y x \ accpart r y) \ accpart r x" + +thm accpart_def +thm accpart.induct +thm accpartI + + +section {* Accessible part in locale *} + +locale rel = + fixes r :: "'a \ 'a \ bool" + +simple_inductive (in rel) accpart' +where + accpartI': "\x. (\y. r y x \ accpart' y) \ accpart' x" + +context rel +begin + +thm accpartI' +thm accpart'.induct + +end + +thm rel.accpartI' +thm rel.accpart'.induct + +end diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/MW-Ex1.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/MW-Ex1.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,29 @@ +theory Ex1 +imports Main +begin + +section {* ML tactics as (crude) methods *} + +lemma True +proof + + assume a: A + assume b: B + + have "A & B" + apply (tactic {* rtac @{thm conjI} 1 *}) + using a + apply (tactic {* resolve_tac facts 1 *}) + using b + apply (tactic {* resolve_tac facts 1 *}) + done + + have "A & B" + using a b + apply (tactic {* Method.insert_tac facts 1 *}) + apply (tactic {* (rtac @{thm conjI} THEN_ALL_NEW atac) 1 *}) + done + +qed + +end diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/MW-Ex2.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/MW-Ex2.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,75 @@ +theory Ex2 +imports Main +begin + +section {* Simple methods *} + +ML Method.setup +ML SIMPLE_METHOD' +ML SIMPLE_METHOD + +method_setup my_method1 = {* + Scan.succeed (K (SIMPLE_METHOD' (fn i: int => no_tac))) +*} "" + +method_setup my_method2 = {* + Scan.succeed (fn ctxt: Proof.context => + SIMPLE_METHOD' (fn i: int => no_tac)) +*} "" + +method_setup my_method3 = {* + Attrib.thms >> (fn thms: thm list => fn ctxt: Proof.context => + SIMPLE_METHOD' (fn i: int => no_tac)) +*} "" + + +section {* My simplification method *} + +ML {* +structure My_Simps = NamedThmsFun +( + val name = "my_simp"; + val description = "My simp declaration"; +) +*} +setup My_Simps.setup + +method_setup my_simp = {* + Scan.succeed (fn ctxt => + SIMPLE_METHOD' (fn i => + CHANGED (asm_full_simp_tac + (HOL_basic_ss addsimps (My_Simps.get ctxt)) i))) +*} "" + +lemma True +proof + + fix a b c + assume [my_simp]: "a = b" + assume [my_simp]: "b = c" + have "a = c" by my_simp + +qed + + +method_setup my_simp_all = {* + Scan.succeed (fn ctxt => + SIMPLE_METHOD + (CHANGED + (ALLGOALS (asm_full_simp_tac + (HOL_basic_ss addsimps (My_Simps.get ctxt)))))) +*} "" + + +lemma True +proof + + fix a b c + assume [my_simp]: "a = b" + assume [my_simp]: "b = c" + have "a = c" and "c = b" by my_simp_all + +qed + + +end diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/MW-Ex3.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/MW-Ex3.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,142 @@ +theory Ex1 +imports Main +begin + +lemma True +proof + + subsect {* Basic context elements *} + + { + fix x + have "B x" sorry + } + thm this + + { + assume A + have B sorry + } + thm this + + { + def x == a + have "B x" sorry + } + thm this + + { + obtain a where "B a" sorry + have C sorry + } + thm this + + + subsect {* Contexts vs. rules *} + + { + fix A B + fix x :: 'a + assume "A x" + have "B x" sorry + } + note r = this + + { + ML_prf {* val ctxt = @{context} *} + ML_prf {* val (((Ts, ts), [th']), ctxt') = + Variable.import_thms true [@{thm r}] ctxt *} + } + +qed + + +section {* Building up contexts in ML *} + +subsection {* Variables *} + +lemma True +proof + + ML_prf {* val ctxt0 = @{context} *} + ML_prf {* val (xs, ctxt1) = ctxt0 |> Variable.add_fixes ["x", "y", "z"] *} + ML_prf {* val t = Syntax.read_term ctxt1 "(x::nat) = y + z" *} + ML_prf {* val ctxt2 = ctxt1 |> Variable.declare_term t *} + ML_prf {* Syntax.read_term ctxt2 "x" *} + +qed + +ML {* val ctxt0 = @{context} *} +ML {* val (xs, ctxt1) = ctxt0 |> Variable.add_fixes ["x", "y", "z"] *} +ML {* val (xs, ctxt1) = ctxt0 |> Variable.variant_fixes ["x", "y", "z"] *} + +ML {* Variable.focus (Thm.cprem_of @{thm exE} 2) @{context} *} + + +subsection {* Assumptions *} + +lemma True +proof + +ML_prf {* val ctxt0 = @{context} *} +ML_prf {* + val (asms, ctxt1) = ctxt0 + |> Assumption.add_assumes [@{cprop "x = y"}, @{cprop "y = z"}] +*} +ML_prf {* Assumption.export false ctxt1 ctxt0 (@{thm trans} OF asms) *} + + +ML_prf {* val ctxt0 = @{context} *} +ML_prf {* val (_, ctxt1) = ctxt0 |> Variable.add_fixes ["x", "y", "z"] *} +ML_prf {* val ts = Syntax.read_props ctxt1 ["x = y", "y = z"] *} +ML_prf {* val ctxt2 = ctxt1 |> fold Variable.declare_term ts *} + +ML_prf {* + val (asms, ctxt3) = + ctxt2 + |> Assumption.add_assumes (map (cterm_of (ProofContext.theory_of ctxt2)) ts) +*} +ML_prf {* Assumption.export false ctxt3 ctxt0 (@{thm trans} OF asms) *} +ML_prf {* ProofContext.export ctxt3 ctxt0 [@{thm trans} OF asms] *} + +qed + + +subsection {* Local definitions (non-polymorphic) *} + +lemma True +proof + fix x y z :: nat + + ML_prf {* val ctxt0 = @{context} *} + ML_prf {* val ((a, a_def), ctxt1) = + ctxt0 |> LocalDefs.add_def ((@{binding a}, NoSyn), @{term "x + y"}) + *} + ML_prf {* val ((b, b_def), ctxt2) = + ctxt1 |> LocalDefs.add_def ((@{binding b}, NoSyn), @{term "y + z"}) + *} + + ML_prf {* + Goal.prove ctxt2 [] [] (Syntax.read_prop ctxt2 "a + b = x + 2 * y + z") + (fn _ => asm_full_simp_tac (local_simpset_of ctxt2 addsimps [a_def, b_def]) 1) + *} + +qed + + +subsection {* Local elimination *} + +lemma True +proof + assume ex: "EX x. B x" + + ML_prf {* val ctxt0 = @{context} *} + ML_prf {* val (([x], [B]), ctxt1) = ctxt0 + |> Obtain.result (fn _ => etac @{thm exE} 1) @{thms ex} *} + ML_prf {* + ProofContext.export ctxt1 ctxt0 [Thm.reflexive x] + handle ERROR msg => (warning msg; []) *} + +qed + +end diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/MW-Ex4.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/MW-Ex4.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,19 @@ +theory Ex2 +imports Main +begin + +section {* Proof context data *} + +ML {* + structure My_Data = ProofDataFun(type T = int * string fun init _ = (2, "foo")) +*} + +ML {* My_Data.get @{context} *} + +ML {* val ctxt0 = @{context} *} +ML {* val ctxt1 = ctxt0 |> My_Data.map (fn (i, s) => (i + 1, s ^ "o")) *} +ML {* val ctxt2 = ctxt1 |> My_Data.map (fn (i, s) => (i + 1, s ^ "o")) *} + +ML {* My_Data.get ctxt2 *} + +end diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/MW-Ex5.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/MW-Ex5.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,84 @@ +header {* Local theory specifications *} + +theory Ex1 +imports Main +begin + +section {* Target context *} + +locale NAT = + fixes zero :: 'n + and succ :: "'n \ 'n" + assumes succ_inject: "(succ m = succ n) \ (m = n)" + and succ_neq_zero: "succ m \ zero" + and induct "P zero \ (\n. P n \ P (succ n)) \ P n" +begin + + +section {* Some definitions *} + +ML {* val lthy = @{context} *} + +ML {* val ((one, (_, one_def)), lthy1) = lthy |> LocalTheory.define "" + ((@{binding one}, NoSyn), (Attrib.empty_binding, @{term "succ zero"})) *} + +ML {* val ((two, (_, two_def)), lthy2) = lthy1 |> LocalTheory.define "" + ((@{binding two}, NoSyn), (Attrib.empty_binding, @{term "succ one"})) *} + +ML {* val export = singleton (ProofContext.export lthy2 (LocalTheory.target_of lthy2)) *} +ML {* export one_def *} +ML {* export two_def *} + +ML {* val global_export = + singleton (ProofContext.export lthy2 (ProofContext.init (ProofContext.theory_of lthy2))) *} +ML {* global_export one_def *} +ML {* global_export two_def *} + + +definition "one = succ zero" +definition "two = succ one" + + +section {* Proofs *} + +lemma "succ one = two" by (simp add: one_def two_def) + +ML {* + val lthy = @{context}; + + val th = + Goal.prove lthy [] [] @{prop "succ one = two"} + (fn _ => asm_full_simp_tac + (local_simpset_of lthy addsimps [@{thm one_def}, @{thm two_def}]) 1); + + LocalTheory.note "" ((@{binding ex1}, []), [th]) lthy; +*} + +local_setup {* fn lthy => + let + val th = + Goal.prove lthy [] [] @{prop "succ one = two"} + (fn _ => asm_full_simp_tac + (local_simpset_of lthy addsimps [@{thm one_def}, @{thm two_def}]) 1); + in lthy |> LocalTheory.note "" ((@{binding ex1}, []), [th]) |> #2 end +*} + +thm ex1 + + +section {* Derived definitional mechamisms *} + +inductive + Rec :: "'a \ ('n \ 'a \ 'a) \ 'n \ 'a \ bool" + for e :: 'a and r :: "'n \ 'a \ 'a" +where + Rec_zero: "Rec e r zero e" + | Rec_succ: "Rec e r m n \ Rec e r (succ m) (r m n)" + +thm Rec_def Rec.induct + +end + +thm NAT.Rec_def NAT.Rec.induct + +end diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/MW-Ex6.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/MW-Ex6.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,51 @@ +header {* Local theory data *} + +theory Ex2 +imports Main +begin + +ML {* + structure My_Rules = + NamedThmsFun(val name = "my_rule" val description = "My collection of rules") +*} +setup My_Rules.setup + +ML {* + fun declare_my_rule th phi context = + My_Rules.add_thm (Morphism.thm phi th) context +*} + +locale foo = + fixes x y z :: nat + assumes 1: "x \ y" and 2: "y \ z" and 3: "x \ z" +begin + +declaration {* declare_my_rule @{thm 1} *} +declaration {* declare_my_rule @{thm 2} *} +declaration {* declare_my_rule @{thm 3} *} + +ML {* My_Rules.get @{context} *} + +end + +ML {* My_Rules.get @{context} *} + +interpretation bar: foo 7 42 1 by unfold_locales simp_all + +ML {* My_Rules.get @{context} *} + +thm my_rule + + +lemma True +proof + fix a b c d :: nat + assume *: "distinct [a, b, c, d]" + interpret foo a b c using * by unfold_locales simp_all + interpret foo b c d using * by unfold_locales simp_all + + ML_prf {* My_Rules.get @{context} *} + +qed + +end \ No newline at end of file diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/MW-ex.scala --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/MW-ex.scala Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,98 @@ +/** Isabelle System **/ + +val sys = new isabelle.IsabelleSystem + + +/* Isabelle settings environment */ + +sys.getenv("ISABELLE_HOME") +sys.getenv("ISABELLE_PATH") + + +/* Isabelle tools */ + +sys.isabelle_tool() +sys.isabelle_tool("doc") +sys.isabelle_tool("doc", "system") + + +sys.find_logics + + +/* Isabelle symbols */ + +val symbols = sys.symbols +val s1 = symbols.decode("""\x. x \ A --> x \ B""") +val s2 = symbols.encode(s1) + + + +/** Isabelle Process **/ + +/* demo command loop */ + +val p = new isabelle.IsabelleProcess + +p.command("theory A imports Main begin") +p.command(""" lemma "A --> A" """) +p.command("..") +p.command("end") + +p.close + + +val p = new isabelle.IsabelleProcess + +p.ML("fun f 0 = 1 | f n = n * f (n - 1)") +p.ML("f 1000") + +p.ML("OS.Process.sleep (Time.fromSeconds 10)"); +p.interrupt + + +/* receiving messages */ + +import isabelle._ +import scala.actors._ + +def self_receiver(): EventBus[IsabelleProcess.Result] = { + val self = Actor.self + new EventBus[IsabelleProcess.Result] + (result => self ! result) +} + +def receive(): Option[IsabelleProcess.Result] = { + Actor.self.receiveWithin(100) { + case TIMEOUT => None + case result: IsabelleProcess.Result => Some(result) + } +} + +val p = new IsabelleProcess(new IsabelleSystem, self_receiver()) + +p.command("theory A imports Main begin") +p.command(""" term "x + y" """) +p.ML(""" tracing (Syntax.string_of_term @{context} @{term "x + y"}) """) + + + +/** basic document model **/ + +import isabelle._ + +val p = new IsabelleProcess with IsarDocument + +p.define_command("1", "theory A imports Main begin") +p.define_command("2", "lemma \"A --> A\"") +p.define_command("3", "..") +p.define_command("4", "end") + +p.begin_document("doc1", "A.thy") +p.edit_document("doc1", "doc2", + List(("doc1", Some("1")), ("1", Some("2")), ("2", Some("3")), ("3", Some("4")))) + +p.edit_document("doc2", "doc3", List(("2", None))) +p.edit_document("doc3", "doc4", List(("1", None))) +p.edit_document("doc4", "doc5", List(("1", Some("2")), ("2", Some("3")))) + +p.end_document("doc5") + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/MW-slides.pdf Binary file Nominal/activities/tphols09/IDW/MW-slides.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/MW-slides2.pdf Binary file Nominal/activities/tphols09/IDW/MW-slides2.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/MW-slides3.pdf Binary file Nominal/activities/tphols09/IDW/MW-slides3.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/MW-slides4.pdf Binary file Nominal/activities/tphols09/IDW/MW-slides4.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/SB-Calc.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/SB-Calc.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,412 @@ +theory Calc +imports Main +begin + + +section {* A Simple Calculator *} + +text {* + +Task: Write a calculator which behaves as follows: + + calc "ADD 1 2" = 3 + + calc "SUM 1 2 3" = 6 + + cal "LET x 3 IN ADD x 1" = 4 + +*} + + + + + + +subsection {* A Parser Primer *} + + +(* 'a -> 'b *) + +(* 'a -> 'b * 'c *) + + + +(* string list -> 'a * string list *) + + + +(* FAIL *) + +(* MORE *) + +(* ABORT *) + + + + + +subsection {* Lexer: From a String to a Token List *} + + + +ML {* +datatype token = + Keyword of string | + Number of int | + Variable of string | + Space | + End +*} + + +ML {* Scan.many1 *} +ML {* +val keyword = Scan.many1 Symbol.is_ascii_upper +*} + +ML {* keyword (explode "AND 1 2") *} + +ML {* try keyword (explode "AND") *} + +ML {* try keyword (explode " AND") *} + + + +ML {* +val keyword = Scan.many1 Symbol.is_ascii_upper >> + (Keyword o implode) +*} + +ML {* op >> *} + + +ML {* keyword (explode "AND 1 2") *} + + + +ML {* +val variable = Scan.many1 Symbol.is_ascii_lower >> + (Variable o implode) + +val space = Scan.many1 Symbol.is_ascii_blank >> K Space +*} + + + +ML {* +fun int_of d = ord d - ord "0" + +fun join_digits ds = + fold (fn d => fn i => 10 * i + int_of d) ds 0 + +val number = Scan.many1 Symbol.is_ascii_digit >> + (Number o join_digits) +*} + + + +ML {* +val tokens = Scan.bulk + (keyword || variable || number || space) +*} + +ML {* op || *} + +ML {* Scan.bulk *} + + +ML {* tokens (explode "ADD 1 2") *} + + + +ML {* +fun lex str = + explode str + |> these o Scan.read Symbol.stopper tokens + |> filter_out (fn Space => true | _ => false) +*} + +ML {* Scan.read *} + + +ML {* lex "ADD 1 2" *} + +ML {* lex "SUM 1 2 3" *} + +ML {* lex "LET x 3 IN ADD x 1" *} + +ML {* lex "ADD 1 (ADD 2 3)" *} + +ML {* tokens (explode "ADD (ADD 1 2) 3") *} + + + + + +subsection {* Lexer: Error Handling *} + +ML {* Scan.!! *} + + +ML {* +val token = keyword || variable || number || space + +fun bad_input s = "Unexpected symbol: " ^ quote s +fun lex_err (xs, _) = bad_input (hd xs) + +val tokens = Scan.!! lex_err (Scan.bulk token) +*} + + +ML {* tokens (explode "ADD (ADD 1 2) 3") *} + +ML {* +let + fun lex1 str = + explode str + |> Scan.read Symbol.stopper tokens +in + lex1 "ADD (ADD 1 2) 3" +end +*} +ML {* +let + fun lex2 str = + explode str + |> tokens +in + lex2 "ADD 1 2" +end +*} + + + +ML {* +fun lex str = + Source.of_string str + |> Source.source Symbol.stopper tokens NONE + |> Source.exhaust + |> filter_out (fn Space => true | _ => false) +*} + +ML {* lex "ADD 1 2" *} + +ML {* lex "SUM 1 2 3" *} + +ML {* lex "LET x 3 IN ADD x 1" *} + +ML {* try lex "ADD 1 (ADD 2 3" *} + +ML {* lex "Add 1 2" *} + + + + + +subsection {* Calculator: Basic Expressions *} + + + +ML {* +fun keyword name = Scan.one + (fn Keyword n => n = name | _ => false) +*} + +ML {* +val number = Scan.some + (fn Number n => SOME n | _ => NONE) +*} + +ML {* +val stop = Scan.one (fn t => t = End) +*} + +ML {* +fun expr st = + (number || + keyword "ADD" |-- expr -- expr >> (op +) || + keyword "SUM" |-- + Scan.unless stop (Scan.repeat expr) >> + (fn is => fold (curry (op +)) is 0)) st +*} + +ML {* +val f1 = op -- +val f2 = op |-- +val f3 = op --| +*} + +ML {* expr (lex "ADD 1 2" @ [End]) *} + +ML {* expr (lex "SUM 1 2 3" @ [End]) *} + + + +ML {* +fun calc str = + lex str @ [End] + |> expr --| stop + |> fst +*} + +ML {* calc "ADD 1 2" *} + +ML {* calc "SUM 1 2 3" *} + +ML {* calc "ADD 1 ADD 2 3" *} + +ML {* calc "ADD 1 SUM 2 3 4" *} + +ML {* calc "SUM ADD 1 2 3" *} + +ML {* try calc "ADD SUM 1 2 3" *} + +ML {* try calc "ADD 1 2 3" *} + + + + + +subsection {* Calculator: Error Handling *} + +ML {* +fun string_of_token (Keyword s) = s + | string_of_token (Variable s) = s + | string_of_token (Number n) = string_of_int n + | string_of_token _ = "end" + +fun bad_token (xs, _) = + "Unexpected token: " ^ quote (string_of_token (hd xs)) + +fun calc str = + lex str @ [End] + |> Scan.error (expr --| Scan.!! bad_token stop) + |> fst +*} + +ML {* try calc "ADD 1 2 3" *} + +ML {* try calc "ADD SUM 1 2 3" *} + +ML {* try calc "Add 0 0" *} + + + +ML {* +fun append_token msg xs = + msg ^ quote (string_of_token (hd xs)) + +val expr' = + expr || + Scan.fail_with (append_token ("Expected number, " ^ + "ADD, or SUM, instead of ")) + +val stop' = + stop || + Scan.fail_with (append_token "Unexpected token ") +*} + +ML {* +fun calc str = + lex str @ [End] + |> Scan.catch (expr' --| stop') + |> fst +*} + +ML {* try calc "ADD 0 0 1" *} + +ML {* try calc "Add 0 0" *} + +ML {* try calc "ADD SUM 1 2 3" *} + + + + + +subsection {* Calculator: Expressions with Variables *} + +ML {* +fun keyword name = Scan.lift (Scan.one + (fn Keyword n => n = name | _ => false)) + +fun number st = Scan.lift (Scan.some + (fn Number n => SOME n | _ => NONE)) st + +fun stop st = Scan.lift (Scan.one + (fn t => t = End orelse t = Keyword "IN")) st +*} + +ML {* Scan.lift *} + + + +ML {* +val variable = Scan.some + (fn Variable n => SOME n | _ => NONE) +*} + + + +ML {* +fun lookup env v = + (case Symtab.lookup env v of + SOME i => i + | _ => error ("Unbound variable " ^ quote v)) +*} + + + +ML {* +fun expr st = + (number || + + Scan.peek (fn env => variable >> lookup env) || + + keyword "LET" |-- Scan.lift variable -- expr --| + keyword "IN" :|-- + (fn b => apfst (Symtab.update b) #> expr) || + + keyword "ADD" |-- expr -- expr >> (op +) || + keyword "SUM" |-- + Scan.unless stop (Scan.repeat expr) >> + (fn is => fold (curry (op +)) is 0)) st +*} + +ML {* Scan.peek *} + +ML {* op :|-- *} + +ML {* expr (Symtab.empty, lex "LET x 1 IN x") *} + + + +ML {* +fun calc str = + lex str @ [End] + |> Scan.pass Symtab.empty (expr --| stop) + |> fst +*} + +ML {* calc "ADD 1 2" *} + +ML {* calc "ADD 1 ADD 2 3" *} + +ML {* calc "SUM 1 2 3" *} + +ML {* calc "LET x 3 IN ADD x 1" *} + +ML {* calc "LET x SUM 1 1 1 IN ADD x 7" *} + + + + + +subsection {* Possible extensions *} + +text {* +Errors with source positions: + + see Pure/General/source_pos.ML +*} + +end \ No newline at end of file diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/SB-Method.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/SB-Method.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,139 @@ +theory Method +imports Main +begin + + + +section {* A simple method *} + +ML {* +val q1_syntax = Scan.succeed +*} + +ML {* +fun q1_method ctxt = SIMPLE_METHOD' + (Simplifier.simp_tac (Simplifier.context ctxt HOL_ss)) +*} + +method_setup Q1 = {* q1_syntax q1_method *} "The Q method" + +lemma True by Q1 + + + + + +section {* Select a Subgoal *} + +ML {* +val q2_syntax = OuterParse.nat +*} + +ML {* +fun q2_method i ctxt = SIMPLE_METHOD + (Simplifier.simp_tac (Simplifier.context ctxt HOL_ss) i) +*} + +method_setup Q2 = {* Scan.lift q2_syntax >> q2_method *} + "The Q method" + +lemma "True = (True \ True)" + apply (intro iffI conjI) + apply (Q2 3) + sorry + + + + + +section {* Adding Theorems *} + +ML {* +val q3_syntax = + Scan.lift (Args.add -- Args.colon) |-- Attrib.thms +*} + +ML {* +fun q3_method thms _ = SIMPLE_METHOD' + (Tactic.resolve_tac thms) +*} + +method_setup Q3 = {* q3_syntax >> q3_method *} + "The Q method" + +lemma "t = t" by (Q3 add: refl) + + + + + +section {* Using the Context *} + +ML {* +structure Q4_Rules = NamedThmsFun +( + val name = "q4" + val description = "q4 rules" +) +*} +setup Q4_Rules.setup + +ML {* +fun q4_method ctxt = SIMPLE_METHOD' + (Tactic.resolve_tac (Q4_Rules.get ctxt)) +*} + +ML {* +Q4_Rules.add +*} + +ML {* +val q4_syntax = Method.sections [ + Args.add -- Args.colon >> K (I, Q4_Rules.add)] +*} + +method_setup Q4 = {* q4_syntax >> K q4_method *} + "The Q method" + +lemma "t = t" by (Q4 add: refl) +lemma "t = t" by (Q4 add: refl sym) +lemma "t = t" by (Q4 add: refl add: sym) + +lemma "t = t" using refl[q4] by Q4 + + + + + +section {* A Method Option *} + +ML {* +val q5_opts = Scan.optional + (Args.parens (Args.$$$ "strict" >> K true)) + false + +val q5_syntax = + Scan.lift q5_opts -- + (Method.sections [ + Args.add -- Args.colon >> K (I, Q4_Rules.add)] >> flat) +*} + +ML {* +fun q5_method (strict, thms) ctxt = + let val ths = if strict then thms else Q4_Rules.get ctxt + in SIMPLE_METHOD' (Tactic.resolve_tac ths) end +*} + +method_setup Q5 = {* q5_syntax >> q5_method *} + "The Q method" + +lemma "t = t" by (Q5 add: refl) +lemma "t = t" using refl[q4] by Q5 +(* +lemma "t = t" using refl[q4] by (Q5 (strict)) +lemma "t = t" using refl[q4] by (Q5 (strict) add: conjI) +*) +lemma "t = t" by (Q5 (strict) add: refl) + + +end \ No newline at end of file diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/Simple_Inductive_Package.thy --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/Simple_Inductive_Package.thy Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,6 @@ +theory Simple_Inductive_Package +imports Main +uses "simple_inductive_package.ML" +begin + +end diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/isar-keywords-inductive.el --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/isar-keywords-inductive.el Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,594 @@ +;; +;; Keyword classification tables for Isabelle/Isar. +;; Generated from Pure + Pure-ProofGeneral + HOL + HOLCF + IOA + HOL-Nominal + HOL-Statespace. +;; *** DO NOT EDIT *** DO NOT EDIT *** DO NOT EDIT *** +;; +;; $Id: isar-keywords.el,v 1.112 2008/02/28 16:35:17 berghofe Exp $ +;; + +(defconst isar-keywords-major + '("\\." + "\\.\\." + "Isabelle\\.command" + "ML" + "ML_command" + "ML_setup" + "ProofGeneral\\.inform_file_processed" + "ProofGeneral\\.inform_file_retracted" + "ProofGeneral\\.kill_proof" + "ProofGeneral\\.process_pgip" + "ProofGeneral\\.restart" + "ProofGeneral\\.undo" + "abbreviation" + "also" + "apply" + "apply_end" + "arities" + "assume" + "atom_decl" + "automaton" + "ax_specification" + "axclass" + "axiomatization" + "axioms" + "back" + "by" + "cannot_undo" + "case" + "cd" + "chapter" + "class" + "class_deps" + "classes" + "classrel" + "code_class" + "code_const" + "code_datatype" + "code_deps" + "code_exception" + "code_include" + "code_instance" + "code_library" + "code_module" + "code_modulename" + "code_monad" + "code_props" + "code_reserved" + "code_thms" + "code_type" + "coinductive" + "coinductive_set" + "commit" + "constdefs" + "consts" + "consts_code" + "context" + "corollary" + "cpodef" + "datatype" + "declaration" + "declare" + "def" + "defaultsort" + "defer" + "defer_recdef" + "definition" + "defs" + "disable_pr" + "display_drafts" + "domain" + "done" + "enable_pr" + "end" + "equivariance" + "exit" + "export_code" + "extract" + "extract_type" + "finalconsts" + "finally" + "find_theorems" + "fix" + "fixpat" + "fixrec" + "from" + "full_prf" + "fun" + "function" + "global" + "guess" + "have" + "header" + "help" + "hence" + "hide" + "inductive" + "inductive_cases" + "inductive_set" + "simple_inductive" + "init_toplevel" + "instance" + "instantiation" + "interpret" + "interpretation" + "invoke" + "judgment" + "kill" + "kill_thy" + "lemma" + "lemmas" + "let" + "local" + "locale" + "method_setup" + "moreover" + "next" + "no_notation" + "no_syntax" + "no_translations" + "nominal_datatype" + "nominal_inductive" + "nominal_primrec" + "nonterminals" + "normal_form" + "notation" + "note" + "obtain" + "oops" + "oracle" + "overloading" + "parse_ast_translation" + "parse_translation" + "pcpodef" + "pr" + "prefer" + "presume" + "pretty_setmargin" + "prf" + "primrec" + "print_abbrevs" + "print_antiquotations" + "print_ast_translation" + "print_atp_rules" + "print_attributes" + "print_binds" + "print_cases" + "print_claset" + "print_classes" + "print_codesetup" + "print_commands" + "print_configs" + "print_context" + "print_drafts" + "print_facts" + "print_induct_rules" + "print_interps" + "print_locale" + "print_locales" + "print_methods" + "print_noatp_rules" + "print_orders" + "print_rules" + "print_simpset" + "print_statement" + "print_syntax" + "print_theorems" + "print_theory" + "print_trans_rules" + "print_translation" + "proof" + "prop" + "pwd" + "qed" + "quickcheck" + "quickcheck_params" + "quit" + "realizability" + "realizers" + "recdef" + "recdef_tc" + "record" + "redo" + "refute" + "refute_params" + "remove_thy" + "rep_datatype" + "sect" + "section" + "setup" + "show" + "simproc_setup" + "sledgehammer" + "sorry" + "specification" + "statespace" + "subclass" + "subsect" + "subsection" + "subsubsect" + "subsubsection" + "syntax" + "term" + "termination" + "text" + "text_raw" + "then" + "theorem" + "theorems" + "theory" + "thm" + "thm_deps" + "thus" + "thy_deps" + "token_translation" + "touch_child_thys" + "touch_thy" + "translations" + "txt" + "txt_raw" + "typ" + "typed_print_translation" + "typedecl" + "typedef" + "types" + "types_code" + "ultimately" + "undo" + "undos_proof" + "unfolding" + "unused_thms" + "use" + "use_thy" + "using" + "value" + "welcome" + "with" + "{" + "}")) + +(defconst isar-keywords-minor + '("actions" + "advanced" + "and" + "assumes" + "attach" + "avoids" + "begin" + "binder" + "compose" + "concl" + "congs" + "constrains" + "contains" + "defines" + "distinct" + "file" + "fixes" + "for" + "hide_action" + "hints" + "identifier" + "if" + "imports" + "in" + "includes" + "induction" + "infix" + "infixl" + "infixr" + "initially" + "inject" + "inputs" + "internals" + "is" + "lazy" + "module_name" + "monos" + "morphisms" + "notes" + "obtains" + "open" + "otherwise" + "output" + "outputs" + "overloaded" + "permissive" + "post" + "pre" + "rename" + "restrict" + "shows" + "signature" + "states" + "structure" + "to" + "transitions" + "transrel" + "unchecked" + "uses" + "where")) + +(defconst isar-keywords-control + '("Isabelle\\.command" + "ProofGeneral\\.inform_file_processed" + "ProofGeneral\\.inform_file_retracted" + "ProofGeneral\\.kill_proof" + "ProofGeneral\\.process_pgip" + "ProofGeneral\\.restart" + "ProofGeneral\\.undo" + "cannot_undo" + "exit" + "init_toplevel" + "kill" + "quit" + "redo" + "undo" + "undos_proof")) + +(defconst isar-keywords-diag + '("ML" + "ML_command" + "cd" + "class_deps" + "code_deps" + "code_thms" + "commit" + "disable_pr" + "display_drafts" + "enable_pr" + "export_code" + "find_theorems" + "full_prf" + "header" + "help" + "kill_thy" + "normal_form" + "pr" + "pretty_setmargin" + "prf" + "print_abbrevs" + "print_antiquotations" + "print_atp_rules" + "print_attributes" + "print_binds" + "print_cases" + "print_claset" + "print_classes" + "print_codesetup" + "print_commands" + "print_configs" + "print_context" + "print_drafts" + "print_facts" + "print_induct_rules" + "print_interps" + "print_locale" + "print_locales" + "print_methods" + "print_noatp_rules" + "print_orders" + "print_rules" + "print_simpset" + "print_statement" + "print_syntax" + "print_theorems" + "print_theory" + "print_trans_rules" + "prop" + "pwd" + "quickcheck" + "refute" + "remove_thy" + "sledgehammer" + "term" + "thm" + "thm_deps" + "thy_deps" + "touch_child_thys" + "touch_thy" + "typ" + "unused_thms" + "use" + "use_thy" + "value" + "welcome")) + +(defconst isar-keywords-theory-begin + '("theory")) + +(defconst isar-keywords-theory-switch + '()) + +(defconst isar-keywords-theory-end + '("end")) + +(defconst isar-keywords-theory-heading + '("chapter" + "section" + "subsection" + "subsubsection")) + +(defconst isar-keywords-theory-decl + '("ML_setup" + "abbreviation" + "arities" + "atom_decl" + "automaton" + "axclass" + "axiomatization" + "axioms" + "class" + "classes" + "classrel" + "code_class" + "code_const" + "code_datatype" + "code_exception" + "code_include" + "code_instance" + "code_library" + "code_module" + "code_modulename" + "code_monad" + "code_props" + "code_reserved" + "code_type" + "coinductive" + "coinductive_set" + "constdefs" + "consts" + "consts_code" + "context" + "datatype" + "declaration" + "declare" + "defaultsort" + "defer_recdef" + "definition" + "defs" + "domain" + "equivariance" + "extract" + "extract_type" + "finalconsts" + "fixpat" + "fixrec" + "fun" + "global" + "hide" + "inductive" + "inductive_set" + "simple_inductive" + "instantiation" + "judgment" + "lemmas" + "local" + "locale" + "method_setup" + "no_notation" + "no_syntax" + "no_translations" + "nominal_datatype" + "nonterminals" + "notation" + "oracle" + "overloading" + "parse_ast_translation" + "parse_translation" + "primrec" + "print_ast_translation" + "print_translation" + "quickcheck_params" + "realizability" + "realizers" + "recdef" + "record" + "refute_params" + "rep_datatype" + "setup" + "simproc_setup" + "statespace" + "syntax" + "text" + "text_raw" + "theorems" + "token_translation" + "translations" + "typed_print_translation" + "typedecl" + "types" + "types_code")) + +(defconst isar-keywords-theory-script + '("inductive_cases")) + +(defconst isar-keywords-theory-goal + '("ax_specification" + "corollary" + "cpodef" + "function" + "instance" + "interpretation" + "lemma" + "nominal_inductive" + "nominal_primrec" + "pcpodef" + "recdef_tc" + "specification" + "subclass" + "termination" + "theorem" + "typedef")) + +(defconst isar-keywords-qed + '("\\." + "\\.\\." + "by" + "done" + "sorry")) + +(defconst isar-keywords-qed-block + '("qed")) + +(defconst isar-keywords-qed-global + '("oops")) + +(defconst isar-keywords-proof-heading + '("sect" + "subsect" + "subsubsect")) + +(defconst isar-keywords-proof-goal + '("have" + "hence" + "interpret" + "invoke")) + +(defconst isar-keywords-proof-block + '("next" + "proof")) + +(defconst isar-keywords-proof-open + '("{")) + +(defconst isar-keywords-proof-close + '("}")) + +(defconst isar-keywords-proof-chain + '("finally" + "from" + "then" + "ultimately" + "with")) + +(defconst isar-keywords-proof-decl + '("also" + "let" + "moreover" + "note" + "txt" + "txt_raw" + "unfolding" + "using")) + +(defconst isar-keywords-proof-asm + '("assume" + "case" + "def" + "fix" + "presume")) + +(defconst isar-keywords-proof-asm-goal + '("guess" + "obtain" + "show" + "thus")) + +(defconst isar-keywords-proof-script + '("apply" + "apply_end" + "back" + "defer" + "prefer")) + +(provide 'isar-keywords) diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/package.pdf Binary file Nominal/activities/tphols09/IDW/package.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/IDW/simple_inductive_package.ML --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/IDW/simple_inductive_package.ML Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,161 @@ +signature SIMPLE_INDUCTIVE_PACKAGE = +sig + val add_inductive_i: + ((binding * typ) * mixfix) list -> + (binding * typ) list -> + (Attrib.binding * term) list -> + local_theory -> (thm list * thm list) * local_theory + val add_inductive: + (binding * string option * mixfix) list -> + (binding * string option * mixfix) list -> + (Attrib.binding * string) list -> + local_theory -> (thm list * thm list) * local_theory +end; + +structure SimpleInductivePackage: SIMPLE_INDUCTIVE_PACKAGE = +struct + +fun add_inductive_i preds_syn params intrs lthy = + let + val params' = map (fn (p, T) => Free (Binding.name_of p, T)) params; + val preds = map (fn ((R, T), _) => + list_comb (Free (Binding.name_of R, T), params')) preds_syn; + val Tss = map (binder_types o fastype_of) preds; + + (* making the definition *) + + val intrs' = map + (ObjectLogic.atomize_term (ProofContext.theory_of lthy) o snd) intrs; + + fun mk_all x P = HOLogic.all_const (fastype_of x) $ lambda x P; + + val (defs, lthy1) = fold_map (fn ((((R, _), syn), pred), Ts) => + let val zs = map Free (Variable.variant_frees lthy intrs' + (map (pair "z") Ts)) + in + LocalTheory.define Thm.internalK + ((R, syn), (Attrib.empty_binding, fold_rev lambda (params' @ zs) + (fold_rev mk_all preds (fold_rev (curry HOLogic.mk_imp) + intrs' (list_comb (pred, zs)))))) #>> snd #>> snd + end) (preds_syn ~~ preds ~~ Tss) lthy; + + val (_, lthy2) = Variable.add_fixes (map (Binding.name_of o fst) params) lthy1; + + + (* proving the induction rules *) + + val (Pnames, lthy3) = + Variable.variant_fixes (replicate (length preds) "P") lthy2; + val Ps = map (fn (s, Ts) => Free (s, Ts ---> HOLogic.boolT)) + (Pnames ~~ Tss); + val cPs = map (cterm_of (ProofContext.theory_of lthy3)) Ps; + val intrs'' = map (subst_free (preds ~~ Ps) o snd) intrs; + + fun inst_spec ct = Drule.instantiate' + [SOME (ctyp_of_term ct)] [NONE, SOME ct] spec; + + fun prove_indrule ((R, P), Ts) = + let + val (znames, lthy4) = + Variable.variant_fixes (replicate (length Ts) "z") lthy3; + val zs = map Free (znames ~~ Ts) + in + Goal.prove lthy4 [] + [HOLogic.mk_Trueprop (list_comb (R, zs))] + (Logic.list_implies (intrs'', + HOLogic.mk_Trueprop (list_comb (P, zs)))) + (fn {prems, ...} => EVERY + ([ObjectLogic.full_atomize_tac 1, + cut_facts_tac prems 1, + rewrite_goals_tac defs] @ + map (fn ct => dtac (inst_spec ct) 1) cPs @ + [assume_tac 1])) |> + singleton (ProofContext.export lthy4 lthy1) + end; + + val indrules = map prove_indrule (preds ~~ Ps ~~ Tss); + + + (* proving the introduction rules *) + + val all_elims = fold (fn ct => fn th => th RS inst_spec ct); + val imp_elims = fold (fn th => fn th' => [th', th] MRS mp); + + fun prove_intr (i, (_, r)) = + Goal.prove lthy2 [] [] r + (fn {prems, context = ctxt} => EVERY + [ObjectLogic.rulify_tac 1, + rewrite_goals_tac defs, + REPEAT (resolve_tac [allI, impI] 1), + SUBPROOF (fn {params, prems, context = ctxt', ...} => + let + val (prems1, prems2) = + chop (length prems - length intrs) prems; + val (params1, params2) = + chop (length params - length preds) (map snd params) + in + rtac (ObjectLogic.rulify + (all_elims params1 (nth prems2 i))) 1 THEN + EVERY (map (fn prem => + SUBPROOF (fn {prems = prems', concl, ...} => + let + val prem' = prems' MRS prem; + val prem'' = case prop_of prem' of + _ $ (Const (@{const_name All}, _) $ _) => + prem' |> all_elims params2 |> + imp_elims prems2 + | _ => prem' + in rtac prem'' 1 end) ctxt' 1) prems1) + end) ctxt 1]) |> + singleton (ProofContext.export lthy2 lthy1); + + val intr_ths = map_index prove_intr intrs; + + + (* storing the theorems *) + + val mut_name = space_implode "_" (map (Binding.name_of o fst o fst) preds_syn); + val case_names = map (Binding.name_of o fst o fst) intrs + in + lthy1 |> + LocalTheory.notes Thm.theoremK (map (fn (((a, atts), _), th) => + ((Binding.qualify false mut_name a, atts), [([th], [])])) + (intrs ~~ intr_ths)) |-> + (fn intr_thss => LocalTheory.note Thm.theoremK + ((Binding.qualify false mut_name (Binding.name "intros"), []), maps snd intr_thss)) |>> + snd ||>> + (LocalTheory.notes Thm.theoremK (map (fn (((R, _), _), th) => + ((Binding.qualify false (Binding.name_of R) (Binding.name "induct"), + [Attrib.internal (K (RuleCases.case_names case_names)), + Attrib.internal (K (RuleCases.consumes 1)), + Attrib.internal (K (Induct.induct_pred ""))]), [([th], [])])) + (preds_syn ~~ indrules)) #>> maps snd) + end; + +fun add_inductive preds_syn params_syn intro_srcs lthy = + let + val ((vars, intrs), _) = Specification.read_spec + (preds_syn @ params_syn) intro_srcs lthy; + val (preds_syn', params_syn') = chop (length preds_syn) vars + in + add_inductive_i preds_syn' (map fst params_syn') intrs lthy + end; + + +(* outer syntax *) + +local structure P = OuterParse and K = OuterKeyword in + +val ind_decl = + P.fixes -- P.for_fixes -- + Scan.optional (P.$$$ "where" |-- + P.!!! (P.enum1 "|" (SpecParse.opt_thm_name ":" -- P.prop))) [] >> + (fn ((preds, params), specs) => + add_inductive preds params specs #> snd); + +val _ = OuterSyntax.local_theory "simple_inductive" "define inductive predicates" + K.thy_decl ind_decl; + +end; + +end; diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/TUM-Logo-102.png Binary file Nominal/activities/tphols09/TUM-Logo-102.png has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/accepted.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/accepted.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,170 @@ + + + +TPHOLs 2009 + + + + + + + + + + + + + + + +
+ +

+ +Marienplatz +
+Marienplatz (city centre)
+

+ +

+ +Englischer Garten +
+The English Garden
+

+ +

+ +Chinesischer Turm +
+Chinese Tower (famous beer garden)
+

+ +

+ +Computer science building +
The Computer Science building of the TUM
+

+ +

+ +Main hall of the computer science building +
+The main hall in the CS-building
+

+ +

+ +The river Isar +
+The Isar river
+

+ +

+ +poster +
+The conference poster
+

+ +		 +

Accepted Papers

+ +
    +
  • Andreas Lochbihler. Formalising FinFuns - Generating Code for Functions as Data from Isabelle/HOL +
  • Alwen Tiu and Jeremy E. Dawson. Formalising Observer Theory for Environment-Sensitive Bisimulation +
  • Stefan Berghofer and Markus Reiter. Formalizing the Logic-Automaton Connection +
  • Stefan Berghofer, Lukas Bulwahn and Florian Haftmann. Turning inductive into equational specifications +
  • Chad Brown and Gert Smolka. Extended First-Order Logic +
  • Magnus O. Myreen and Mike Gordon. Verified LISP implementations on ARM, x86 and PowerPC +
  • Brian Huffman. A Purely Definitional Universal Domain +
  • Peter Homeier. The HOL-Omega Logic +
  • Simon Winwood, Gerwin Klein, Thomas Sewell, June Andronick, David Cock and Michael Norrish. +Mind the Gap: A Verification Framework for Low-Level C +
  • Alexander Schimpf, Stephan Merz and Jan-Georg Smaus. Construction of Büchi Automata for LTL Model Checking Verified in Isabelle/HOL +
  • René Thiemann and Christian Sternagel. Certification of Termination Proofs using CeTA +
  • Stephane Le Roux. Acyclic preferences and existence of sequential Nash equilibria: a formal +and constructive equivalence +
  • Andrea Asperti, Wilmer Ricciotti, Claudio Sacerdoti Coen and Enrico Tassi. Hints in unification +
  • Javier de Dios and Ricardo Pena. Formal Certification of a Resource-Aware Language Implementation +
  • Dabrowski Frédéric and David Pichardie. A Certified Data Race Analysis for a Java-like Language +
  • Wouter Swierstra. Proof pearl: The Hoare State Monad +
  • François Garillot, Georges Gonthier, Assia Mahboubi, Laurence Rideau. +Packaging Mathematical Structures +
  • Nick Benton, Andrew Kennedy and Carsten Varming. Some Domain Theory and Denotational Semantics in Coq +
  • Thomas Tuerk. A Formalisation of Smallfoot in HOL +
  • Rafal Kolanski and Gerwin Klein. Types, Maps and Separation Logic +
  • Jesper Bengtson and Joachim Parrow. Psi-calculi in Isabelle +
  • Ioana Pasca and Nicolas Julien. Formal verification of exact computations using Newton's method +
  • Scott Owens, Susmit Sarkar and Peter Sewell. A better x86 memory model: x86-TSO +
  • Andrew McCreight. Practical Tactics for Separation Logic +
  • Osman Hasan, Sanaz Khan Afshar and Sofiene Tahar. Formal Analysis of Optical Waveguides in HOL +
  • Jinshuang Wang and Xingyuan Zhang. Liveness Reasoning with Isabelle/HOL +
  • Keiko Nakata and Tarmo Uustalu. Trace-based coinductive operational +semantics for While: Big-step and small step, functional and relational +styles +
+ + + +

Accepted Papers in the Emerging Trends Section

+ +
    +
  • Anduo Wang, Boon Thau Loo, Changbin Liu, Oleg Sokolsky and Prithwish Basu. +A Theorem Proving Approach Towards Declarative Networking +
  • Bruno Bernardo. Towards an Implicit Calculus of Inductive Constructions. +Extending the Implicit Calculus of Constructions with Union and +Subset Types +
  • Holger Gast. Towards a Modular Extensible Isabelle Interface +
  • Florian Kammüller and Henry Sudhof. A Mechanized Theory of Aspects +
  • F.J. Lopez-Fraguas, Stephan Merz and Juan Rodriguez-Hortala. +A Formalization of the Semantics of Functional-Logic Programming +in Isabelle +
  • Filip Maric and Predrag Janicic. SAT Solver Verification Project +
  • Anduo Wang and Boon Thau Loo. Formalizing Metarouting in PVS +
  • Richard Warburton and Sara Kalvala. Verifying Compiling Optimisations Using +Isabelle/HOL + + + + +
+ +
+ +
+ + +Last modified: Tue Jun 23 04:50:46 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/basin.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/basin.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,137 @@ + + + +TPHOLs 2009 + + + + + + + + + + + + + + + +
+ +

+ +Marienplatz +
+Marienplatz (city centre)
+

+ +

+ +Englischer Garten +
+The English Garden
+

+ +

+ +Chinesischer Turm +
+Chinese Tower (famous beer garden)
+

+ +

+ +Computer science building +
The Computer Science building of the TUM
+

+ +

+ +Main hall of the computer science building +
+The main hall in the CS-building
+

+ +

+ +The river Isar +
+The Isar river
+

+ +

+ +poster +
+The conference poster
+

+ +		 +

SPEAKER: David Basin

+ +

TITLE: Let's get physical: models and methods for real-world security +protocols

+ +(Joint work with Patrick Schaller, Benedikt Schmidt, and Srdjan Capkun) + +

+Traditional security protocols are mainly concerned with key establishment and +principal authentication, and rely on predistributed keys and properties of +cryptographic operators. In contrast, new application areas are emerging that +establish and rely on properties of the physical world. Examples include +secure localization, distance bounding, and device pairing protocols. +

+ +

+We present a formal model extending standard, inductive, trace-based, symbolic +approaches in two directions. In terms of communication, we refine the +standard Dolev-Yao model to account for network topology, transmission delays, +and node positions. This results in a distributed intruder with restricted, +but more realistic, communication capabilities. On the level of messages, we +use an abstract message theory to establish facts independent of the concrete +protocol and message theory. To analyse the security of a given protocol, we +instantiate the abstract message theory so that properties of the +cryptographic operators under consideration are accurately modeled. We +describe the formalization of this model in Isabelle/HOL and present its +application to a distance bounding protocol, where the concrete message theory +includes exclusive-or and its associated equational theory. +

+
+ +
+ + +Last modified: Wed Apr 29 19:18:31 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/cfet.txt --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/cfet.txt Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,31 @@ +CALL FOR PAPERS: TPHOLs 2009 --EMERGING TRENDS-- + +22nd International Conference on +Theorem Proving in Higher Order Logic (TPHOLs 2009) + +Munich, Germany + +Monday, 17 August through Thursday, 20 August 2009 + +******************************** +* http://tphols.in.tum.de/ * +******************************** + +The 2009 International Conference on Theorem Proving in Higher Order +Logics will be the 22nd in a series that dates back to 1988. The +conference will be held in Munich, Germany on 17-20 August 2009. + +Traditionally, TPHOLs has an "Emerging Trends Section" (Category B-Paper) +for informal progress reports. Submissions under category B will not be +formally refereed, but their content and relevance will be reviewed. +Submissions accepted in this category will be published in a technical +report of the TU Munich, which will be available at the conference. +Authors of accepted Category B papers are expected to present a brief +outline of their work at the conference and to prepare a poster for +display at the conference venue. + +The DEADLINE for submissions in emerging trends is: 22 May 2008 + +Papers should be no more than 10 pages in length and should be written +using LaTeX and the LNCS style file. Submissions should be sent electronically +directly to the organizers using the email address "tphols09@easychair.org". \ No newline at end of file diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/cfp.pdf Binary file Nominal/activities/tphols09/cfp.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/cfp.tex --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/cfp.tex Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,129 @@ +\documentclass{article} +\usepackage{times} +\usepackage[latin1]{inputenc} +%\usepackage{fullpage} + +\addtolength{\textheight}{60mm} +\addtolength{\topmargin}{-30mm} +\addtolength{\textwidth}{70mm} +\addtolength{\oddsidemargin}{-35mm} + +\pagestyle{empty} +\parindent0em + +\begin{document} + +\begin{center} +\textbf{CALL FOR PAPERS}\\[1.2ex] +{\normalsize 22nd International Conference on }\\[0.8ex] +{\large\bfseries Theorem Proving in Higher Order Logics (TPHOLs 2009)}\\[0.8ex] +{\normalsize\itshape 17 -- 20 August 2009, Munich, Germany}\\[1.2ex] +\texttt{http://tphols.in.tum.de/} +\end{center} + +\vspace{0mm} + +\begin{minipage}[t]{6.5cm}% first column +\renewcommand{\baselinestretch}{0.99}\parskip 4pt\small + +\textbf{Program Committee:} \\ +Thorsten Altenkirch, \emph{Nottingham University}\\ +David Aspinall, \emph{Edinburgh University}\\ +Jeremy Avigad, \emph{Carnegie Mellon University}\\ +Gilles Barthe, \emph{IMDEA}\\ +Christoph Benzmüller, \emph{Saarland University}\\ +Peter Dybjer, \emph{Chalmers University}\\ +Jean-Christophe Filliâtre, \emph{LRI Paris}\\ +Georges Gonthier, \emph{Microsoft Research}\\ +Mike Gordon, \emph{Cambridge University}\\ +Jim Grundy, \emph{Intel}\\ +Reiner Hähnle, \emph{Chalmers University}\\ +Joe Hurd, \emph{Galois}\\ +Gerwin Klein, \emph{NICTA}\\ +Xavier Leroy, \emph{INRIA}\\ +Pete Manolios, \emph{Northeastern University}\\ +César Muñoz, \emph{NIA Langley}\\ +Tobias Nipkow (co-chair), \emph{TU München}\\ +Michael Norrish, \emph{NICTA}\\ +Sam Owre, \emph{SRI International}\\ +Larry Paulson, \emph{Cambridge University}\\ +Frank Pfenning, \emph{Carnegie Mellon University}\\ +Randy Pollack, \emph{Edinburgh University}\\ +Sofiène Tahar, \emph{Concordia University}\\ +Laurent Théry, \emph{INRIA}\\ +Christian Urban (co-chair), \emph{TU München}\\ +Freek Wiedijk, \emph{Radboud University Nijmegen}\\[1em] +% +\textbf{Important Dates:} \\ +\begin{tabular}{@{}l@{~~}r@{}} +Submission: & 8 March 2009\\ +Author notification: & 4 May 2009\\ +Camera-ready papers due: & 5 June 2009\\ +Conference: & 17 -- 20 August 2009\\ +\end{tabular} +\\[1em] +\textbf{Organizers:} \\[1ex] +\begin{tabular}{@{}l@{}} +Tobias Nipkow\\ +Makarius Wenzel\\ +Stefan Berghofer\\ +Christian Urban\\ +\end{tabular} + +\end{minipage} +\hspace{3mm} +\begin{minipage}[t]{12cm}% second column +\renewcommand{\baselinestretch}{0.95} +%\parskip0ex\parindent1.5em +\parskip1ex\parindent0em +%%%\small +TPHOLs is a series of international conferences that started in 1988 and +brings together researchers working in all areas of interactive theorem +proving. The conference will be held on 17 through 20 August +2009 in Munich. + +{\bf Topics}\medskip + +The program committee welcomes submissions on all aspects of theorem +proving in higher order logics, on related topics in theorem proving and +verification, and on relevant applications. The topics include, but are not +limited to, the following: + + +\begin{itemize} +\item Specification and verification of hardware: microprocessors, memory +systems, buses, pipelines, etc; formal semantics of hardware design languages; +synthesis; formal design flows. + +\item Specification and verification of software: program verification, + refinement, and synthesis for functional, declarative and imperative + languages; formal semantics of programming languages; proof carrying + code. +\item Industrial application of theorem provers. +\item Formalization of mathematical theories. +\item Advances in theorem prover technology: proof automation and decision + procedures, induction, combination of deductive and algorithmic approaches, + incorporation of theorem provers into larger systems, combination of + theorem provers with other provers and tools. +\item Other topics, including: security algorithms, properties, and policies; + specification and requirements analysis of systems; user interfaces for + theorem provers; development and extension of higher order logics. +\item Proof Pearls: concise and elegant presentations of interesting examples. +\end{itemize} + +Relevant research involving interactive first-order systems, such as ACL2 +and Mizar, is also welcome. All authors are reminded that their work should +be presented in a way that users of other systems can understand. + +Submission is electronic. Papers should be no more than 16 pages in length +and are to be submitted in PDF format. They must conform to the LNCS style +preferably using LaTeX2e. The proceedings are to be published as a volume +in the Lecture Notes in Computer Science series and will be available to +participants at the conference. + +Authors of accepted papers are expected to present their paper at +the workshop. + + +\end{minipage} +\end{document} diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/cfw.txt --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/cfw.txt Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,49 @@ + CALL FOR WORKSHOP PROPOSALS: TPHOLs 2009 + +The 22th International Conference on +Theorem Proving in Higher Order Logics + +17 - 20 August 2009 (main conference) +21 August 2009 (workshops) +in Munich, Germany + + ****************************** + * http://tphols.in.tum.de/ * + ****************************** + +TPHOLs is a series of international conferences that started in 1988 +and brings together researchers working in all areas of interactive +theorem proving. The main conference will be held on 17 through 20 +August 2009 in Munich. There will be an extra day for associated +workshops: 21 August 2009. + + +Workshop proposals +------------------ + +Workshops to be proposed here as an associated event to TPHOLs 2009 +should be related to the general theme of interactive theorem proving +or some of its application areas. See also the call for papers of the +main conference to get an idea about the topics covered there. + +Both well-established workshops and newer ones are welcome. The basic +format will be that of a one day event on 21 August 2009, after the +main conference. Workshop proceedings can be published as a technical +report of TU München, if required. + +Proposals or any further questions should be sent by e-mail to the +TPHOLs 2009 workshop chair: Makarius Wenzel + +Please include the following information in particular: + + * Workshop name and abbreviation + * Names and affiliations of organizers + * Topics covered by the workshop, possibly with some links to + websites of earlier instances of the workshop. + + +Important Dates +--------------- +Submission of proposals: 1 February 2009 +Notification: 15 Febrary 2009 +Workshops: 21 August 2009 diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/conference_info.pdf Binary file Nominal/activities/tphols09/conference_info.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/emerging-trends-TUM-I0916.pdf Binary file Nominal/activities/tphols09/emerging-trends-TUM-I0916.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/fee.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/fee.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,166 @@ + + + +TPHOLs 2009 + + + + + + + + + + + + + +
+ +

+ +Marienplatz +
+Marienplatz (city centre)
+

+ +

+ +Englischer Garten +
+The English Garden
+

+ +

+ +Chinesischer Turm +
+Chinese Tower (famous beer garden)
+

+ +

+ +Computer science building +
The Computer Science building of the TUM
+

+ +

+ +Main hall of the computer science building +
+The main hall in the CS-building
+

+ +

+ +The river Isar +
+The Isar river
+

+ +

+ +poster +
+The conference poster
+

+ +		 + +
+[Important Dates] +[Committees] +[Venue and Programme] +[Workshops] +[Travel Informations] +[Registration] +[Our Sponsors] +
+

+ +

Conference Fee

+ +The early registration deadline is 5th July. The fees for the +conference and workshop are as follows: + +

+early registration
+ +

    +
  • conference fee: €350 (for students €245) +
  • conference plus workshop: €415 (for students €310) +
  • workshop only: €80 (no discount for students) +
  • extra ticket for conference dinner and excursion: €70 (no discount for students) +
+ +

+late registration
+ +

    +
  • conference fee: €455 (for students €320) +
  • conference plus workshop: €520 (for students €385) +
  • workshop only: €80 (no discount for students) +
  • extra ticket for conference dinner and excursion: €70 (no discount for students) +
+ +Students must confirm their student status by sending a fax (to +49 89 289 17307) of their student card +or a letter from their institutions certifying that they are enrolled in an academic +program in 2008-2009 or 2009-2010. If in doubt whether you are eligible for a student +discount, check with the organizers before paying the registration fee. + +

+ +Note that the conference registration fee already includes the +excursion and dinner on the 19th of August, so there is no need to +buy an extra excursion and dinner ticket unless you are accompanied by +someone who has not registered for the conference. + + +

+To provide you with the service of +paying by credit card, we use an external website that is available +only in German. We will give below instructions that help you with filling +out the forms. Read carefully the instructions! If you have problems +email us at . + +

+ +

Go To the Registration Page

+ +

+

Cancellation policy

+ +If cancellation of your registration is necessary, you may email us at +. Cancellations made by August 2, +2009, will be accepted. However the handling fees and bank charges cannot be refunded. +Registrants who do not attend the conference or who cancel after August 2, 2009 are +responsible for the entire registration fee. Substitutions, however, may be made at +any time. + +

Receipts

+ +Receipts will be provided at the conference. + +
+ +
+ + +Last modified: Thu Jul 2 10:56:58 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/fee2.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/fee2.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,303 @@ + + + +TPHOLs 2009 + + + + + + + + + + + + + +
+ +

+ +Marienplatz +
+Marienplatz (city centre)
+

+ +

+ +Englischer Garten +
+The English Garden
+

+ +

+ +Chinesischer Turm +
+Chinese Tower (famous beer garden)
+

+ +

+ +Computer science building +
The Computer Science building of the TUM
+

+ +

+ +Main hall of the computer science building +
+The main hall in the CS-building
+

+ +

+ +The river Isar +
+The Isar river
+

+ +

+ +poster +
+The conference poster
+

+ +		 + +
+[Important Dates] +[Committees] +[Venue and Programme] +[Workshops] +[Travel Informations] +[Registration] +[Our Sponsors] +
+

+ +

Conference Registration via MünchenTicket

+ +The registration for TPHOLs 2009 is via +MünchenTicket. +Since the booking website is in German, we have provided some instructions that +will guide you through the registration process. Read carefully the instructions! +If you have problems email us at . + +

0. Open the link

+ +Open the following link in a separate window. +
+MünchenTicket +
+ + +

1. Overview page

+ +After clicking on the above link, you will see a page showing an overview +of all possible ticket categories. You can start booking your conference +ticket by clicking on the "Order tickets" button. +

+

+ +

2. Login

+ +In order to book a ticket, you must have a valid user account at MünchenTicket. + +
    +
  • If you already have a user account with them, enter your email or login and your password, +and then press the "Submit" button to log in. + +
  • Otherwise, click on the link +"Register as a new customer" to create a new account. +
+

+

+ +

3. Registration as a new user

+ +Please completely fill out the form shown below. All fields marked with * are +mandatory. Your login information consists of your email address and a password. +The password will be generated automatically and sent to you by email immediately +after submitting the form. You will then get back to the login page. See below for +translations of some country names. +

+

+

+List of countries +
+ + + + + + + + + +
Australien=Australia
Dänemark=Danmark
Frankreich=France
Griechenland=Greece
Italien=Italy
Schweden=Sweden
Vereinigtes Königreich Großbritannien=United Kingdom
Vereinigte Staaten von Amerika=United States of America
+ +

4. Choose ticket

+ +You now have to choose your type of registration. At the bottom of the page shown +below, you can see a table showing all available event / reduction types, together +with their price. In the rightmost column of the table, there is a drop-down menu +allowing you to choose the number of tickets of the corresponding type that you +want to buy. Unless you want to order additional excursion and dinner tickets +for persons accompanying you, you will usually have to choose "1" for just one of +the event / reduction types. Before choosing a student reduction, please make sure +that you are eligible. If you are happy with your selection, press the +"Next: put in shopping cart" button. +

+

+ +

5. Shopping cart

+ +The booking system will now display the contents of your shopping cart. Unless +you want to cancel your booking (in which case you would have to click on +the "Discard" button), you just have to click on "Next: enter address". +

+

+ +

6. Enter address

+ +The booking system will now display the customer address, which is the one +that you have entered in step 3. In addition, you are also offered to enter +a delivery address. However, since the conference ticket is an electronic +ticket, it does not make sense to enter anything here, so just click on +"Next: select payment type". +

+

+ +

7. Select payment type

+ +The system now offers you to select the delivery / payment type. The only +delivery type is "online registration", and the only payment type is +"credit card", so just click on the "Next: show summary / check order". +

+

+ +

8. Summary

+ +You will now be shown a summary of your booking. You can either +continue by clicking on the "Next: make payment / booking" button, +or change the contents of your shopping cart, your address or +payment type. +

+

+ +

9. Make payment

+ +Payment can only be made by credit card (Master Card, Visa, or +American Express). The booking system will show you the total +amount to be paid, and ask you to enter your credit card number, +the expiry date, the owner of the credit card, and the card +security code. If you are sure you have entered everything +correctly and finally want to book your ticket, click +on the "Finish / really book ticket" button. +Note that +after clicking on this button, your credit card will be charged +with the total amount, and it is no longer possible +to cancel or alter your booking via the MünchenTicket +website. +

+

+ +

10. Confirmation

+ +Upon successful completion of your booking, you will receive a +confirmation of your booking via email. Please keep this confirmation +for your records. If you have mistyped your credit card information, +or your card is not valid, an error message will appear. +

+

+ + +
+
+From: info@muenchenticket.de [mailto:info@muenchenticket.de] 
+Date: ...
+To: ...
+Subject: Registrierungbestaetigung / Confirmation of registration TPHOLs 2009
+
+Sehr geehrter Herr ...,
+
+gerne bestätigen wir namens des Veranstalters nachstehende Registrierung:
+
+This is a confirmation of your registration on behalf of the organiser for:
+
+Bestellnummer / order number: ... Datum / Date: ... Kundennummer / customer number: ...
+
+*****************************
+
+
+1 Ticket(s)
+
+22nd International Conference on Theorem Proving in Higher 
+Order Logics (TPHOLs) 17 to 21 August 2009 
+    ... | ... EUR | ...
+    Novotel München City, ... , 
+
+
+Gesamtpreis/Amount: ... EUR 
+
+******************************
+
+Bei Rückfragen zur Buchung wenden Sie sich bitte an unseren Kundenservice:
+For any further questions on your booking please conctact our customer care center:
+
+info@muenchenticket.de
+
+Weitere Informationen zur Konferenz finden Sie auf:
+For further information on the conference please visit:
+
+http://tphols.in.tum.de
+
+
+Mit freundlichen Grüßen / With kind regards
+
+München Ticket GmbH
+Postfach 20 14 13
+80014 München
+Tel. 0180 / 54 81 81 81 (0,14EUR/Min. aus dem dt. Festnetz - Mobilfunk abweichend)
+Fax: 089 / 54 81 81 54
+Email: info@muenchenticket.de
+Internet: www.muenchenticket.de
+
+Serviceeinrichtung der Landeshauptstadt München, Sitz der 
+Gesellschaft: München, Reg.-Ger. München, HRB 10 60 18, 
+Geschäftsführer Stephan Rusch, Aufsichtsratsvorsitzende 
+Brigitte v. Welser
+
+
+
+ +

11. Hotel Booking

+ +If you have not done it yet, you can now proceed with the +hotel reservation. +
+ +
+ + +Last modified: Fri May 29 04:57:13 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/harrison.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/harrison.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,116 @@ + + + +TPHOLs 2009 + + + + + + + + + + + + + + + +
+ +

+ +Marienplatz +
+Marienplatz (city centre)
+

+ +

+ +Englischer Garten +
+The English Garden
+

+ +

+ +Chinesischer Turm +
+Chinese Tower (famous beer garden)
+

+ +

+ +Computer science building +
The Computer Science building of the TUM
+

+ +

+ +Main hall of the computer science building +
+The main hall in the CS-building
+

+ +

+ +The river Isar +
+The Isar river
+

+ +

+ +poster +
+The conference poster
+

+ +		 +

SPEAKER: John Harrison

+ +

TITLE: Without Loss of Generality

+ +

+Soon. +

+ +
+ +
+ + +Last modified: Tue May 26 03:42:58 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/history.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/history.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,353 @@ + + + +TPHOLs 2009 + + + + + + + + + + + + + + + +
+ +

+ +Marienplatz +
+Marienplatz (city centre)
+

+ +

+ +Englischer Garten +
+The English Garden
+

+ +

+ +Chinesischer Turm +
+Chinese Tower (famous beer garden)
+

+ +

+ +Computer science building +
The Computer Science building of the TUM
+

+ +

+ +Main hall of the computer science building +
+The main hall in the CS-building
+

+ +

+ +The river Isar +
+The Isar river
+

+ +

+ +poster +
+The conference poster
+

+ +		 + +

History of TPHOLs

+ +

The TPHOLs Conference Series

+ +

TPHOLs 2009 is the twenty-second in a series of international conferences on +the applications of higher order logic theorem proving.

+ +

The first three (two at Cambridge and one at Århus) were +informal users' meetings for the HOL system and were the only ones +without published papers. Between 1991 and 1995 (Davis, Leuven, +Vancouver, Malta, Utah) the conference entertained an increasingly +wide field of interest.

+ +

The evolution resulted in the program committee for the meeting in +Turku (1996) deeming that the scope of the conference included all +reasoning tools for higher order logics and adopted the name TPHOLs, +being an acronym for Theorem Proving in Higher Order Logics. (The +final letter being considered necessary to break the direct connection +between the conference and the HOL system.) This decision was strongly +endorsed at the business sessions at Turku and Murray Hill (1997).

+ +

An extensive collection of links to various aspects of previous +conferences in the series may be found below.

+ +

Associated Communities

+ +

An inspection of the proceedings of recent conferences show that the +conference accommodates the user communities of a number of theorem proving +systems that support higher order logics. The interested reader is referred to +the web sites for the following provers:

+ + + + + + + + + + + + + + +
• ACL2• Coq• HOL• IMPS• Isabelle• LEGO• Nuprl• ProofPower• PVS• TPS
+ +

Traditions

+ +

A longstanding convention is that the annual conference should be +held in a continent different to the location of the previous +meeting.

+ +

Another tradition is that the organizers for each meeting handle all +aspects of the conference for the whole year in consultation with the +previous few organizers. This includes selection of the programme +committee, editing the proceedings, fund-raising, programme and local +arrangements.

+ +

Another responsibility of the organizers in year n is to call +for bids and conduct a poll for the selection of the venue for the +conference in year n+1. + + +

TPHOLs Conferences

+
+
2009
+
The 22nd International + Conference on Theorem Proving in Higher Order Logics,
+ Munich, Germany, August 17-20, 2009. + [ Proceedings ] +
+
2008
+
The 21th International + Conference on Theorem Proving in Higher Order Logics,
+ Montreal, Canada, August 18-21, 2008. + [ Proceedings ] +
+
2007
+
The 20th International + Conference on Theorem Proving in Higher Order Logics,
+ Kaiserslautern, Germany, September 10-13, 2007. + [ Proceedings ] +
+ +
2006
+
The 19th International + Conference on Theorem Proving in Higher Order Logics,
+ merged with + 3rd International Joint Conference on Automated Reasoning,
+ Seattle, August 17-20, 2006. + [ Proceedings ] +
+ +
2005
+
The 18th International + Conference on Theorem Proving in Higher Order Logics,
+ Oxford, UK , 22-25 August 2005. + [ Proceedings ] +
+ +
2004
+
The 17th International + Conference on Theorem Proving in Higher Order Logics,
+ Park City, Utah, USA, 14-17 September 2004. +
+ +
2003
+
The 16th International + Conference on Theorem Proving in Higher Order Logics,
+ Rome, Italy, 9-12 September 2003. + [ Proceedings ] +
+ +
2002
+
The 15th International + Conference on Theorem Proving in Higher Order Logics,
+ Hampton, Virginia, USA, 20-23 August 2002. + [ Proceedings ] +
+
2001
+
The 14th International + Conference on Theorem Proving in Higher Order Logics,
+ Edinburgh, Scotland, 3-6 September 2001. + [ Proceedings ] +
+
2000
+
The 13th International + Conference on Theorem Proving in Higher Order Logics,
+ Portland, Oregon, USA, 14-18 August 2000. + [ BibTeX file | Proceedings ] +
+
1999
+
The 12th International + Conference on Theorem Proving in Higher Order Logics,
+ Unversity of Nice-Sophia-Antipolis, Nice, France, 14-17 September 1999. + [ BibTeX file ] +
+
1998
+
The 11th International + Conference on Theorem Proving in Higher Order Logics,
+ The Australian National University, Canberra, Australia, 28 September - 1 October 1998. + [ + BibTeX file ] +
+
1997
+
The 10th + International Conference on Theorem Proving in Higher Order Logics,
+ Bell Labs, Murray Hill, New Jersey, USA, 19-22 August 1997. + [ BibTeX file ] +
+
1996
+
The 9th + International Conference on Theorem Proving in Higher Order Logics,
+ Turku Center for Computer Science and Åbo Akademi University, + Turku, Finland, 26-30 August 1996. + [ BibTeX file ] +
+
+ + +

HOL Workshops

+ +
+
1995
+
8th International + Workshop on Higher Order Logic Theorem Proving and its Applications, + Aspen Grove, Utah, USA, 11-14 September 1995. + [ + BibTeX file ] +
+
1994
+ +
7th International + Workshop on Higher Order Logic Theorem Proving and its Applications, + Valletta, Malta, 19-22 September 1994. + [ + BibTeX file | + + Photograph ] +
+ +
1993
+
6th International Workshop on Higher Order Logic Theorem Proving and its + Applications, Vancouver, B.C., Canada, 10-13 August 1993. + [ + BibTeX file | + + Photograph ] +
+ +
1992
+
5th International Workshop on Higher Order Logic Theorem Proving and its + Applications, IMEC, Leuven, Belgium, 21-24 September 1992. + [ + BibTeX file | + + Photograph ] +
+ +
1991
+
4th International Workshop on the HOL Theorem Proving System and its + Applications, Davis, California, USA, 28-30 August 1991. + [ + BibTeX file ] +
+
+ + +

HOL Users Meetings

+ +
+
1990
+
3rd International HOL Users Meeting, Aarhus University, Denmark, + 1-2 October 1990.
+ [ BibTeX file | + + Abstracts (DVI) | + + Abstracts (PostScript) | + + Photograph ] +
+
1989
+
2nd International HOL Users Meeting, Trinity Hall, Cambridge, + 14-15 December 1989.
+ [ + Abstracts (DVI) | + + Abstracts (PostScript) | + + Photograph ] +
+
1988
+ +
1st International HOL Users Meeting, Sidney Sussex College, Cambridge, + 29-30 September 1988.
+ [ + Photograph ] +
+
+ + + +
+ +
+ + +Last modified: Wed Oct 21 17:42:13 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/hotel.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/hotel.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,179 @@ + + + +TPHOLs 2009 + + + + + + + + + + + + + +
+ +

+ +Marienplatz +
+Marienplatz (city centre)
+

+ +

+ +Englischer Garten +
+The English Garden
+

+ +

+ +Chinesischer Turm +
+Chinese Tower (famous beer garden)
+

+ +

+ +Computer science building +
The Computer Science building of the TUM
+

+ +

+ +Main hall of the computer science building +
+The main hall in the CS-building
+

+ +

+ +The river Isar +
+The Isar river
+

+ +

+ +poster +
+The conference poster
+

+ +		 + +
+[Important Dates] +[Committees] +[Venue and Programme] +[Workshops] +[Travel and Accommodation] +[Registration] +[Our Sponsors] +
+

+ +

Booking Rooms at the Conference Hotel

+ +The conference hotel +has allocated 50 single rooms for participants +of the conference at a reduced rate of €119 (including breakfast). Bookings +should be made until 5 July 2009. After this date, the allocation will expire +for 50% of the rooms that have not yet been booked. After 26 July 2009, the +allocation will finally expire for all remaining rooms. Reservations received after +this date will be accepted only if rooms are available and possibly at a higher rate. + +

+Reservations at the conference hotel can be made in the following ways: +

    +
  • By sending an email to +
  • By sending a fax to +49 89 66 10 79 99 + (reservation form: pdf | doc) +
  • By calling +49 89 66 10 70 +
+In all cases, you must mention the reservation code "TPHOLS 2009" with your +booking, and specify your credit card details (card type, number, expiry date). + +

+The cancellation of your reservation is free of charge up to +3 weeks prior to arrival. Later cancellations are subject to a fee of 90% of the +rate for the room. The invoice is to be settled on the day of departure. + +

+The conference hotel will have free internet access during the conference and workshops. + +

Other Hotels

+ +There are a number of other hotels in the vicinity of the conference hotel: + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Hotel nameAddressPrice per single room (incl. breakfast)Internet
Hotel MariahilfLilienstraße 83€65.00 - €135.00free internet
Motel One München-City-OstOrleansstraße 87€66.50free internet in the lobby
Hotel Max EmanuelRablstraße 10€87.00internet not free
Hotel Stadt RosenheimOrleansplatz 6a€79.00 - €99.00
Hotel PreysingPreysingstraße 1€109.00 - €128.00free internet
+ +Note that the rates shown above are subject to change without prior notice. + + +You can search for other hotels via www.muenchen.de/hotel +or www.hotel.de. +
+ +
+ + +Last modified: Fri May 29 04:58:35 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/idw.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/idw.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,276 @@ + + + +Isabelle Developers Workshop 2009 + + + + + + + + + + + + + + +
+ +

+ +Marienplatz +
+Marienplatz (city centre)
+

+ +

+ +Englischer Garten +
+The English Garden
+

+ +

+ +Chinesischer Turm +
+Chinese Tower (famous beer garden)
+

+ +

+ +Computer science building +
The Computer Science building of the TUM
+

+ +

+ +Main hall of the computer science building +
+The main hall in the CS-building
+

+ +

+ +The river Isar +
+The Isar river
+

+ +		 + + + + + +

Isabelle Developers Workshop

+

13 - 15 August in Munich,

+

affiliated with TPHOLs 2009

+		TUM
+
+ +

Programme

+ +The Nominal Group is +organising the Isabelle Developers Workshop in 2009. The workshop is very much +meant to be an informal meeting where developers can talk to developers. It +is also a place where you can learn about Isabelle programming. + +

+There is no registration for this workshop. +If you want to participate, please let me know (email: urbanc +at in tum de). Please let me also know which projects you +are working on and which parts of Isabelle you are interested in. + +

Venue

+ +The workshop will take place at the Campus Garching of the +TU Munich. Details about travelling are below: + + + +

Confirmed Participants

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Maksym BortinDFKI, Germany
Burkhart WolffLRI, France
Jeremy DawsonAustralian National University, Australia
Lucas DixonEdinburgh University, United Kingdom (only 13th and 14th)
Cameron FreerMIT, USA
Gerwin KleinNICTA, Australia
Peter HomeierDepartment of Defense, USA
Brian HuffmanPortland State University, USA
Cezary KaliszykRadboud University, Netherlands
Rafal KolanskiNICTA, Australia
Yongjian LiChinese Academy of Sciences, China
Christoph LüthDFKI, Germany
Walther NeuperTU Graz, Austria
Gabriel Dos ReisTexas A&M University, USA
Christian SternagelUniversity of Innsbruck, Austria
Nik SultanaUniversity of Cambridge, UK
Denis WalterDFKI, Germany
Stefan BerghoferTU Munich, Germany
Jasmin BlanchetteTU Munich, Germany
Sascha BöhmeTU Munich, Germany
Lukas BulwahnTU Munich, Germany
Florian HaftmannTU Munich, Germany
Johannes HölzlTU Munich, Germany
Fabian ImmlerTU Munich, Germany
Alexander KraussTU Munich, Germany
Markus WenzelTU Munich, Germany
Christian UrbanTU Munich, Germany
+ + +

Schedule

+ +A detailed schedule is here: +[pdf] + +
Thursday, August 13
+ +
    +
  • 9:15 - 9:30 Short Intro [slides] +
  • 9:30 - 10:15 Florian Haftmann: Isabelle/ML, Fundamental Isabelle Types, Antiquotations, +Passing States, Accumulating Results, Name Space +[thy1] +
  • 10:30 - 11:15 Makarius Wenzel: Proof Methods +[slides] +[Ex1] +[Ex2] +
  • 11:45 - 12:30 Christian Urban: Tactics and Generic Proof Procedures +[slides] +[Ex] +
  • 14:30 - 15:15 Sascha Böhme: Parsing and New Commands +[Calc.thy] +[Method.thy] +
+ +
Friday, August 14
+ + + +
Saturday, August 15
+ + + +
+ +
+ + +Last modified: Sun Aug 16 12:54:19 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/index.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/index.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,360 @@ + + + +TPHOLs 2009 + + + + + + + + + + + + + + + + +
+ +

+ +Marienplatz +
+Marienplatz (city centre)
+

+ +

+ +Englischer Garten +
+The English Garden
+

+ +

+ +Chinesischer Turm +
+Chinese Tower (famous beer garden)
+

+ +

+ +Computer science building +
The Computer Science building of the TUM
+

+ +

+ +Main hall of the computer science building +
+The main hall in the CS-building
+

+ +

+ +The river Isar +
+The Isar river
+

+ +

+ +poster +
+The conference poster
+

+ +		 + + + + + +

TPHOLs will be in Munich from 17 to 20 August 2009

TUM
+
+TPHOLs is a series of international conferences that started in 1988 and +brings together researchers working in all areas of interactive theorem proving. +The Theorem Proving Group at the Technische Universität München +is pleased to host the 22nd TPHOLs. + +
+
+[Important Dates] +[Committees] +[Venue] +[Programme] +[Workshops] +[Local Information] +[Hotel Booking] +[Our Sponsors] +[History] +
+

+ + + + + + +
Pictures of the conference are now available
+ +

Important Dates

+Submission for main proceedings: Now closed.
+Submission for the emerging trends: Now closed.
+Registration: Now closed
+Conference: 17-20 August 2009
+ +

Committees and Invited Speakers

+ +
Invited Speakers:
+ + + + + + + + + + + + + +
David BasinETH Zurich, Switzerlandtitle/abstract
John HarrisonIntel, USAtitle/abstract
Wolfram Schulte Microsoft Research, USA
+ +
Invited Tutorials about/by:
+ + + + + + + + + + + + + + +
TwelfCarsten Schürmann
HOL Light John Harrison
AgdaUlf Norell
MizarAdam Naumowicz
+ +
Programme Committee:
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Thorsten AltenkirchNottingham University, United Kingdom
David AspinallEdinburgh University, United Kingdom
Jeremy AvigadCarnegie Mellon University, USA
Gilles BartheIMDEA, Spain
Christoph BenzmüllerSaarland University, Germany
Peter DybjerChalmers University, Sweden
Jean-Christophe FilliâtreCNRS, France
Georges GonthierMicrosoft Research, United Kingdom
Mike GordonCambridge University, United Kingdom
Jim GrundyIntel, USA
Reiner HähnleChalmers University, Sweden
Joe HurdGalois, USA
Gerwin KleinNICTA, Australia
Xavier LeroyINRIA, France
Pete ManoliosNortheastern University, USA
César MuñozNASA, USA
Tobias Nipkow (co-chair)TU München, Germany
Michael NorrishNICTA, Australia
Sam OwreSRI International, USA
Larry PaulsonCambridge University, United Kingdom
Frank PfenningCarnegie Mellon University, USA
Randy PollackEdinburgh University, United Kingdom
Sofiène TaharConcordia University, Canada
Laurent ThéryINRIA, France
Christian Urban (co-chair) TU München, Germany
Freek WiedijkRadboud University Nijmegen, The Netherlands
+ +
Workshop Chair:
+ +Makarius Wenzel + +
Local Organisation:
+ +Tobias Nipkow, +Makarius Wenzel, +Stefan Berghofer, +Christian Urban + +

Programme

+ +The LNCS number of the proceedings will be 5674. You can find the +accepted papers here. The programme +is elsewhere. If you are an author and +prepare your slides, please note that the contributed talks in the +main conference are limited to 25 minutes (including time for +questions). The talks in the poster session are limited to 7 minutes. +The proceedings of the poster session is +here. + +

Workshops

+ + + +

Venue and Travelling

+ +The conference will take place in the +Novotel +which is near the river Isar and close to the city centre. There are a number of +beer gardens near the hotel. + + + +

Local Information

+ +Munich is situated +at the heart of Europe. +
+ +

+

+
+ +

+Munich's +airport is an important European hub for international flights from +around the world. + +

+Novotel +is close to the central station and in easy reach from the airport by public transportation. +More detailed local information can be downloaded for + +

    +
  • the main conference and the workshops on August 21 + [pdf] +
  • the Isabelle Developers Workshop on August 13 - 15 + [pdf] +
+ +

Hotel Booking

+ +The registration deadline for the conference has passed. You can still book +your hotel: + +

+

+ + +

Our Sponsors

+ +We are very grateful for the support provided by: + + + +
+ +
+ + +Last modified: Wed Oct 21 17:59:37 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/index2.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/index2.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,199 @@ + + + +Bid for TPHOLs 2009 + + + + + + + + + + + + + + + + +
+ +

+ +Computer science building +
+Computer science building
+

+ +

+ +Main hall of the computer science building +
+Main hall of the computer science building
+

+ +

+ +Englischer Garten +
+Englischer Garten
+

+ +

+ +Chinesischer Turm +
+Chinesischer Turm (Beer Garden)
+

+ +

+ +Marienplatz +
+Marienplatz (City Center)
+

+ +

+ +Nationaltheater +
+The Nationaltheater
+

+ +

+ +Maximilianstraße +
+Maximilianstraße
+

+ +

+ +The river Isar +
+The Isar river
+

+ + + +		 + + + + + +

Bid to host TPHOLs 2009 by Technische Universität München

TUM
+
+The Department of Computer Science at TU Munich (located at the +Campus Garching) +would like to host the 22nd TPHOLs. + + +

Timing and Programme

+ +Following the traditional timing of TPHOLs, we propose to hold the +conference August 17-20 2009 (alternatively August 24-27). + +

+We expect the conference will consist of four days of fully refereed +research paper presentations, invited talks, and poster presentations +for work-in-progress. Moreover, half a day will be dedicated to an +excursion, followed by the conference dinner in the evening. We aim +to provide plenty of time between the formal sessions for attendees to +mingle and converse, since we believe this to be a very valuable +aspect of the conference. + +

+As in previous years we will seek to publish the main proceedings as a +volume of Springer's Lecture Notes in Computer Science, and also to +continue the tradition of offering a venue for the presentation of +work-in-progress. The latter will be published as a separate +volume. Both volumes will be prepared in time to be available for the +conference. + +

+Our computer science building at the Campus Garching provides +excellent facilities for lectures, coffee breaks, lunch, and Internet +connectivity via WLAN. + + +

Organising Committee

+ + + + +

Travel and Accomodation

+ +Munich is situated +at the heart of Europe, the Munich +Aiport is an important European hub for international flights from +around the world. + +

+ +

+ +

+The Campus +Garching is located 10 km north of the city of Munich. There are +frequent Underground connections, taking about half an hour from the +very center of Munich to the department of Computer Science. + +

+Munich offers a wide range of accommodation facilities and +restaurants. Late August is usually the best season for enoying the +many beer gardens. + + +

Finance

We will seek to keep the costs for attending the +conference low. In particular, funding for invited speakers will be +available from the Doctorate +Program PUMA. + +
+ +
+ + +Last modified: Fri Feb 29 19:07:15 CET 2008 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/isabelle-schedule.pdf Binary file Nominal/activities/tphols09/isabelle-schedule.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/isabelle-workshop.pdf Binary file Nominal/activities/tphols09/isabelle-workshop.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/new.gif Binary file Nominal/activities/tphols09/new.gif has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/novotel_booking.doc Binary file Nominal/activities/tphols09/novotel_booking.doc has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/novotel_booking.pdf Binary file Nominal/activities/tphols09/novotel_booking.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/chinesischer_turm.jpg Binary file Nominal/activities/tphols09/pictures/chinesischer_turm.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/chinesischer_turm_small.jpg Binary file Nominal/activities/tphols09/pictures/chinesischer_turm_small.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/cs_building.jpg Binary file Nominal/activities/tphols09/pictures/cs_building.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/cs_building_small.jpg Binary file Nominal/activities/tphols09/pictures/cs_building_small.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/englischer_garten.jpg Binary file Nominal/activities/tphols09/pictures/englischer_garten.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/englischer_garten_small.jpg Binary file Nominal/activities/tphols09/pictures/englischer_garten_small.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/isar.jpg Binary file Nominal/activities/tphols09/pictures/isar.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/isar_small.jpg Binary file Nominal/activities/tphols09/pictures/isar_small.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/magistrale.jpg Binary file Nominal/activities/tphols09/pictures/magistrale.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/magistrale_small.jpg Binary file Nominal/activities/tphols09/pictures/magistrale_small.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/marienplatz.jpg Binary file Nominal/activities/tphols09/pictures/marienplatz.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/marienplatz_small.jpg Binary file Nominal/activities/tphols09/pictures/marienplatz_small.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/maximilianstrasse.jpg Binary file Nominal/activities/tphols09/pictures/maximilianstrasse.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/maximilianstrasse_small.jpg Binary file Nominal/activities/tphols09/pictures/maximilianstrasse_small.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/nationaltheater.jpg Binary file Nominal/activities/tphols09/pictures/nationaltheater.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/nationaltheater_small.jpg Binary file Nominal/activities/tphols09/pictures/nationaltheater_small.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/tphols09_poster.jpg Binary file Nominal/activities/tphols09/pictures/tphols09_poster.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/tphols09_poster_small.jpg Binary file Nominal/activities/tphols09/pictures/tphols09_poster_small.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/validas.jpg Binary file Nominal/activities/tphols09/pictures/validas.jpg has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/pictures/validas.png Binary file Nominal/activities/tphols09/pictures/validas.png has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/programme.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/programme.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,258 @@ + + + +TPHOLs 2009 + + + + + + + + + + + + + + + +
+ +

+ +Marienplatz +
+Marienplatz (city centre)
+

+ +

+ +Englischer Garten +
+The English Garden
+

+ +

+ +Chinesischer Turm +
+Chinese Tower (famous beer garden)
+

+ +

+ +Computer science building +
The Computer Science building of the TUM
+

+ +

+ +Main hall of the computer science building +
+The main hall in the CS-building
+

+ +

+ +The river Isar +
+The Isar river
+

+ +

+ +poster +
+The conference poster
+

+ +		 + +

Preliminary Programme

+ +

Pre-Conference Workshop (August 13-15)

+ +Isabelle Developers Workshop + +

Sunday, August 16

+ + + +
18:00-20:00 RECEPTION and REGISTRATION
+ +

Monday, August 17

+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
8:00-9:00 REGISTRATION
9:00-10:00 INVITED TALK 1 (Session Chair: )
David Basin. Let's Get Physical: Models and Methods for + Real-World Security Protocols
10:00-10:30 COFFEE
10:30-12:10 SESSION 1 (Session Chair: )
Assia Mahboubi, Georges Gonthier, Laurence Rideau and François Garillot. + Packaging Mathematical Structures
Andrea Asperti, Wilmer Ricciotti, Claudio Sacerdoti Coen and Enrico + Tassi. Hints in unification
Ioana Pasca and Nicolas Julien. Formal verification of exact + computations using Newton's method
Osman Hasan, Sanaz Khan Afshar and Sofiene Tahar. Formal Analysis of + Optical Waveguides in HOL
12:10-13:40 LUNCH
13:40-15:20 SESSION 2 (Session Chair: )
Wouter Swierstra. Proof pearl: The Hoare State Monad
Keiko Nakata and Tarmo Uustalu. Trace-based coinductive operational + semantics for While: Big-step and small-step, functional and relational styles
Andreas Lochbihler. Formalising FinFuns - Generating Code for Functions + as Data from Isabelle/HOL
Stephane Le Roux. Acyclic preferences and existence of sequential Nash + equilibria: a formal and constructive equivalence
15:20-15:50 COFFEE
15:50-17:30   SESSION 3 (Session Chair: )
Jesper Bengtson and Joachim Parrow. Psi-calculi in Isabelle
Jeremy E. Dawson and Alwen Tiu. Formalising Observer Theory for + Environment-Sensitive Bisimulation
Brian Huffman. A Purely Definitional Universal Domain
Nick Benton, Andrew Kennedy and Carsten Varming. Some Domain Theory and + Denotational Semantics in Coq
+ +

Tuesday, August 18

+ + + + + + + + + + + + + + + + + + + + + + + +
8:00-9:00 INVITED TUTORIAL 1 (Session Chair: )
John Harrison. HOL Light: an overview
9:00-10:00 INVITED TALK 2 (Session Chair: )
Ernie Cohen, Markus Dahlweid, Mark Hillebrand, Dirk Leinenbach, Michal Moskal, + Thomas Santen, Wolfram Schulte and Stephan Tobies. VCC: A Practical System + for Verifying Concurrent C
10:00-10:30 COFFEE
10:30-12:10 SESSION 4 (Session Chair: )
Rene Thiemann and Christian Sternagel. Certification of Termination + Proofs using CeTA
Jinshuang Wang, Xingyuan Zhang and Huabing Yang. Liveness Reasoning with + Isabelle/HOL/Isar
Dabrowski Frederic and David Pichardie. A Certified Data Race Analysis + for a Java-like Language
Stefan Berghofer, Lukas Bulwahn and Florian Haftmann. Turning inductive + into equational specifications
12:10-13:40 LUNCH
13:40-15:20 POSTER SESSION
15:20-16:00 COFFEE
16:00-17:00 BUSINESS MEETING
+ +

Wednesday, August 19

+ + + + + + + + + + + + + + + + + + + +
8:00-9:00 INVITED TUTORIAL 2 (Session Chair: )
Adam Naumowicz. A Brief Overview of Mizar
9:00-10:00 INVITED TALK 3 (Session Chair: )
John Harrison. Without Loss of Generality
10:00-10:30 COFFEE
10:30-11:45 SESSION 5 (Session Chair: )
Rafal Kolanski and Gerwin Klein. Types, Maps and Separation Logic
Andrew McCreight. Practical Tactics for Separation Logic
Thomas Tuerk. A Formalisation of Smallfoot in HOL
11:45-13:00 LUNCH
13:00-23:00 EXCURSION
+ +

Thursday, August 20

+ + + + + + + + + + + + + + + + + + + + + + + + + +
8:00-9:00 INVITED TUTORIAL 3 (Session Chair: )
Ana Bove, Ulf Norell and Peter Dybjer. A Brief Overview of Agda + - A Functional Language with Dependent Types
9:00-10:00 INVITED TUTORIAL 4 (Session Chair: )
Carsten Schürmann. The Twelf Proof Assistant
10:00-10:30 COFFEE
10:30-12:10 SESSION 6 (Session Chair: )
Scott Owens, Susmit Sarkar and Peter Sewell. A better x86 memory model: + x86-TSO
Magnus O. Myreen and Mike Gordon. Verified LISP implementations on ARM, + x86 and PowerPC
Javier de Dios and Ricardo Pena. Formal Certification of a + Resource-Aware Language Implementation
Simon Winwood, Gerwin Klein, Thomas Sewell, June Andronick, David Cock + and Michael Norrish. Mind the Gap: A Verification Framework for Low-Level C
12:10-13:40 LUNCH
13:40-15:20 SESSION 7 (Session Chair: )
Peter Homeier. The HOL-Omega Logic
Chad Brown and Gert Smolka. Extended First-Order Logic
Alexander Schimpf, Stephan Merz and Jan-Georg Smaus. Construction of + Büchi Automata for LTL Model Checking Verified in Isabelle/HOL
Stefan Berghofer and Markus Reiter. Formalizing the Logic-Automaton + Connection
15:20-15:50   COFFEE
+ +

Post-Conference Workshops (Friday, August 21)

+ +PLMMS
+Coq Workshop + +
+ +
+ + +Last modified: Mon Aug 10 16:43:44 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/registration/class.phpmailer.php --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/registration/class.phpmailer.php Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,1718 @@ +ContentType = 'text/html'; + } else { + $this->ContentType = 'text/plain'; + } + } + + /** + * Sets Mailer to send message using SMTP. + * @return void + */ + function IsSMTP() { + $this->Mailer = 'smtp'; + } + + /** + * Sets Mailer to send message using PHP mail() function. + * @return void + */ + function IsMail() { + $this->Mailer = 'mail'; + } + + /** + * Sets Mailer to send message using the $Sendmail program. + * @return void + */ + function IsSendmail() { + $this->Mailer = 'sendmail'; + } + + /** + * Sets Mailer to send message using the qmail MTA. + * @return void + */ + function IsQmail() { + $this->Sendmail = '/var/qmail/bin/sendmail'; + $this->Mailer = 'sendmail'; + } + + ///////////////////////////////////////////////// + // METHODS, RECIPIENTS + ///////////////////////////////////////////////// + + /** + * Adds a "To" address. + * @param string $address + * @param string $name + * @return void + */ + function AddAddress($address, $name = '') { + $cur = count($this->to); + $this->to[$cur][0] = trim($address); + $this->to[$cur][1] = $name; + } + + /** + * Adds a "Cc" address. Note: this function works + * with the SMTP mailer on win32, not with the "mail" + * mailer. + * @param string $address + * @param string $name + * @return void + */ + function AddCC($address, $name = '') { + $cur = count($this->cc); + $this->cc[$cur][0] = trim($address); + $this->cc[$cur][1] = $name; + } + + /** + * Adds a "Bcc" address. Note: this function works + * with the SMTP mailer on win32, not with the "mail" + * mailer. + * @param string $address + * @param string $name + * @return void + */ + function AddBCC($address, $name = '') { + $cur = count($this->bcc); + $this->bcc[$cur][0] = trim($address); + $this->bcc[$cur][1] = $name; + } + + /** + * Adds a "Reply-To" address. + * @param string $address + * @param string $name + * @return void + */ + function AddReplyTo($address, $name = '') { + $cur = count($this->ReplyTo); + $this->ReplyTo[$cur][0] = trim($address); + $this->ReplyTo[$cur][1] = $name; + } + + ///////////////////////////////////////////////// + // METHODS, MAIL SENDING + ///////////////////////////////////////////////// + + /** + * Creates message and assigns Mailer. If the message is + * not sent successfully then it returns false. Use the ErrorInfo + * variable to view description of the error. + * @return bool + */ + function Send() { + $header = ''; + $body = ''; + $result = true; + + if((count($this->to) + count($this->cc) + count($this->bcc)) < 1) { + $this->SetError($this->Lang('provide_address')); + return false; + } + + /* Set whether the message is multipart/alternative */ + if(!empty($this->AltBody)) { + $this->ContentType = 'multipart/alternative'; + } + + $this->error_count = 0; // reset errors + $this->SetMessageType(); + $header .= $this->CreateHeader(); + $body = $this->CreateBody(); + + if($body == '') { + return false; + } + + /* Choose the mailer */ + switch($this->Mailer) { + case 'sendmail': + $result = $this->SendmailSend($header, $body); + break; + case 'smtp': + $result = $this->SmtpSend($header, $body); + break; + case 'mail': + $result = $this->MailSend($header, $body); + break; + default: + $result = $this->MailSend($header, $body); + break; + //$this->SetError($this->Mailer . $this->Lang('mailer_not_supported')); + //$result = false; + //break; + } + + return $result; + } + + /** + * Sends mail using the $Sendmail program. + * @access private + * @return bool + */ + function SendmailSend($header, $body) { + if ($this->Sender != '') { + $sendmail = sprintf("%s -oi -f %s -t", escapeshellcmd($this->Sendmail), escapeshellarg($this->Sender)); + } else { + $sendmail = sprintf("%s -oi -t", escapeshellcmd($this->Sendmail)); + } + + if(!@$mail = popen($sendmail, 'w')) { + $this->SetError($this->Lang('execute') . $this->Sendmail); + return false; + } + + fputs($mail, $header); + fputs($mail, $body); + + $result = pclose($mail) >> 8 & 0xFF; + if($result != 0) { + $this->SetError($this->Lang('execute') . $this->Sendmail); + return false; + } + + return true; + } + + /** + * Sends mail using the PHP mail() function. + * @access private + * @return bool + */ + function MailSend($header, $body) { + + $to = ''; + for($i = 0; $i < count($this->to); $i++) { + if($i != 0) { $to .= ', '; } + $to .= $this->AddrFormat($this->to[$i]); + } + + $toArr = split(',', $to); + + if ($this->Sender != '' && strlen(ini_get('safe_mode'))< 1) { + $old_from = ini_get('sendmail_from'); + ini_set('sendmail_from', $this->Sender); + $params = sprintf("-oi -f %s", $this->Sender); + if ($this->SingleTo === true && count($toArr) > 1) { + foreach ($toArr as $key => $val) { + $rt = @mail($val, $this->EncodeHeader($this->SecureHeader($this->Subject)), $body, $header, $params); + } + } else { + $rt = @mail($to, $this->EncodeHeader($this->SecureHeader($this->Subject)), $body, $header, $params); + } + } else { + if ($this->SingleTo === true && count($toArr) > 1) { + foreach ($toArr as $key => $val) { + $rt = @mail($val, $this->EncodeHeader($this->SecureHeader($this->Subject)), $body, $header, $params); + } + } else { + $rt = @mail($to, $this->EncodeHeader($this->SecureHeader($this->Subject)), $body, $header); + } + } + + if (isset($old_from)) { + ini_set('sendmail_from', $old_from); + } + + if(!$rt) { + $this->SetError($this->Lang('instantiate')); + return false; + } + + return true; + } + + /** + * Sends mail via SMTP using PhpSMTP (Author: + * Chris Ryan). Returns bool. Returns false if there is a + * bad MAIL FROM, RCPT, or DATA input. + * @access private + * @return bool + */ + function SmtpSend($header, $body) { + include_once($this->PluginDir . 'class.smtp.php'); + $error = ''; + $bad_rcpt = array(); + + if(!$this->SmtpConnect()) { + return false; + } + + $smtp_from = ($this->Sender == '') ? $this->From : $this->Sender; + if(!$this->smtp->Mail($smtp_from)) { + $error = $this->Lang('from_failed') . $smtp_from; + $this->SetError($error); + $this->smtp->Reset(); + return false; + } + + /* Attempt to send attach all recipients */ + for($i = 0; $i < count($this->to); $i++) { + if(!$this->smtp->Recipient($this->to[$i][0])) { + $bad_rcpt[] = $this->to[$i][0]; + } + } + for($i = 0; $i < count($this->cc); $i++) { + if(!$this->smtp->Recipient($this->cc[$i][0])) { + $bad_rcpt[] = $this->cc[$i][0]; + } + } + for($i = 0; $i < count($this->bcc); $i++) { + if(!$this->smtp->Recipient($this->bcc[$i][0])) { + $bad_rcpt[] = $this->bcc[$i][0]; + } + } + + if(count($bad_rcpt) > 0) { // Create error message + for($i = 0; $i < count($bad_rcpt); $i++) { + if($i != 0) { + $error .= ', '; + } + $error .= $bad_rcpt[$i]; + } + $error = $this->Lang('recipients_failed') . $error; + $this->SetError($error); + $this->smtp->Reset(); + return false; + } + + if(!$this->smtp->Data($header . $body)) { + $this->SetError($this->Lang('data_not_accepted')); + $this->smtp->Reset(); + return false; + } + if($this->SMTPKeepAlive == true) { + $this->smtp->Reset(); + } else { + $this->SmtpClose(); + } + + return true; + } + + /** + * Initiates a connection to an SMTP server. Returns false if the + * operation failed. + * @access private + * @return bool + */ + function SmtpConnect() { + if($this->smtp == NULL) { + $this->smtp = new SMTP(); + } + + $this->smtp->do_debug = $this->SMTPDebug; + $hosts = explode(';', $this->Host); + $index = 0; + $connection = ($this->smtp->Connected()); + + /* Retry while there is no connection */ + while($index < count($hosts) && $connection == false) { + $hostinfo = array(); + if(eregi('^(.+):([0-9]+)$', $hosts[$index], $hostinfo)) { + $host = $hostinfo[1]; + $port = $hostinfo[2]; + } else { + $host = $hosts[$index]; + $port = $this->Port; + } + + if($this->smtp->Connect(((!empty($this->SMTPSecure))?$this->SMTPSecure.'://':'').$host, $port, $this->Timeout)) { + if ($this->Helo != '') { + $this->smtp->Hello($this->Helo); + } else { + $this->smtp->Hello($this->ServerHostname()); + } + + $connection = true; + if($this->SMTPAuth) { + if(!$this->smtp->Authenticate($this->Username, $this->Password)) { + $this->SetError($this->Lang('authenticate')); + $this->smtp->Reset(); + $connection = false; + } + } + } + $index++; + } + if(!$connection) { + $this->SetError($this->Lang('connect_host')); + } + + return $connection; + } + + /** + * Closes the active SMTP session if one exists. + * @return void + */ + function SmtpClose() { + if($this->smtp != NULL) { + if($this->smtp->Connected()) { + $this->smtp->Quit(); + $this->smtp->Close(); + } + } + } + + /** + * Sets the language for all class error messages. Returns false + * if it cannot load the language file. The default language type + * is English. + * @param string $lang_type Type of language (e.g. Portuguese: "br") + * @param string $lang_path Path to the language file directory + * @access public + * @return bool + */ + function SetLanguage($lang_type, $lang_path = 'language/') { + if(file_exists($lang_path.'phpmailer.lang-'.$lang_type.'.php')) { + include($lang_path.'phpmailer.lang-'.$lang_type.'.php'); + } elseif (file_exists($lang_path.'phpmailer.lang-en.php')) { + include($lang_path.'phpmailer.lang-en.php'); + } else { + $this->SetError('Could not load language file'); + return false; + } + $this->language = $PHPMAILER_LANG; + + return true; + } + + ///////////////////////////////////////////////// + // METHODS, MESSAGE CREATION + ///////////////////////////////////////////////// + + /** + * Creates recipient headers. + * @access private + * @return string + */ + function AddrAppend($type, $addr) { + $addr_str = $type . ': '; + $addr_str .= $this->AddrFormat($addr[0]); + if(count($addr) > 1) { + for($i = 1; $i < count($addr); $i++) { + $addr_str .= ', ' . $this->AddrFormat($addr[$i]); + } + } + $addr_str .= $this->LE; + + return $addr_str; + } + + /** + * Formats an address correctly. + * @access private + * @return string + */ + function AddrFormat($addr) { + if(empty($addr[1])) { + $formatted = $this->SecureHeader($addr[0]); + } else { + $formatted = $this->EncodeHeader($this->SecureHeader($addr[1]), 'phrase') . " <" . $this->SecureHeader($addr[0]) . ">"; + } + + return $formatted; + } + + /** + * Wraps message for use with mailers that do not + * automatically perform wrapping and for quoted-printable. + * Original written by philippe. + * @access private + * @return string + */ + function WrapText($message, $length, $qp_mode = false) { + $soft_break = ($qp_mode) ? sprintf(" =%s", $this->LE) : $this->LE; + + $message = $this->FixEOL($message); + if (substr($message, -1) == $this->LE) { + $message = substr($message, 0, -1); + } + + $line = explode($this->LE, $message); + $message = ''; + for ($i=0 ;$i < count($line); $i++) { + $line_part = explode(' ', $line[$i]); + $buf = ''; + for ($e = 0; $e $length)) { + $space_left = $length - strlen($buf) - 1; + if ($e != 0) { + if ($space_left > 20) { + $len = $space_left; + if (substr($word, $len - 1, 1) == '=') { + $len--; + } elseif (substr($word, $len - 2, 1) == '=') { + $len -= 2; + } + $part = substr($word, 0, $len); + $word = substr($word, $len); + $buf .= ' ' . $part; + $message .= $buf . sprintf("=%s", $this->LE); + } else { + $message .= $buf . $soft_break; + } + $buf = ''; + } + while (strlen($word) > 0) { + $len = $length; + if (substr($word, $len - 1, 1) == '=') { + $len--; + } elseif (substr($word, $len - 2, 1) == '=') { + $len -= 2; + } + $part = substr($word, 0, $len); + $word = substr($word, $len); + + if (strlen($word) > 0) { + $message .= $part . sprintf("=%s", $this->LE); + } else { + $buf = $part; + } + } + } else { + $buf_o = $buf; + $buf .= ($e == 0) ? $word : (' ' . $word); + + if (strlen($buf) > $length and $buf_o != '') { + $message .= $buf_o . $soft_break; + $buf = $word; + } + } + } + $message .= $buf . $this->LE; + } + + return $message; + } + + /** + * Set the body wrapping. + * @access private + * @return void + */ + function SetWordWrap() { + if($this->WordWrap < 1) { + return; + } + + switch($this->message_type) { + case 'alt': + /* fall through */ + case 'alt_attachments': + $this->AltBody = $this->WrapText($this->AltBody, $this->WordWrap); + break; + default: + $this->Body = $this->WrapText($this->Body, $this->WordWrap); + break; + } + } + + /** + * Assembles message header. + * @access private + * @return string + */ + function CreateHeader() { + $result = ''; + + /* Set the boundaries */ + $uniq_id = md5(uniqid(time())); + $this->boundary[1] = 'b1_' . $uniq_id; + $this->boundary[2] = 'b2_' . $uniq_id; + + $result .= $this->HeaderLine('Date', $this->RFCDate()); + if($this->Sender == '') { + $result .= $this->HeaderLine('Return-Path', trim($this->From)); + } else { + $result .= $this->HeaderLine('Return-Path', trim($this->Sender)); + } + + /* To be created automatically by mail() */ + if($this->Mailer != 'mail') { + if(count($this->to) > 0) { + $result .= $this->AddrAppend('To', $this->to); + } elseif (count($this->cc) == 0) { + $result .= $this->HeaderLine('To', 'undisclosed-recipients:;'); + } + if(count($this->cc) > 0) { + $result .= $this->AddrAppend('Cc', $this->cc); + } + } + + $from = array(); + $from[0][0] = trim($this->From); + $from[0][1] = $this->FromName; + $result .= $this->AddrAppend('From', $from); + + /* sendmail and mail() extract Cc from the header before sending */ + if((($this->Mailer == 'sendmail') || ($this->Mailer == 'mail')) && (count($this->cc) > 0)) { + $result .= $this->AddrAppend('Cc', $this->cc); + } + + /* sendmail and mail() extract Bcc from the header before sending */ + if((($this->Mailer == 'sendmail') || ($this->Mailer == 'mail')) && (count($this->bcc) > 0)) { + $result .= $this->AddrAppend('Bcc', $this->bcc); + } + + if(count($this->ReplyTo) > 0) { + $result .= $this->AddrAppend('Reply-To', $this->ReplyTo); + } + + /* mail() sets the subject itself */ + if($this->Mailer != 'mail') { + $result .= $this->HeaderLine('Subject', $this->EncodeHeader($this->SecureHeader($this->Subject))); + } + + $result .= sprintf("Message-ID: <%s@%s>%s", $uniq_id, $this->ServerHostname(), $this->LE); + $result .= $this->HeaderLine('X-Priority', $this->Priority); + $result .= $this->HeaderLine('X-Mailer', 'PHPMailer (phpmailer.sourceforge.net) [version ' . $this->Version . ']'); + + if($this->ConfirmReadingTo != '') { + $result .= $this->HeaderLine('Disposition-Notification-To', '<' . trim($this->ConfirmReadingTo) . '>'); + } + + // Add custom headers + for($index = 0; $index < count($this->CustomHeader); $index++) { + $result .= $this->HeaderLine(trim($this->CustomHeader[$index][0]), $this->EncodeHeader(trim($this->CustomHeader[$index][1]))); + } + $result .= $this->HeaderLine('MIME-Version', '1.0'); + + switch($this->message_type) { + case 'plain': + $result .= $this->HeaderLine('Content-Transfer-Encoding', $this->Encoding); + $result .= sprintf("Content-Type: %s; charset=\"%s\"", $this->ContentType, $this->CharSet); + break; + case 'attachments': + /* fall through */ + case 'alt_attachments': + if($this->InlineImageExists()){ + $result .= sprintf("Content-Type: %s;%s\ttype=\"text/html\";%s\tboundary=\"%s\"%s", 'multipart/related', $this->LE, $this->LE, $this->boundary[1], $this->LE); + } else { + $result .= $this->HeaderLine('Content-Type', 'multipart/mixed;'); + $result .= $this->TextLine("\tboundary=\"" . $this->boundary[1] . '"'); + } + break; + case 'alt': + $result .= $this->HeaderLine('Content-Type', 'multipart/alternative;'); + $result .= $this->TextLine("\tboundary=\"" . $this->boundary[1] . '"'); + break; + } + + if($this->Mailer != 'mail') { + $result .= $this->LE.$this->LE; + } + + return $result; + } + + /** + * Assembles the message body. Returns an empty string on failure. + * @access private + * @return string + */ + function CreateBody() { + $result = ''; + + $this->SetWordWrap(); + + switch($this->message_type) { + case 'alt': + $result .= $this->GetBoundary($this->boundary[1], '', 'text/plain', ''); + $result .= $this->EncodeString($this->AltBody, $this->Encoding); + $result .= $this->LE.$this->LE; + $result .= $this->GetBoundary($this->boundary[1], '', 'text/html', ''); + $result .= $this->EncodeString($this->Body, $this->Encoding); + $result .= $this->LE.$this->LE; + $result .= $this->EndBoundary($this->boundary[1]); + break; + case 'plain': + $result .= $this->EncodeString($this->Body, $this->Encoding); + break; + case 'attachments': + $result .= $this->GetBoundary($this->boundary[1], '', '', ''); + $result .= $this->EncodeString($this->Body, $this->Encoding); + $result .= $this->LE; + $result .= $this->AttachAll(); + break; + case 'alt_attachments': + $result .= sprintf("--%s%s", $this->boundary[1], $this->LE); + $result .= sprintf("Content-Type: %s;%s" . "\tboundary=\"%s\"%s", 'multipart/alternative', $this->LE, $this->boundary[2], $this->LE.$this->LE); + $result .= $this->GetBoundary($this->boundary[2], '', 'text/plain', '') . $this->LE; // Create text body + $result .= $this->EncodeString($this->AltBody, $this->Encoding); + $result .= $this->LE.$this->LE; + $result .= $this->GetBoundary($this->boundary[2], '', 'text/html', '') . $this->LE; // Create the HTML body + $result .= $this->EncodeString($this->Body, $this->Encoding); + $result .= $this->LE.$this->LE; + $result .= $this->EndBoundary($this->boundary[2]); + $result .= $this->AttachAll(); + break; + } + if($this->IsError()) { + $result = ''; + } + + return $result; + } + + /** + * Returns the start of a message boundary. + * @access private + */ + function GetBoundary($boundary, $charSet, $contentType, $encoding) { + $result = ''; + if($charSet == '') { + $charSet = $this->CharSet; + } + if($contentType == '') { + $contentType = $this->ContentType; + } + if($encoding == '') { + $encoding = $this->Encoding; + } + $result .= $this->TextLine('--' . $boundary); + $result .= sprintf("Content-Type: %s; charset = \"%s\"", $contentType, $charSet); + $result .= $this->LE; + $result .= $this->HeaderLine('Content-Transfer-Encoding', $encoding); + $result .= $this->LE; + + return $result; + } + + /** + * Returns the end of a message boundary. + * @access private + */ + function EndBoundary($boundary) { + return $this->LE . '--' . $boundary . '--' . $this->LE; + } + + /** + * Sets the message type. + * @access private + * @return void + */ + function SetMessageType() { + if(count($this->attachment) < 1 && strlen($this->AltBody) < 1) { + $this->message_type = 'plain'; + } else { + if(count($this->attachment) > 0) { + $this->message_type = 'attachments'; + } + if(strlen($this->AltBody) > 0 && count($this->attachment) < 1) { + $this->message_type = 'alt'; + } + if(strlen($this->AltBody) > 0 && count($this->attachment) > 0) { + $this->message_type = 'alt_attachments'; + } + } + } + + /* Returns a formatted header line. + * @access private + * @return string + */ + function HeaderLine($name, $value) { + return $name . ': ' . $value . $this->LE; + } + + /** + * Returns a formatted mail line. + * @access private + * @return string + */ + function TextLine($value) { + return $value . $this->LE; + } + + ///////////////////////////////////////////////// + // CLASS METHODS, ATTACHMENTS + ///////////////////////////////////////////////// + + /** + * Adds an attachment from a path on the filesystem. + * Returns false if the file could not be found + * or accessed. + * @param string $path Path to the attachment. + * @param string $name Overrides the attachment name. + * @param string $encoding File encoding (see $Encoding). + * @param string $type File extension (MIME) type. + * @return bool + */ + function AddAttachment($path, $name = '', $encoding = 'base64', $type = 'application/octet-stream') { + if(!@is_file($path)) { + $this->SetError($this->Lang('file_access') . $path); + return false; + } + + $filename = basename($path); + if($name == '') { + $name = $filename; + } + + $cur = count($this->attachment); + $this->attachment[$cur][0] = $path; + $this->attachment[$cur][1] = $filename; + $this->attachment[$cur][2] = $name; + $this->attachment[$cur][3] = $encoding; + $this->attachment[$cur][4] = $type; + $this->attachment[$cur][5] = false; // isStringAttachment + $this->attachment[$cur][6] = 'attachment'; + $this->attachment[$cur][7] = 0; + + return true; + } + + /** + * Attaches all fs, string, and binary attachments to the message. + * Returns an empty string on failure. + * @access private + * @return string + */ + function AttachAll() { + /* Return text of body */ + $mime = array(); + + /* Add all attachments */ + for($i = 0; $i < count($this->attachment); $i++) { + /* Check for string attachment */ + $bString = $this->attachment[$i][5]; + if ($bString) { + $string = $this->attachment[$i][0]; + } else { + $path = $this->attachment[$i][0]; + } + + $filename = $this->attachment[$i][1]; + $name = $this->attachment[$i][2]; + $encoding = $this->attachment[$i][3]; + $type = $this->attachment[$i][4]; + $disposition = $this->attachment[$i][6]; + $cid = $this->attachment[$i][7]; + + $mime[] = sprintf("--%s%s", $this->boundary[1], $this->LE); + $mime[] = sprintf("Content-Type: %s; name=\"%s\"%s", $type, $name, $this->LE); + $mime[] = sprintf("Content-Transfer-Encoding: %s%s", $encoding, $this->LE); + + if($disposition == 'inline') { + $mime[] = sprintf("Content-ID: <%s>%s", $cid, $this->LE); + } + + $mime[] = sprintf("Content-Disposition: %s; filename=\"%s\"%s", $disposition, $name, $this->LE.$this->LE); + + /* Encode as string attachment */ + if($bString) { + $mime[] = $this->EncodeString($string, $encoding); + if($this->IsError()) { + return ''; + } + $mime[] = $this->LE.$this->LE; + } else { + $mime[] = $this->EncodeFile($path, $encoding); + if($this->IsError()) { + return ''; + } + $mime[] = $this->LE.$this->LE; + } + } + + $mime[] = sprintf("--%s--%s", $this->boundary[1], $this->LE); + + return join('', $mime); + } + + /** + * Encodes attachment in requested format. Returns an + * empty string on failure. + * @access private + * @return string + */ + function EncodeFile ($path, $encoding = 'base64') { + if(!@$fd = fopen($path, 'rb')) { + $this->SetError($this->Lang('file_open') . $path); + return ''; + } + $magic_quotes = get_magic_quotes_runtime(); + set_magic_quotes_runtime(0); + $file_buffer = fread($fd, filesize($path)); + $file_buffer = $this->EncodeString($file_buffer, $encoding); + fclose($fd); + set_magic_quotes_runtime($magic_quotes); + + return $file_buffer; + } + + /** + * Encodes string to requested format. Returns an + * empty string on failure. + * @access private + * @return string + */ + function EncodeString ($str, $encoding = 'base64') { + $encoded = ''; + switch(strtolower($encoding)) { + case 'base64': + /* chunk_split is found in PHP >= 3.0.6 */ + $encoded = chunk_split(base64_encode($str), 76, $this->LE); + break; + case '7bit': + case '8bit': + $encoded = $this->FixEOL($str); + if (substr($encoded, -(strlen($this->LE))) != $this->LE) + $encoded .= $this->LE; + break; + case 'binary': + $encoded = $str; + break; + case 'quoted-printable': + $encoded = $this->EncodeQP($str); + break; + default: + $this->SetError($this->Lang('encoding') . $encoding); + break; + } + return $encoded; + } + + /** + * Encode a header string to best of Q, B, quoted or none. + * @access private + * @return string + */ + function EncodeHeader ($str, $position = 'text') { + $x = 0; + + switch (strtolower($position)) { + case 'phrase': + if (!preg_match('/[\200-\377]/', $str)) { + /* Can't use addslashes as we don't know what value has magic_quotes_sybase. */ + $encoded = addcslashes($str, "\0..\37\177\\\""); + if (($str == $encoded) && !preg_match('/[^A-Za-z0-9!#$%&\'*+\/=?^_`{|}~ -]/', $str)) { + return ($encoded); + } else { + return ("\"$encoded\""); + } + } + $x = preg_match_all('/[^\040\041\043-\133\135-\176]/', $str, $matches); + break; + case 'comment': + $x = preg_match_all('/[()"]/', $str, $matches); + /* Fall-through */ + case 'text': + default: + $x += preg_match_all('/[\000-\010\013\014\016-\037\177-\377]/', $str, $matches); + break; + } + + if ($x == 0) { + return ($str); + } + + $maxlen = 75 - 7 - strlen($this->CharSet); + /* Try to select the encoding which should produce the shortest output */ + if (strlen($str)/3 < $x) { + $encoding = 'B'; + $encoded = base64_encode($str); + $maxlen -= $maxlen % 4; + $encoded = trim(chunk_split($encoded, $maxlen, "\n")); + } else { + $encoding = 'Q'; + $encoded = $this->EncodeQ($str, $position); + $encoded = $this->WrapText($encoded, $maxlen, true); + $encoded = str_replace('='.$this->LE, "\n", trim($encoded)); + } + + $encoded = preg_replace('/^(.*)$/m', " =?".$this->CharSet."?$encoding?\\1?=", $encoded); + $encoded = trim(str_replace("\n", $this->LE, $encoded)); + + return $encoded; + } + + /** + * Encode string to quoted-printable. + * @access private + * @return string + */ + function EncodeQP( $input = '', $line_max = 76, $space_conv = false ) { + $hex = array('0','1','2','3','4','5','6','7','8','9','A','B','C','D','E','F'); + $lines = preg_split('/(?:\r\n|\r|\n)/', $input); + $eol = "\r\n"; + $escape = '='; + $output = ''; + while( list(, $line) = each($lines) ) { + $linlen = strlen($line); + $newline = ''; + for($i = 0; $i < $linlen; $i++) { + $c = substr( $line, $i, 1 ); + $dec = ord( $c ); + if ( ( $i == 0 ) && ( $dec == 46 ) ) { // convert first point in the line into =2E + $c = '=2E'; + } + if ( $dec == 32 ) { + if ( $i == ( $linlen - 1 ) ) { // convert space at eol only + $c = '=20'; + } else if ( $space_conv ) { + $c = '=20'; + } + } elseif ( ($dec == 61) || ($dec < 32 ) || ($dec > 126) ) { // always encode "\t", which is *not* required + $h2 = floor($dec/16); + $h1 = floor($dec%16); + $c = $escape.$hex[$h2].$hex[$h1]; + } + if ( (strlen($newline) + strlen($c)) >= $line_max ) { // CRLF is not counted + $output .= $newline.$escape.$eol; // soft line break; " =\r\n" is okay + $newline = ''; + // check if newline first character will be point or not + if ( $dec == 46 ) { + $c = '=2E'; + } + } + $newline .= $c; + } // end of for + $output .= $newline.$eol; + } // end of while + return trim($output); + } + + /** + * Encode string to q encoding. + * @access private + * @return string + */ + function EncodeQ ($str, $position = 'text') { + /* There should not be any EOL in the string */ + $encoded = preg_replace("[\r\n]", '', $str); + + switch (strtolower($position)) { + case 'phrase': + $encoded = preg_replace("/([^A-Za-z0-9!*+\/ -])/e", "'='.sprintf('%02X', ord('\\1'))", $encoded); + break; + case 'comment': + $encoded = preg_replace("/([\(\)\"])/e", "'='.sprintf('%02X', ord('\\1'))", $encoded); + case 'text': + default: + /* Replace every high ascii, control =, ? and _ characters */ + $encoded = preg_replace('/([\000-\011\013\014\016-\037\075\077\137\177-\377])/e', + "'='.sprintf('%02X', ord('\\1'))", $encoded); + break; + } + + /* Replace every spaces to _ (more readable than =20) */ + $encoded = str_replace(' ', '_', $encoded); + + return $encoded; + } + + /** + * Adds a string or binary attachment (non-filesystem) to the list. + * This method can be used to attach ascii or binary data, + * such as a BLOB record from a database. + * @param string $string String attachment data. + * @param string $filename Name of the attachment. + * @param string $encoding File encoding (see $Encoding). + * @param string $type File extension (MIME) type. + * @return void + */ + function AddStringAttachment($string, $filename, $encoding = 'base64', $type = 'application/octet-stream') { + /* Append to $attachment array */ + $cur = count($this->attachment); + $this->attachment[$cur][0] = $string; + $this->attachment[$cur][1] = $filename; + $this->attachment[$cur][2] = $filename; + $this->attachment[$cur][3] = $encoding; + $this->attachment[$cur][4] = $type; + $this->attachment[$cur][5] = true; // isString + $this->attachment[$cur][6] = 'attachment'; + $this->attachment[$cur][7] = 0; + } + + /** + * Adds an embedded attachment. This can include images, sounds, and + * just about any other document. Make sure to set the $type to an + * image type. For JPEG images use "image/jpeg" and for GIF images + * use "image/gif". + * @param string $path Path to the attachment. + * @param string $cid Content ID of the attachment. Use this to identify + * the Id for accessing the image in an HTML form. + * @param string $name Overrides the attachment name. + * @param string $encoding File encoding (see $Encoding). + * @param string $type File extension (MIME) type. + * @return bool + */ + function AddEmbeddedImage($path, $cid, $name = '', $encoding = 'base64', $type = 'application/octet-stream') { + + if(!@is_file($path)) { + $this->SetError($this->Lang('file_access') . $path); + return false; + } + + $filename = basename($path); + if($name == '') { + $name = $filename; + } + + /* Append to $attachment array */ + $cur = count($this->attachment); + $this->attachment[$cur][0] = $path; + $this->attachment[$cur][1] = $filename; + $this->attachment[$cur][2] = $name; + $this->attachment[$cur][3] = $encoding; + $this->attachment[$cur][4] = $type; + $this->attachment[$cur][5] = false; + $this->attachment[$cur][6] = 'inline'; + $this->attachment[$cur][7] = $cid; + + return true; + } + + /** + * Returns true if an inline attachment is present. + * @access private + * @return bool + */ + function InlineImageExists() { + $result = false; + for($i = 0; $i < count($this->attachment); $i++) { + if($this->attachment[$i][6] == 'inline') { + $result = true; + break; + } + } + + return $result; + } + + ///////////////////////////////////////////////// + // CLASS METHODS, MESSAGE RESET + ///////////////////////////////////////////////// + + /** + * Clears all recipients assigned in the TO array. Returns void. + * @return void + */ + function ClearAddresses() { + $this->to = array(); + } + + /** + * Clears all recipients assigned in the CC array. Returns void. + * @return void + */ + function ClearCCs() { + $this->cc = array(); + } + + /** + * Clears all recipients assigned in the BCC array. Returns void. + * @return void + */ + function ClearBCCs() { + $this->bcc = array(); + } + + /** + * Clears all recipients assigned in the ReplyTo array. Returns void. + * @return void + */ + function ClearReplyTos() { + $this->ReplyTo = array(); + } + + /** + * Clears all recipients assigned in the TO, CC and BCC + * array. Returns void. + * @return void + */ + function ClearAllRecipients() { + $this->to = array(); + $this->cc = array(); + $this->bcc = array(); + } + + /** + * Clears all previously set filesystem, string, and binary + * attachments. Returns void. + * @return void + */ + function ClearAttachments() { + $this->attachment = array(); + } + + /** + * Clears all custom headers. Returns void. + * @return void + */ + function ClearCustomHeaders() { + $this->CustomHeader = array(); + } + + ///////////////////////////////////////////////// + // CLASS METHODS, MISCELLANEOUS + ///////////////////////////////////////////////// + + /** + * Adds the error message to the error container. + * Returns void. + * @access private + * @return void + */ + function SetError($msg) { + $this->error_count++; + $this->ErrorInfo = $msg; + } + + /** + * Returns the proper RFC 822 formatted date. + * @access private + * @return string + */ + function RFCDate() { + $tz = date('Z'); + $tzs = ($tz < 0) ? '-' : '+'; + $tz = abs($tz); + $tz = (int)($tz/3600)*100 + ($tz%3600)/60; + $result = sprintf("%s %s%04d", date('D, j M Y H:i:s'), $tzs, $tz); + + return $result; + } + + /** + * Returns the appropriate server variable. Should work with both + * PHP 4.1.0+ as well as older versions. Returns an empty string + * if nothing is found. + * @access private + * @return mixed + */ + function ServerVar($varName) { + global $HTTP_SERVER_VARS; + global $HTTP_ENV_VARS; + + if(!isset($_SERVER)) { + $_SERVER = $HTTP_SERVER_VARS; + if(!isset($_SERVER['REMOTE_ADDR'])) { + $_SERVER = $HTTP_ENV_VARS; // must be Apache + } + } + + if(isset($_SERVER[$varName])) { + return $_SERVER[$varName]; + } else { + return ''; + } + } + + /** + * Returns the server hostname or 'localhost.localdomain' if unknown. + * @access private + * @return string + */ + function ServerHostname() { + if ($this->Hostname != '') { + $result = $this->Hostname; + } elseif ($this->ServerVar('SERVER_NAME') != '') { + $result = $this->ServerVar('SERVER_NAME'); + } else { + $result = 'localhost.localdomain'; + } + + return $result; + } + + /** + * Returns a message in the appropriate language. + * @access private + * @return string + */ + function Lang($key) { + if(count($this->language) < 1) { + $this->SetLanguage('en'); // set the default language + } + + if(isset($this->language[$key])) { + return $this->language[$key]; + } else { + return 'Language string failed to load: ' . $key; + } + } + + /** + * Returns true if an error occurred. + * @return bool + */ + function IsError() { + return ($this->error_count > 0); + } + + /** + * Changes every end of line from CR or LF to CRLF. + * @access private + * @return string + */ + function FixEOL($str) { + $str = str_replace("\r\n", "\n", $str); + $str = str_replace("\r", "\n", $str); + $str = str_replace("\n", $this->LE, $str); + return $str; + } + + /** + * Adds a custom header. + * @return void + */ + function AddCustomHeader($custom_header) { + $this->CustomHeader[] = explode(':', $custom_header, 2); + } + + /** + * Evaluates the message and returns modifications for inline images and backgrounds + * @access public + * @return $message + */ + function MsgHTML($message) { + preg_match_all("/(src|background)=\"(.*)\"/Ui", $message, $images); + if(isset($images[2])) { + foreach($images[2] as $i => $url) { + $filename = basename($url); + $directory = dirname($url); + $cid = 'cid:' . md5($filename); + $fileParts = split("\.", $filename); + $ext = $fileParts[1]; + $mimeType = $this->_mime_types($ext); + $message = preg_replace("/".$images[1][$i]."=\"".preg_quote($url, '/')."\"/Ui", $images[1][$i]."=\"".$cid."\"", $message); + $this->AddEmbeddedImage($url, md5($filename), $filename, 'base64', $mimeType); + } + } + $this->IsHTML(true); + $this->Body = $message; + $textMsg = trim(strip_tags($message)); + if ( !empty($textMsg) && empty($this->AltBody) ) { + $this->AltBody = $textMsg; + } + if ( empty($this->AltBody) ) { + $this->AltBody = 'To view this email message, open the email in with HTML compatibility!' . "\n\n"; + } + } + + /** + * Gets the mime type of the embedded or inline image + * @access private + * @return mime type of ext + */ + function _mime_types($ext = '') { + $mimes = array( + 'hqx' => 'application/mac-binhex40', + 'cpt' => 'application/mac-compactpro', + 'doc' => 'application/msword', + 'bin' => 'application/macbinary', + 'dms' => 'application/octet-stream', + 'lha' => 'application/octet-stream', + 'lzh' => 'application/octet-stream', + 'exe' => 'application/octet-stream', + 'class' => 'application/octet-stream', + 'psd' => 'application/octet-stream', + 'so' => 'application/octet-stream', + 'sea' => 'application/octet-stream', + 'dll' => 'application/octet-stream', + 'oda' => 'application/oda', + 'pdf' => 'application/pdf', + 'ai' => 'application/postscript', + 'eps' => 'application/postscript', + 'ps' => 'application/postscript', + 'smi' => 'application/smil', + 'smil' => 'application/smil', + 'mif' => 'application/vnd.mif', + 'xls' => 'application/vnd.ms-excel', + 'ppt' => 'application/vnd.ms-powerpoint', + 'wbxml' => 'application/vnd.wap.wbxml', + 'wmlc' => 'application/vnd.wap.wmlc', + 'dcr' => 'application/x-director', + 'dir' => 'application/x-director', + 'dxr' => 'application/x-director', + 'dvi' => 'application/x-dvi', + 'gtar' => 'application/x-gtar', + 'php' => 'application/x-httpd-php', + 'php4' => 'application/x-httpd-php', + 'php3' => 'application/x-httpd-php', + 'phtml' => 'application/x-httpd-php', + 'phps' => 'application/x-httpd-php-source', + 'js' => 'application/x-javascript', + 'swf' => 'application/x-shockwave-flash', + 'sit' => 'application/x-stuffit', + 'tar' => 'application/x-tar', + 'tgz' => 'application/x-tar', + 'xhtml' => 'application/xhtml+xml', + 'xht' => 'application/xhtml+xml', + 'zip' => 'application/zip', + 'mid' => 'audio/midi', + 'midi' => 'audio/midi', + 'mpga' => 'audio/mpeg', + 'mp2' => 'audio/mpeg', + 'mp3' => 'audio/mpeg', + 'aif' => 'audio/x-aiff', + 'aiff' => 'audio/x-aiff', + 'aifc' => 'audio/x-aiff', + 'ram' => 'audio/x-pn-realaudio', + 'rm' => 'audio/x-pn-realaudio', + 'rpm' => 'audio/x-pn-realaudio-plugin', + 'ra' => 'audio/x-realaudio', + 'rv' => 'video/vnd.rn-realvideo', + 'wav' => 'audio/x-wav', + 'bmp' => 'image/bmp', + 'gif' => 'image/gif', + 'jpeg' => 'image/jpeg', + 'jpg' => 'image/jpeg', + 'jpe' => 'image/jpeg', + 'png' => 'image/png', + 'tiff' => 'image/tiff', + 'tif' => 'image/tiff', + 'css' => 'text/css', + 'html' => 'text/html', + 'htm' => 'text/html', + 'shtml' => 'text/html', + 'txt' => 'text/plain', + 'text' => 'text/plain', + 'log' => 'text/plain', + 'rtx' => 'text/richtext', + 'rtf' => 'text/rtf', + 'xml' => 'text/xml', + 'xsl' => 'text/xml', + 'mpeg' => 'video/mpeg', + 'mpg' => 'video/mpeg', + 'mpe' => 'video/mpeg', + 'qt' => 'video/quicktime', + 'mov' => 'video/quicktime', + 'avi' => 'video/x-msvideo', + 'movie' => 'video/x-sgi-movie', + 'doc' => 'application/msword', + 'word' => 'application/msword', + 'xl' => 'application/excel', + 'eml' => 'message/rfc822' + ); + return ( ! isset($mimes[strtolower($ext)])) ? 'application/x-unknown-content-type' : $mimes[strtolower($ext)]; + } + + /** + * Set (or reset) Class Objects (variables) + * + * Usage Example: + * $page->set('X-Priority', '3'); + * + * @access public + * @param string $name Parameter Name + * @param mixed $value Parameter Value + * NOTE: will not work with arrays, there are no arrays to set/reset + */ + function set ( $name, $value = '' ) { + if ( isset($this->$name) ) { + $this->$name = $value; + } else { + $this->SetError('Cannot set or reset variable ' . $name); + return false; + } + } + + /** + * Read a file from a supplied filename and return it. + * + * @access public + * @param string $filename Parameter File Name + */ + function getFile($filename) { + $return = ''; + if ($fp = fopen($filename, 'rb')) { + while (!feof($fp)) { + $return .= fread($fp, 1024); + } + fclose($fp); + return $return; + } else { + return false; + } + } + + /** + * Strips newlines to prevent header injection. + * @access private + * @param string $str String + * @return string + */ + function SecureHeader($str) { + $str = trim($str); + $str = str_replace("\r", "", $str); + $str = str_replace("\n", "", $str); + return $str; + } + +} + +?> diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/registration/class.smtp.php --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/registration/class.smtp.php Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,1062 @@ +smtp_conn = 0; + $this->error = null; + $this->helo_rply = null; + + $this->do_debug = 0; + } + + /************************************************************* + * CONNECTION FUNCTIONS * + ***********************************************************/ + + /** + * Connect to the server specified on the port specified. + * If the port is not specified use the default SMTP_PORT. + * If tval is specified then a connection will try and be + * established with the server for that number of seconds. + * If tval is not specified the default is 30 seconds to + * try on the connection. + * + * SMTP CODE SUCCESS: 220 + * SMTP CODE FAILURE: 421 + * @access public + * @return bool + */ + function Connect($host,$port=0,$tval=30) { + # set the error val to null so there is no confusion + $this->error = null; + + # make sure we are __not__ connected + if($this->connected()) { + # ok we are connected! what should we do? + # for now we will just give an error saying we + # are already connected + $this->error = array("error" => "Already connected to a server"); + return false; + } + + if(empty($port)) { + $port = $this->SMTP_PORT; + } + + #connect to the smtp server + $this->smtp_conn = fsockopen($host, # the host of the server + $port, # the port to use + $errno, # error number if any + $errstr, # error message if any + $tval); # give up after ? secs + # verify we connected properly + if(empty($this->smtp_conn)) { + $this->error = array("error" => "Failed to connect to server", + "errno" => $errno, + "errstr" => $errstr); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": $errstr ($errno)" . $this->CRLF; + } + return false; + } + + # sometimes the SMTP server takes a little longer to respond + # so we will give it a longer timeout for the first read + // Windows still does not have support for this timeout function + if(substr(PHP_OS, 0, 3) != "WIN") + socket_set_timeout($this->smtp_conn, $tval, 0); + + # get any announcement stuff + $announce = $this->get_lines(); + + # set the timeout of any socket functions at 1/10 of a second + //if(function_exists("socket_set_timeout")) + // socket_set_timeout($this->smtp_conn, 0, 100000); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $announce; + } + + return true; + } + + /** + * Performs SMTP authentication. Must be run after running the + * Hello() method. Returns true if successfully authenticated. + * @access public + * @return bool + */ + function Authenticate($username, $password) { + // Start authentication + fputs($this->smtp_conn,"AUTH LOGIN" . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($code != 334) { + $this->error = + array("error" => "AUTH not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + + // Send encoded username + fputs($this->smtp_conn, base64_encode($username) . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($code != 334) { + $this->error = + array("error" => "Username not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + + // Send encoded password + fputs($this->smtp_conn, base64_encode($password) . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($code != 235) { + $this->error = + array("error" => "Password not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + + return true; + } + + /** + * Returns true if connected to a server otherwise false + * @access private + * @return bool + */ + function Connected() { + if(!empty($this->smtp_conn)) { + $sock_status = socket_get_status($this->smtp_conn); + if($sock_status["eof"]) { + # hmm this is an odd situation... the socket is + # valid but we are not connected anymore + if($this->do_debug >= 1) { + echo "SMTP -> NOTICE:" . $this->CRLF . + "EOF caught while checking if connected"; + } + $this->Close(); + return false; + } + return true; # everything looks good + } + return false; + } + + /** + * Closes the socket and cleans up the state of the class. + * It is not considered good to use this function without + * first trying to use QUIT. + * @access public + * @return void + */ + function Close() { + $this->error = null; # so there is no confusion + $this->helo_rply = null; + if(!empty($this->smtp_conn)) { + # close the connection and cleanup + fclose($this->smtp_conn); + $this->smtp_conn = 0; + } + } + + /*************************************************************** + * SMTP COMMANDS * + *************************************************************/ + + /** + * Issues a data command and sends the msg_data to the server + * finializing the mail transaction. $msg_data is the message + * that is to be send with the headers. Each header needs to be + * on a single line followed by a with the message headers + * and the message body being seperated by and additional . + * + * Implements rfc 821: DATA + * + * SMTP CODE INTERMEDIATE: 354 + * [data] + * . + * SMTP CODE SUCCESS: 250 + * SMTP CODE FAILURE: 552,554,451,452 + * SMTP CODE FAILURE: 451,554 + * SMTP CODE ERROR : 500,501,503,421 + * @access public + * @return bool + */ + function Data($msg_data) { + $this->error = null; # so no confusion is caused + + if(!$this->connected()) { + $this->error = array( + "error" => "Called Data() without being connected"); + return false; + } + + fputs($this->smtp_conn,"DATA" . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 354) { + $this->error = + array("error" => "DATA command not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + + # the server is ready to accept data! + # according to rfc 821 we should not send more than 1000 + # including the CRLF + # characters on a single line so we will break the data up + # into lines by \r and/or \n then if needed we will break + # each of those into smaller lines to fit within the limit. + # in addition we will be looking for lines that start with + # a period '.' and append and additional period '.' to that + # line. NOTE: this does not count towards are limit. + + # normalize the line breaks so we know the explode works + $msg_data = str_replace("\r\n","\n",$msg_data); + $msg_data = str_replace("\r","\n",$msg_data); + $lines = explode("\n",$msg_data); + + # we need to find a good way to determine is headers are + # in the msg_data or if it is a straight msg body + # currently I am assuming rfc 822 definitions of msg headers + # and if the first field of the first line (':' sperated) + # does not contain a space then it _should_ be a header + # and we can process all lines before a blank "" line as + # headers. + $field = substr($lines[0],0,strpos($lines[0],":")); + $in_headers = false; + if(!empty($field) && !strstr($field," ")) { + $in_headers = true; + } + + $max_line_length = 998; # used below; set here for ease in change + + while(list(,$line) = @each($lines)) { + $lines_out = null; + if($line == "" && $in_headers) { + $in_headers = false; + } + # ok we need to break this line up into several + # smaller lines + while(strlen($line) > $max_line_length) { + $pos = strrpos(substr($line,0,$max_line_length)," "); + + # Patch to fix DOS attack + if(!$pos) { + $pos = $max_line_length - 1; + } + + $lines_out[] = substr($line,0,$pos); + $line = substr($line,$pos + 1); + # if we are processing headers we need to + # add a LWSP-char to the front of the new line + # rfc 822 on long msg headers + if($in_headers) { + $line = "\t" . $line; + } + } + $lines_out[] = $line; + + # now send the lines to the server + while(list(,$line_out) = @each($lines_out)) { + if(strlen($line_out) > 0) + { + if(substr($line_out, 0, 1) == ".") { + $line_out = "." . $line_out; + } + } + fputs($this->smtp_conn,$line_out . $this->CRLF); + } + } + + # ok all the message data has been sent so lets get this + # over with aleady + fputs($this->smtp_conn, $this->CRLF . "." . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 250) { + $this->error = + array("error" => "DATA not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + return true; + } + + /** + * Expand takes the name and asks the server to list all the + * people who are members of the _list_. Expand will return + * back and array of the result or false if an error occurs. + * Each value in the array returned has the format of: + * [ ] + * The definition of is defined in rfc 821 + * + * Implements rfc 821: EXPN + * + * SMTP CODE SUCCESS: 250 + * SMTP CODE FAILURE: 550 + * SMTP CODE ERROR : 500,501,502,504,421 + * @access public + * @return string array + */ + function Expand($name) { + $this->error = null; # so no confusion is caused + + if(!$this->connected()) { + $this->error = array( + "error" => "Called Expand() without being connected"); + return false; + } + + fputs($this->smtp_conn,"EXPN " . $name . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 250) { + $this->error = + array("error" => "EXPN not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + + # parse the reply and place in our array to return to user + $entries = explode($this->CRLF,$rply); + while(list(,$l) = @each($entries)) { + $list[] = substr($l,4); + } + + return $list; + } + + /** + * Sends the HELO command to the smtp server. + * This makes sure that we and the server are in + * the same known state. + * + * Implements from rfc 821: HELO + * + * SMTP CODE SUCCESS: 250 + * SMTP CODE ERROR : 500, 501, 504, 421 + * @access public + * @return bool + */ + function Hello($host="") { + $this->error = null; # so no confusion is caused + + if(!$this->connected()) { + $this->error = array( + "error" => "Called Hello() without being connected"); + return false; + } + + # if a hostname for the HELO was not specified determine + # a suitable one to send + if(empty($host)) { + # we need to determine some sort of appopiate default + # to send to the server + $host = "localhost"; + } + + // Send extended hello first (RFC 2821) + if(!$this->SendHello("EHLO", $host)) + { + if(!$this->SendHello("HELO", $host)) + return false; + } + + return true; + } + + /** + * Sends a HELO/EHLO command. + * @access private + * @return bool + */ + function SendHello($hello, $host) { + fputs($this->smtp_conn, $hello . " " . $host . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER: " . $this->CRLF . $rply; + } + + if($code != 250) { + $this->error = + array("error" => $hello . " not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + + $this->helo_rply = $rply; + + return true; + } + + /** + * Gets help information on the keyword specified. If the keyword + * is not specified then returns generic help, ussually contianing + * A list of keywords that help is available on. This function + * returns the results back to the user. It is up to the user to + * handle the returned data. If an error occurs then false is + * returned with $this->error set appropiately. + * + * Implements rfc 821: HELP [ ] + * + * SMTP CODE SUCCESS: 211,214 + * SMTP CODE ERROR : 500,501,502,504,421 + * @access public + * @return string + */ + function Help($keyword="") { + $this->error = null; # to avoid confusion + + if(!$this->connected()) { + $this->error = array( + "error" => "Called Help() without being connected"); + return false; + } + + $extra = ""; + if(!empty($keyword)) { + $extra = " " . $keyword; + } + + fputs($this->smtp_conn,"HELP" . $extra . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 211 && $code != 214) { + $this->error = + array("error" => "HELP not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + + return $rply; + } + + /** + * Starts a mail transaction from the email address specified in + * $from. Returns true if successful or false otherwise. If True + * the mail transaction is started and then one or more Recipient + * commands may be called followed by a Data command. + * + * Implements rfc 821: MAIL FROM: + * + * SMTP CODE SUCCESS: 250 + * SMTP CODE SUCCESS: 552,451,452 + * SMTP CODE SUCCESS: 500,501,421 + * @access public + * @return bool + */ + function Mail($from) { + $this->error = null; # so no confusion is caused + + if(!$this->connected()) { + $this->error = array( + "error" => "Called Mail() without being connected"); + return false; + } + + $useVerp = ($this->do_verp ? "XVERP" : ""); + fputs($this->smtp_conn,"MAIL FROM:<" . $from . ">" . $useVerp . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 250) { + $this->error = + array("error" => "MAIL not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + return true; + } + + /** + * Sends the command NOOP to the SMTP server. + * + * Implements from rfc 821: NOOP + * + * SMTP CODE SUCCESS: 250 + * SMTP CODE ERROR : 500, 421 + * @access public + * @return bool + */ + function Noop() { + $this->error = null; # so no confusion is caused + + if(!$this->connected()) { + $this->error = array( + "error" => "Called Noop() without being connected"); + return false; + } + + fputs($this->smtp_conn,"NOOP" . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 250) { + $this->error = + array("error" => "NOOP not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + return true; + } + + /** + * Sends the quit command to the server and then closes the socket + * if there is no error or the $close_on_error argument is true. + * + * Implements from rfc 821: QUIT + * + * SMTP CODE SUCCESS: 221 + * SMTP CODE ERROR : 500 + * @access public + * @return bool + */ + function Quit($close_on_error=true) { + $this->error = null; # so there is no confusion + + if(!$this->connected()) { + $this->error = array( + "error" => "Called Quit() without being connected"); + return false; + } + + # send the quit command to the server + fputs($this->smtp_conn,"quit" . $this->CRLF); + + # get any good-bye messages + $byemsg = $this->get_lines(); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $byemsg; + } + + $rval = true; + $e = null; + + $code = substr($byemsg,0,3); + if($code != 221) { + # use e as a tmp var cause Close will overwrite $this->error + $e = array("error" => "SMTP server rejected quit command", + "smtp_code" => $code, + "smtp_rply" => substr($byemsg,4)); + $rval = false; + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $e["error"] . ": " . + $byemsg . $this->CRLF; + } + } + + if(empty($e) || $close_on_error) { + $this->Close(); + } + + return $rval; + } + + /** + * Sends the command RCPT to the SMTP server with the TO: argument of $to. + * Returns true if the recipient was accepted false if it was rejected. + * + * Implements from rfc 821: RCPT TO: + * + * SMTP CODE SUCCESS: 250,251 + * SMTP CODE FAILURE: 550,551,552,553,450,451,452 + * SMTP CODE ERROR : 500,501,503,421 + * @access public + * @return bool + */ + function Recipient($to) { + $this->error = null; # so no confusion is caused + + if(!$this->connected()) { + $this->error = array( + "error" => "Called Recipient() without being connected"); + return false; + } + + fputs($this->smtp_conn,"RCPT TO:<" . $to . ">" . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 250 && $code != 251) { + $this->error = + array("error" => "RCPT not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + return true; + } + + /** + * Sends the RSET command to abort and transaction that is + * currently in progress. Returns true if successful false + * otherwise. + * + * Implements rfc 821: RSET + * + * SMTP CODE SUCCESS: 250 + * SMTP CODE ERROR : 500,501,504,421 + * @access public + * @return bool + */ + function Reset() { + $this->error = null; # so no confusion is caused + + if(!$this->connected()) { + $this->error = array( + "error" => "Called Reset() without being connected"); + return false; + } + + fputs($this->smtp_conn,"RSET" . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 250) { + $this->error = + array("error" => "RSET failed", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + + return true; + } + + /** + * Starts a mail transaction from the email address specified in + * $from. Returns true if successful or false otherwise. If True + * the mail transaction is started and then one or more Recipient + * commands may be called followed by a Data command. This command + * will send the message to the users terminal if they are logged + * in. + * + * Implements rfc 821: SEND FROM: + * + * SMTP CODE SUCCESS: 250 + * SMTP CODE SUCCESS: 552,451,452 + * SMTP CODE SUCCESS: 500,501,502,421 + * @access public + * @return bool + */ + function Send($from) { + $this->error = null; # so no confusion is caused + + if(!$this->connected()) { + $this->error = array( + "error" => "Called Send() without being connected"); + return false; + } + + fputs($this->smtp_conn,"SEND FROM:" . $from . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 250) { + $this->error = + array("error" => "SEND not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + return true; + } + + /** + * Starts a mail transaction from the email address specified in + * $from. Returns true if successful or false otherwise. If True + * the mail transaction is started and then one or more Recipient + * commands may be called followed by a Data command. This command + * will send the message to the users terminal if they are logged + * in and send them an email. + * + * Implements rfc 821: SAML FROM: + * + * SMTP CODE SUCCESS: 250 + * SMTP CODE SUCCESS: 552,451,452 + * SMTP CODE SUCCESS: 500,501,502,421 + * @access public + * @return bool + */ + function SendAndMail($from) { + $this->error = null; # so no confusion is caused + + if(!$this->connected()) { + $this->error = array( + "error" => "Called SendAndMail() without being connected"); + return false; + } + + fputs($this->smtp_conn,"SAML FROM:" . $from . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 250) { + $this->error = + array("error" => "SAML not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + return true; + } + + /** + * Starts a mail transaction from the email address specified in + * $from. Returns true if successful or false otherwise. If True + * the mail transaction is started and then one or more Recipient + * commands may be called followed by a Data command. This command + * will send the message to the users terminal if they are logged + * in or mail it to them if they are not. + * + * Implements rfc 821: SOML FROM: + * + * SMTP CODE SUCCESS: 250 + * SMTP CODE SUCCESS: 552,451,452 + * SMTP CODE SUCCESS: 500,501,502,421 + * @access public + * @return bool + */ + function SendOrMail($from) { + $this->error = null; # so no confusion is caused + + if(!$this->connected()) { + $this->error = array( + "error" => "Called SendOrMail() without being connected"); + return false; + } + + fputs($this->smtp_conn,"SOML FROM:" . $from . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 250) { + $this->error = + array("error" => "SOML not accepted from server", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + return true; + } + + /** + * This is an optional command for SMTP that this class does not + * support. This method is here to make the RFC821 Definition + * complete for this class and __may__ be implimented in the future + * + * Implements from rfc 821: TURN + * + * SMTP CODE SUCCESS: 250 + * SMTP CODE FAILURE: 502 + * SMTP CODE ERROR : 500, 503 + * @access public + * @return bool + */ + function Turn() { + $this->error = array("error" => "This method, TURN, of the SMTP ". + "is not implemented"); + if($this->do_debug >= 1) { + echo "SMTP -> NOTICE: " . $this->error["error"] . $this->CRLF; + } + return false; + } + + /** + * Verifies that the name is recognized by the server. + * Returns false if the name could not be verified otherwise + * the response from the server is returned. + * + * Implements rfc 821: VRFY + * + * SMTP CODE SUCCESS: 250,251 + * SMTP CODE FAILURE: 550,551,553 + * SMTP CODE ERROR : 500,501,502,421 + * @access public + * @return int + */ + function Verify($name) { + $this->error = null; # so no confusion is caused + + if(!$this->connected()) { + $this->error = array( + "error" => "Called Verify() without being connected"); + return false; + } + + fputs($this->smtp_conn,"VRFY " . $name . $this->CRLF); + + $rply = $this->get_lines(); + $code = substr($rply,0,3); + + if($this->do_debug >= 2) { + echo "SMTP -> FROM SERVER:" . $this->CRLF . $rply; + } + + if($code != 250 && $code != 251) { + $this->error = + array("error" => "VRFY failed on name '$name'", + "smtp_code" => $code, + "smtp_msg" => substr($rply,4)); + if($this->do_debug >= 1) { + echo "SMTP -> ERROR: " . $this->error["error"] . + ": " . $rply . $this->CRLF; + } + return false; + } + return $rply; + } + + /******************************************************************* + * INTERNAL FUNCTIONS * + ******************************************************************/ + + /** + * Read in as many lines as possible + * either before eof or socket timeout occurs on the operation. + * With SMTP we can tell if we have more lines to read if the + * 4th character is '-' symbol. If it is a space then we don't + * need to read anything else. + * @access private + * @return string + */ + function get_lines() { + $data = ""; + while($str = @fgets($this->smtp_conn,515)) { + if($this->do_debug >= 4) { + echo "SMTP -> get_lines(): \$data was \"$data\"" . + $this->CRLF; + echo "SMTP -> get_lines(): \$str is \"$str\"" . + $this->CRLF; + } + $data .= $str; + if($this->do_debug >= 4) { + echo "SMTP -> get_lines(): \$data is \"$data\"" . $this->CRLF; + } + # if the 4th character is a space then we are done reading + # so just break the loop + if(substr($str,3,1) == " ") { break; } + } + return $data; + } + +} + + + ?> diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/registration/confirm.php --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/registration/confirm.php Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,284 @@ + + + + + +Confirmation Page + + + + +Invalid e-mail address. Please use back to change it...\n"; + +die ("Go back! ! "); +} + +if(empty($firstName) || empty($lastName) || empty($badgeName) ) { +echo "

Please use back to complete all required fields...

\n"; +die ("Use back! ! "); +} + +//search for special characters such as , and " ' +//replace them with - and ^ +// " first +$bad=array('\"','\''); +$good="^"; +$title = str_replace($bad,$good,$title); +$firstName = str_replace($bad,$good,$firstName); +$lastName = str_replace($bad,$good,$lastName); +$email = str_replace($bad,$good,$email); +$phone = str_replace($bad,$good,$phone); +$fax = str_replace($bad,$good,$fax); +$organisation = str_replace($bad,$good,$organisation); +$street = str_replace($bad,$good,$street); +$city = str_replace($bad,$good,$city); +$postcode = str_replace($bad,$good,$postcode); +$country = str_replace($bad,$good,$country); +$regType = str_replace($bad,$good,$regType); +$posterpaper = str_replace($bad,$good,$posterpaper); +$badgeName = str_replace($bad,$good,$badgeName); +$dietaryRequirements = str_replace($bad,$good,$dietaryRequirements); +$specialNeeds=str_replace($bad,$good,$specialNeeds); +// ,second + +$title = str_replace(",","-",$title); +$firstName = str_replace(",","-",$firstName); +$lastName = str_replace(",","-",$lastName); +$email = str_replace(",","-",$email); +$phone = str_replace(",","-",$phone); +$fax = str_replace(",","-",$fax); +$organisation = str_replace(",","-",$organisation); +$street = str_replace(",","-",$street); +$city = str_replace(",","-",$city); +$postcode = str_replace(",","-",$postcode); +$country = str_replace(",","-",$country); +$regType = str_replace(",","-",$regType); +$posterpaper = str_replace(",","-",$posterpaper); +$badgeName = str_replace(",","-",$badgeName); +$dietaryRequirements = str_replace(",","-",$dietaryRequirements); +$specialNeeds=str_replace(",","-",$specialNeeds); + + +//check if the email already existed + +//loop through the file +$CSVDIR = "./"; // directory for csv files... +$CSVFILE = "reginfo.csv"; // csv file name +$cols= "$title,$firstName,$lastName,$email,$phone,$fax,$organisation,$street,$city,$postcode,$country,$regType,$posterpaper,$badgeName,$dietaryRequirements,$specialNeeds\n"; + +$found = false; +$fhandle = fopen ($CSVFILE,'r'); + + + while (!feof($fhandle) && !$found) { + + $buffer = fgets($fhandle); + + + if (strstr($buffer, $email)) $found= true; + } + + +fclose($fhandle); + +if ( $found==true) +{ +echo "

You have already registered using this email address. Please use back to register using different email address...

\n"; +die ("Use back! ! "); +} + + + + + +$confirmWin="
+ +Please review the information below and then click confirm to submit the application form or click back to update it. +
+ + + + + + + + + + + + + + + + + + +
"; + +if(!empty($okk) ) { +//internal message +$message = "Title: $title \n +First Name: $firstName \n +Last Name: $lastName \n +Email address: $email\n +Phone number: $phone \n +Fax number: $fax \n +Organisation: $organisation \n +Street / P.O. Box: $street \n +City: $city \n +Postal/Zip code: $postcode \n +Country: $country \n +Registraton Type: $regType \n +Poster/Paper: $posterpaper \n +Name to appear on Badge: $badgeName \n +Special Dietary requirements: $dietaryRequirements\n +Special Needs: $specialNeeds +"; + +$from = "tphols@in.tum.de"; + +$subject="TPHOLs 2009 Registration Confirmation"; + + + + +$mail = new PHPMailer(); +$mail->IsSMTP(); +$mail->Host = "mailbroy.in.tum.de"; + + + + +$mail->From = $from; +$mail->FromName = "TPHOLs 2009"; +$mail->Subject = $subject; +$mail->Body = $message; +$mail->AddAddress($from, ""); + +if(!$mail->Send()) { +echo 'Mailer error: ' . $mail->ErrorInfo; +} else { +} + + + + + +//confirmation message +$message = "Thank for you registering for TPHOLs 2009. We received your information.\nIf you have not done so already, please pay your registration fee via MuenchenTicket.\n\nTPHOLs 2009 Organizing Committee"; +$from = "tphols@in.tum.de"; + +$subject="TPHOLs 2009 Registration Confirmation"; +//mail($email, $subject, $message, $from); +$mail = new PHPMailer(); +$mail->IsSMTP(); +$mail->Host = "mailbroy.in.tum.de"; + + +$mail->From = $from; +$mail->FromName = "TPHOLs 2009"; +$mail->Subject = $subject; +$mail->Body = $message; +$mail->AddAddress($email, ""); + +if(!$mail->Send()) { +echo 'Mailer error: '. $mail->ErrorInfo; + +} else { +} + + +//store information +$CSVDIR = "./"; // directory for csv files... +$CSVFILE = "reginfo.csv"; // csv file name +$cols= "$title,$firstName,$lastName,$email,$phone,$fax,$organisation,$street,$city,$postcode,$country,$regType,$posterpaper,$badgeName,$dietaryRequirements,$specialNeeds\n"; + +$file_handle = fopen($CSVFILE, "a"); +fwrite($file_handle, $cols); + + +fclose($file_handle); + + + + +// print report +$res="
+The Registration process is completed. You will receive a confirmation e-mail in a few minutes. +
+ +

If you have not done so already, please pay your registration fee via MuenchenTicket. +Registration is not assured until payment has been received. +

+ +
+TPHOLs 2009 +"; +echo $res; + +} +else { + +$message = "Title: $title
+First Name: $firstName
+Last Name: $lastName
+Email address: $email
+Phone number: $phone
+Fax number: $fax
+Organisation: $organisation
+Street / P.O. Box: $street
+City: $city
+Postal/Zip code: $postcode
+Country: $country
+Registraton Type: $regType
+Poster/Paper: $posterpaper
+Name to appear on Badge: $badgeName
+Special Dietary requirements: $dietaryRequirements
+Special Needs: $specialNeeds

+ +"; +echo $confirmWin; + echo $message ; + +} +?> + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/registration/reg.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/registration/reg.html Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,183 @@ + + + +TPHOLs 2009 Registration + + + + + + + + + + + + + +
+ +

+ +Marienplatz +
+Marienplatz (city centre)
+

+ +

+ +Englischer Garten +
+The English Garden
+

+ +

+ +Chinesischer Turm +
+Chinese Tower (famous beer garden)
+

+ +

+ +Computer science building +
The Computer Science building of the TUM
+

+ +

+ +Main hall of the computer science building +
+The main hall in the CS-building
+

+ +

+ +The river Isar +
+The Isar river
+

+ +

+ +poster +
+The conference poster
+

+ +		 + +
+[Important Dates] +[Paper Submission] +[Committees] +[Venue and Programme] +[Workshops] +[Travel and Accommodation] +[Registration] +[Our Sponsors] +
+

+ + +

TPHOLs 2009 Registration

+ +
+
+
Contact Information
+

+

+ + + + + + + + + + + + + +
Title
First name *
Last name *
Email address *
Phone number
Fax number
+
+

+

Billing Address (if different from the one specified at MünchenTicket)
+

+

+ + + + + + + + + + + +
Organisation
Street / P.O. Box
City
Postal/ZIP code
Country
+
+

+

Registration Information
+

+

+ + + + + + + + + + +
Registration Type
Poster/Paper
Special dietary requirements:
(e.g. vegetarian)
Special needs:
(e.g. wheelchair access)
Name to appear on Badge: *
+
+

+

Submit Information
+

+

+ + + + +
 
* Required fields.
+
+
+
+ +
+ +
+ + +Last modified: Tue May 12 00:16:58 CEST 2009 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/activities/tphols09/registration/registration.php --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/tphols09/registration/registration.php Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,69 @@ + +
+
+
Contact Information
+
+ + + + + + + + + + + + + +
Title
First name *
Last name *
Email address *
Phone number *
Fax number *
+
+
Billing Address
+
+ + + + + + + + + + +
Organisation *
Street / P.O. Box
City *
Postal/ZIP code *
Country *
+
+
Registration Information
+
+ + + + + + + + + + + +
Registration Type
Poster/Paper
Special dietary requirements:
(e.g. vegetarian)
Special needs:
(e.g. wheelchair access)
Name to appear on Badge: *
+
+
Submit Information
+
+ + + + +
 
* Required fields.
+
+
+
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Wilkinson +%% April 21, 2006 +%% +%% Create background, either centered, tiled, or in any corner +%% relies heavily on eso-pic.sty, corrects for changes in \hoffset +%% by classes such as sciposter.cls +%% Problems, bugs and comments to +%% michael@cs.rug.nl +%% version 1.10, 2006/04/21: +%% - Commands added for corner wallpapers +%% +%% version 1.01, 2005/01/18: +%% - \providecommand{\LenToUnit} included to be compatible +%% with earlier versions of eso-pic.sty +%% +%% version 1.00, 2004/12/22: +%% - first release +%% +%% +\ProvidesPackage{wallpaper}[2005/01/18, v1.01 easy wallpaper formatting (MHFW)] +\NeedsTeXFormat{LaTeX2e}[1995/06/01] + +\RequirePackage{ifthen} +\RequirePackage{calc} +\RequirePackage{eso-pic} +\RequirePackage{graphicx} + +\providecommand{\LenToUnit}[1]{#1\@gobble} + + +\newlength{\wpXoffset} +\setlength{\wpXoffset}{-\hoffset} +\newlength{\wpYoffset} +\setlength{\wpYoffset}{0pt} +\newlength{\tileXoffset} +\newlength{\tileYoffset} +\newlength{\tilewidth} +\newlength{\tileheight} +\newlength{\tileX} +\newlength{\tileY} + +\newcommand{\LLCornerWallPaper}[2]{% +\AddToShipoutPicture{% + \AtPageLowerLeft{% + \includegraphics[width=#1\paperwidth,height=#1\paperheight,% + keepaspectratio]{#2}% + } + } +} + +\newcommand{\ThisLLCornerWallPaper}[2]{% +\AddToShipoutPicture*{% + \AtPageLowerLeft{% + \includegraphics[width=#1\paperwidth,height=#1\paperheight,% + keepaspectratio]{#2}% + } + } +} + +\newcommand{\ULCornerWallPaper}[2]{% + \AddToShipoutPicture{% + \AtPageLowerLeft{% + \parbox[b][\paperheight]{#1\paperwidth}{% + \includegraphics[width=#1\paperwidth,height=#1\paperheight,% + keepaspectratio]{#2}% + \vfill% + } + } + } +} + +\newcommand{\ThisULCornerWallPaper}[2]{% + \AddToShipoutPicture*{% + \AtPageLowerLeft{% + \parbox[b][\paperheight]{#1\paperwidth}{% + \includegraphics[width=#1\paperwidth,height=#1\paperheight,% + keepaspectratio]{#2}% + \vfill% + } + } + } +} + +\newcommand{\LRCornerWallPaper}[2]{% + \AddToShipoutPicture{% + 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\addtolength{\tileX}{\tilewidth} + \addtolength{\tileXoffset}{\tilewidth} + }% + \addtolength{\tileY}{\tileheight} + \addtolength{\tileYoffset}{\tileheight} + }% + \endgroup +}% +} + +\newcommand{\ThisTileSquareWallPaper}[2]{% +\AddToShipoutPicture*{% + \begingroup + \setlength{\tileYoffset}{\wpYoffset} + \setlength{\tilewidth}{\paperwidth/#1}% + \setlength{\tileheight}{\tilewidth}% + \setlength{\tileY}{0pt}% + \whiledo{\lengthtest{\tileY < \paperheight}}{% + \setlength{\tileX}{0pt}% + \setlength{\tileXoffset}{\wpXoffset}% + \whiledo{\lengthtest{\tileX < \paperwidth}}{% + \put(\LenToUnit{\tileXoffset},\LenToUnit{\tileYoffset}){% + \includegraphics[height=\tileheight,width=\tilewidth]{#2}}% + \addtolength{\tileX}{\tilewidth} + \addtolength{\tileXoffset}{\tilewidth} + }% + \addtolength{\tileY}{\tileheight} + \addtolength{\tileYoffset}{\tileheight} + }% + \endgroup +}% +} + + +\newcommand{\TileWallPaper}[3]{% +\AddToShipoutPicture{% + \begingroup + \setlength{\tileYoffset}{\wpYoffset} + \setlength{\tilewidth}{#1}% + \setlength{\tileheight}{#2}% + \setlength{\tileY}{0pt}% + \whiledo{\lengthtest{\tileY < \paperheight}}{% + \setlength{\tileX}{0pt}% + \setlength{\tileXoffset}{\wpXoffset}% + \whiledo{\lengthtest{\tileX < \paperwidth}}{% + \put(\LenToUnit{\tileXoffset},\LenToUnit{\tileYoffset}){% + \includegraphics[height=\tileheight,width=\tilewidth]{#3}}% + \addtolength{\tileX}{\tilewidth} + \addtolength{\tileXoffset}{\tilewidth} + }% + \addtolength{\tileY}{\tileheight} + \addtolength{\tileYoffset}{\tileheight} + }% + \endgroup +}% +} + +\newcommand{\ThisTileWallPaper}[3]{% +\AddToShipoutPicture*{% + \begingroup + \setlength{\tileYoffset}{\wpYoffset} + \setlength{\tilewidth}{#1}% + \setlength{\tileheight}{#2}% + \setlength{\tileY}{0pt}% + \whiledo{\lengthtest{\tileY < \paperheight}}{% + \setlength{\tileX}{0pt}% + \setlength{\tileXoffset}{\wpXoffset}% + \whiledo{\lengthtest{\tileX < \paperwidth}}{% + \put(\LenToUnit{\tileXoffset},\LenToUnit{\tileYoffset}){% + \includegraphics[height=\tileheight,width=\tilewidth]{#3}}% + \addtolength{\tileX}{\tilewidth} + \addtolength{\tileXoffset}{\tilewidth} + }% + \addtolength{\tileY}{\tileheight} + \addtolength{\tileYoffset}{\tileheight} + }% + \endgroup +}% +} + +\newcommand{\ClearWallPaper}{\ClearShipoutPicture} \ No newline at end of file diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/cookie.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/cookie.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,1 @@ + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/documentation.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/documentation.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,34 @@ + + + + + + The Nominal Datatype Package + + + + +

Documentation

+ +Some rudimentary notes are available in +postscript and +in pdf. We are +working on better documentation - hassle us to speed up this +process.

+ +A somewhat highlevel description of the formalisation in the example file SOS.thy. +[pdf]
+ +

Nominal Bibliography

+ +CiteULike +collection about nominal techniques compiled by Dominic Mulligan (supersedes +the collection below). +

+ + +Here +is a bibliography of publications related to the nominal logic work. + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/download-old.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/download-old.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,44 @@ + + + + + The Nominal Datatype Package + + + + +

Download

+ +Download the Nominal Isabelle snapshot provided below and +follow the instructions in INSTALL. +

+ +Isabelle Snapshot from 7. January 2008 (includes version 0.14 of the nominal datatype package) +

+ + + +INSTALL +

+ +The Nominal Datatype +Beginning from version 0.13, the nominal package can be started by using +just the command "Isabelle" and enabling the option "HOL-Nominal" in the +ProofGeneral menu "Isabelle -> Logics". If you want that HOL-Nominal is +your default logic, then you can add + +

+

+ISABELLE_LOGIC="HOL-Nominal" +
+

+ +to the file $HOME/isabelle/etc/settings. +

+ + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/download.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/download.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,55 @@ + + + + + The Nominal Datatype Package + + + + + +

Nominal2 and Isabelle 2016

+ +At the moment, Nominal2 is still alpha-ware and not part of the standard +Isabelle distribution. But assuming you have a working Isabelle 2016 distribution, +it can be easily installed. The necessary theory files for Nominal2 can be downloaded +from: + + + +Unpack the tgz-file. This will create a directory Nominal and also +Nominal/Ex. If you change into the latter directory and load, for example, +Lambda.thy, then you are already up and running. You can proceed +with this theory as if it was a "normal" theory based on Main. + + +

+You can also be on the bleeding edge by downloading the +sources from this Mercurial +Repository. + + +

Nominal1 and Isabelle 2016

+ +Nominal1 is part of the current distribution and can be installed +as explained here. + + +

(Obsolete) Nominal2 and older Isabelle

+ +Nominal2-2011-1.tgz (17 Feb. 2012)
+Nominal2-2012.tgz (15 May 2012)
+Nominal2-2013.tgz (19 February 2013)
+Nominal2-2013-1.tgz (18 October 2013)
+Nominal2-2013-2.tgz (15 December 2013)
+Nominal2-2014.tgz (9 September 2014)
+Nominal2-2015.tgz (9 July 2015)
+ + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/example.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/example.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,384 @@ + + + + + Nominal Methods Group + + + + + +
+

+ + + +

+
+ + +

Barendregt's Substitution Lemma

+ +

+Let us explain one of our results with a simple proof about the lambda calculus. +An informal "pencil-and-paper" proof there looks typically as follows (this one is taken from Barendregt's classic book +on the lambda calculus): +

+ + +
+ + + + + + + + + + +
+ 2.1.16. Substitution Lemma: If x≠y and x not free in L, + then +
+
M[x:=N][y:=L] = M[y:=L][x:=N[y:=L]].
+
+Proof: By induction on the structure of M. +
+
Case 1. M is a variable.
+
+
Case 1.1. M=x. Then both sides equal N[y:=L] since x≠y. +
Case 1.2. M=y. Then both sides equal L, for x not free in L + implies L[x:=...]=L. +
Case 1.3. M=z≠x,y. Then both sides equal z. +
+
Case 2. M=λz.M1.
By the variable convention we may assume that +z≠x,y and z is not free in N, L. Then by the induction hypothesis
+
+ + + + + + + + + + + + + +
(λz.M1)[x:=N][y:=L]=λz.M1[x:=N][y:=L]
 =λz.M1[y:=L][x:=N[y:=L]]
 =(λz.M1)[y:=L][x:=N[y:=L]].
+
+
Case 3. M=M1 M2.
Then the statement follows +again from the induction hypothesis. +
+
+
+ +

+ We want to make it as easy as possible to formalise such informal proofs (and +more complicated ones). Inspired by the PoplMark Challenge, we want that masses use theorem +assistants to do their formal proofs. +

+ +

+Since the kind of informal reasoning illustrated by Barendregt's proof is very +common in the literature on programming languages, it might be surprising that +implementing his proof +in a theorem assistant is not a trivial task. This is because he relies +implicitly on some assumptions and conventions. For example he states in his +book: +

+ +
+ + + + +
+2.1.12. Convention. Terms that are α-congruent are identified. So now we +write λx.x=λy.y, etcetera. +
+
+ +
+ + + + +
+2.1.13. Variable Convention. If M1,...,Mn occur +in a certain mathematical context (e.g. definition, proof), then in these terms all +bound variables are chosen to be different from the free variables. +
+
+ +

+The first convention is crucial for the proof above as it allows one to deal +with the variable case by using equational reasoning - one can just calculate +what the results of the substitutions are. If one uses un-equated, or raw, lambda-terms, +the same kind of reasoning cannot be performed (the reasoning then has to be +modulo α-equivalence, which causes a lot of headaches in +the lambda-case.) But if the data-structure over which the proof is +formulated is α-equivalence classes of lambda-terms, then what is the +principle "by induction over the structure of M"? There is an +induction principle "over the structure" for (un-equated) lambda-terms. But +quotening lambda-terms by α-equivalence does not automatically lead to +such a principle for α-equivalence classes. This seems to be a point +that is nearly always ignored in the literature. In fact it takes, as we have +shown in [1] and [2], some serious work to provide such an induction principle +for α-equivalence classes. +

+ +

+The second problem for an implementation of Barendregt's proof is his use of +the variable convention: there is just no proof-principle "by convention" in a +theorem assistant. Taking a closer look at Barendregt's reasoning, it turns +out that for a proof obligation of the form "for all α-equated +lambda-terms λz.M1...", he does not establish this +proof obligation for all λz.M1, but only for some +carefully chosen α-equated lambda-terms, namely the ones for which +z is not free in x,y,N and L. This style of reasoning +clearly needs some justification and in fact depends on some assumptions of +the "context" of the induction. By "context" of the induction we mean the +variables x,y,N and L. When employing the variable convention in +a formal proof, one always implicitly assumes that one can choose a fresh name +for this context. This might, however, not always be possible, for example +when the context already mentions all names. Also we found out recently that the +use of the variable convention in proofs by rule-induction can lead to +faulty reasoning [5]. So our work introduces safeguards that ensure that the +use of the variable convention is always safe. +

+ +

+One might conclude from our comments about Barendregt's proof that it is no +proof at all. This is, however, not the case! With Nominal Isabelle +and its infrastructure one can easily formalise his reasoning. One first +has to declare the structure of α-equated +lambda-terms as a nominal datatype: +

+ + +
atom_decl name + nominal_datatype term = Var "name" + | App "term" "term" + | Lam "«name»term" +
+ +

+Note though, that nominal datatypes are not datatypes in the traditional +sense, but stand for α-equivalence classes. Indeed we have for terms of +type term the equation(!) +

+ +
lemma alpha: "Lam [a].(Var a) = Lam [b].(Var b)" +
+ + +

+which does not hold for traditional datatypes (note that we write +lambda-abstractions as Lam [a].t). The proof of the substitution +lemma can then be formalised as follows: +

+ +
lemma substitution_lemma: + assumes asm: "x≠y" "x#L" + shows "M[x:=N][y:=L] = M[y:=L][x:=N[y:=L]]" + using asm + by (nominal_induct M avoiding: x y N L rule: term.induct) + (auto simp add: forget fresh_fact) +
+ + +

+where the assumption "x is fresh for L", written x#L, +encodes the usual relation of "x not free in L". The method +nominal_induct takes as arguments the variable over which the +induction is +performed (here M), and the context of the induction, which consists of +the variables mentioned in the variable convention (that is the part in +Barendregt's proof where he writes "...we may assume that z≠x,y and +z is not free in N,L"). The last argument of nominal_induct +specifies which induction rule should be applied - in this case induction over +α-equated lambda-terms, an induction-principle Nominal Isabelle provides +automatically when the nominal datatype term is defined. The +implemented proof of the substitution lemma proceeds then completely +automatically, except for the need of having to mention the facts forget and +fresh_fact, which are proved separately (also by induction over +α-equated lambda-terms).

+ + +

+The lemma forget shows that if x is not +free in L, then L[x:=...]=L (Barendregt's Case 1.2). Its formalised proof +is as follows: +

+ +
lemma forget: + assumes asm: "x#L" + shows "L[x:=P] = L" + using asm + by (nominal_induct L avoiding: x P rule: term.induct) + (auto simp add: abs_fresh fresh_atm) +
+ + +

+In this proof abs_fresh is an automatically generated lemma that +establishes when x is fresh for a lambda-abstraction, namely x#Lam +[z].P' if and only if x=z or (x≠z and x#P'); +fresh_atm states that x#y if and only if x≠y. The lemma +fresh_fact proves the property that if z does not occur +freely in N and L then it also does not occur freely in +N[y:=L]. This fact can be formalised as follows:

+ +
lemma fresh_fact: + assumes asm: "z#N" "z#L" + shows "z#N[y:=L]" + using asm + by (nominal_induct N avoiding: z y L rule: term.induct) + (auto simp add: abs_fresh fresh_atm) +
+ +

+Although the latter lemma does not appear explicitly in Barendregt's reasoning, it is required +in the last step of the lambda-case (Case 2) where he pulls the substitution from under +the binder z (the interesting step is marked with a •):

+
+ + + + +
 λz.(M1[y:=L][x:=N[y:=L]]) 
=(λz.M1[y:=L])[x:=N[y:=L]]  •
=(λz.M1)[y:=L][x:=N[y:=L]] 
+
+ +

+After these 22 lines one has a completely formalised proof of the substitution +lemma. This proof does not rely on any axioms, apart from the ones on which +HOL is built. +


+ +References

+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
[1] + Nominal Reasoning Techniques in Isabelle/HOL. In + Journal of Automatic Reasoning, 2008, Vol. 40(4), 327-356. + [ps]. +
[2] + A Formal Treatment of the Barendregt Variable Convention in Rule Inductions + (Christian Urban and Michael Norrish) + Proceedings of the ACM Workshop on Mechanized Reasoning about Languages with Variable + Binding and Names (MERLIN 2005). Tallinn, Estonia. September 2005. Pages 25-32. © ACM, Inc. + [ps] + [pdf] +
[3] + A Recursion Combinator for Nominal Datatypes Implemented in Isabelle/HOL + (Christian Urban and Stefan Berghofer) + Proceedings of the 3rd + International Joint Conference on Automated Deduction (IJCAR 2006). In volume 4130 of + Lecture Notes in Artificial Intelligence. Seattle, USA. August 2006. Pages 498-512. + © Springer Verlag + [ps] +
[4] + A Head-to-Head Comparison of de Bruijn Indices and Names. + (Stefan Berghofer and Christian Urban) + Proceedings of the International Workshop on Logical Frameworks and + Meta-Languages: Theory and Practice (LFMTP 2006). Seattle, USA. ENTCS. Pages 53-67. + [ps] +
[5] + Barendregt's Variable Convention in Rule Inductions. (Christian + Urban, Stefan Berghofer and Michael Norrish) Proceedings of the 21th + Conference on Automated Deduction (CADE 2007). In volume 4603 of Lecture + Notes in Artificial Intelligence. Bremen, Germany. July 2007. Pages 35-50. + © Springer Verlag + [ps] +
[6] + Mechanising the Metatheory of LF. + (Christian Urban, James Cheney and Stefan Berghofer) + In Proc. of the 23rd IEEE Symposium on Logic in Computer Science (LICS 2008), IEEE Computer Society, + June 2008. Pages 45-56. + [pdf] More + information elsewhere. +
[7] + Proof Pearl: A New Foundation for Nominal Isabelle. + (Brian Huffman and Christian Urban) + In Proc. of the 1st Conference on Interactive Theorem Proving (ITP 2010). In volume 6172 in + Lecture Notes in Computer Science, Pages 35-50, 2010. + [pdf] +
[8] + General Bindings and Alpha-Equivalence in Nominal Isabelle. + (Christian Urban and Cezary Kaliszyk) + In Proc. of the 20th European Symposium on Programming (ESOP 2011). + In Volume 6602 of Lecture Notes in Computer Science, Pages 480-500, 2011. + [pdf] +
+
+ +

+ +Last modified: Mon May 9 05:35:17 BST 2011 + +[Validate this page.] + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/ijcar-08.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/ijcar-08.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,18 @@ + + + + + Nominal Methods Group + + + + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/index.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/index.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,24 @@ + + + + + Nominal Methods Group + + + + + + + + + + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/main.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/main.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,283 @@ + + + + + Nominal Methods Group + + + + + +

+

+ + + +

+
+ + +

Our Vision

+ +

+ +We are working on a major overhaul of Nominal Isabelle. The +latest bundles of Nominal2 are +here. +

+ + +

+To root out bugs, every programming language should be designed with the help +of a theorem prover, and every compiler should be verified. With our work we +aim to provide all proving technologies necessary for reasoning +conveniently about programming languages (for example the lambda +calculus) and compilers. For us, formal proofs should be as easy to perform as informal +"pencil-and-paper" proofs - at least the overhead of formal proofs should not +prevent any formalisation. Many ideas for our work come from the nominal +logic work by Andrew +Pitts. Our theoretical results about nominal theories enabled us to +implement Nominal Isabelle on top of Isabelle/HOL. +

+ +

+If you want to see a simple example illustrating our results on Nominal Isabelle click +here. For more interesting results, we already +completed formalisations of Church-Rosser and strong-normalisation proofs as +well as the first part of the PoplMark +Challenge. We also formalised some typical proofs from SOS, Karl Crary's chapter on +logical relations from Advanced Topics in Types and Programming Languages, and also +a paper on LF by Harper and +Pfenning. In the latter paper we found a gap in +the soundness proof and corrected it (we actually gave three solutions to the problem [6]). Urban +formalised and also corrected the main result of his PhD, a logical relation argument for +establishing strong normalisation of cut-elimination in classical logic. Other +people have used Nominal Isabelle too: + +

    +
  • +Jesper Bengtson +and Joachim Parrow +used Nominal Isabelle to verify the theory of the +pi-calculus. They formalised the proof that bisimulation is a congruence (both +for late and early operational semantics) available +here. Moreover they formalised the proof +that all late bisimilar processes are early bisimilar. The corresponding +papers were presented at FOSSACS'07 and SOS'07. They also used Nominal Isabelle +to formalise their work on Psi-calculi, available +here. This was +presented at LICS 2009 and LICS 2010. +Jesper finished his PhD about this in 2010 with a large formalisation in Nominal Isabelle. +He also formalised CCS (here). +All formalisations are part of the AFP. +
  • +Sam Tobin-Hochstadt, a student +of Matthias Felleisen, used +Nominal Isabelle to formalise their work on Typed Scheme. This was presented at POPL'08. + +
  • +Lucas Dixon, +Alan Smaill and Alan Bundy used Nominal Isabelle to formalise +proof terms of ILL and studied proof planning with this formalisation +(EDI-INF-RR-0786). + +
  • +Temesghen Kahsai +and Marino Miculan formalised +the spi-calculus using our work - see +here. + +
  • +Ayesha Yasmeen, a student of +Elsa Gunter, +formalised an extension of the ambient calculus using Nominal Isabelle. This +was presented in the Emerging Trends section of TPHOLs'08. + +
  • +Christian Doczkal, +a student of Gert Smolka, +finished in 2009 his +master thesis +at Saarbrücken University using +Nominal Isabelle. He formalised the TT-lifting technique in order to prove +strong normalisation of Moggi's computational metalanguage. This is part of +the AFP repository. + +
  • +Armin Heller finished his master thesis at the TU Munich in 2010 with a simple compiler verification +using Nominal Isabelle. + +
  • +James Cheney +formalised a number of properties of the meta-theory of mini-XQuery in Nominal Isabelle. +The plan is to extend this work to full XQuery. The preliminary results appeared at CPP'11. + +
  • +Cezary Kaliszyk +with input from Henk Barendregt formalised the second fixed point theorem +of the lambda calculus using Nominal Isabelle 2. This work appeared at CPP'11. + +
  • +Joachim Breitner +used Nominal2 for formalising Launchbury's natural semantics for lazy evaluation. This is part +of the AFP. + +
  • +Larry Paulson +formalised Gödel's Incompletness Theorems using Nominal2. This work +appeared in the Journal of Automated Reasoning in 2015. + +
  • +Joachim Breitner +proved the correctness of a GHC compiler transformation using Nominal2. +This work appeared at the +Haskell Symposium 2015. +
+

+ +

+Note, however, that Nominal Isabelle is still an ongoing research +project, which needs both theoretical and implementation work. You are +encouraged to subscribe to the (moderated) + +mailing list to hear about our progress and to give +us feedback.

+ +

+We have recently re-implemented the underlying nominal theory [7] and also have +a good proposal for how to deal with general binding structures in Nominal Isabelle [8]. +


+ +References

+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
[1] + Nominal Reasoning Techniques in Isabelle/HOL. In + Journal of Automatic Reasoning, Vol. 40(4), 327-356, 2008. + [ps]. + The predecessor paper, which appeaerd at CADE in 2005, received the + Thoralf Skolem Award. +
[2] + A Formal Treatment of the Barendregt Variable Convention in Rule Inductions + (Christian Urban and Michael Norrish) + Proceedings of the ACM Workshop on Mechanized Reasoning about Languages with Variable + Binding and Names (MERLIN 2005), Pages 25-32, 2005. © ACM, Inc. + [ps] + [pdf] +
[3] + A Recursion Combinator for Nominal Datatypes Implemented in Isabelle/HOL + (Christian Urban and Stefan Berghofer) + Proceedings of the 3rd + International Joint Conference on Automated Deduction (IJCAR 2006). In volume 4130 of + Lecture Notes in Artificial Intelligence, Pages 498-512, 2006. + © Springer Verlag + [ps] +
[4] + A Head-to-Head Comparison of de Bruijn Indices and Names. + (Stefan Berghofer and Christian Urban) + Proceedings of the International Workshop on Logical Frameworks and + Meta-Languages: Theory and Practice (LFMTP 2006), ENTCS, Pages 53-67, 2006. + [ps] +
[5] + Barendregt's Variable Convention in Rule Inductions. (Christian + Urban, Stefan Berghofer and Michael Norrish) Proceedings of the 21th + Conference on Automated Deduction (CADE 2007). In volume 4603 of Lecture + Notes in Artificial Intelligence, Pages 35-50, 2007. + © Springer Verlag + [ps] +
[6] + Mechanising the Metatheory of LF. + (Christian Urban, James Cheney and Stefan Berghofer) + In Proc. of the 23rd IEEE Symposium on Logic in Computer Science (LICS 2008), IEEE Computer Society, + Pages 45-56, 2008. + [pdf] More + information elsewhere. +
[7] + Proof Pearl: A New Foundation for Nominal Isabelle. + (Brian Huffman and Christian Urban) + In Proc. of the 1st Conference on Interactive Theorem Proving (ITP 2010). In volume 6172 in + Lecture Notes in Computer Science, Pages 35-50, 2010. + [pdf] +
[8] + General Bindings and Alpha-Equivalence in Nominal Isabelle. + (Christian Urban and Cezary Kaliszyk) + In Proc. of the 20th European Symposium on Programming (ESOP 2011). + In Volume 6602 of Lecture Notes in Computer Science, Pages 480-500, 2011. + [pdf] (and a + longer version appeared in the Journal of Logical Methods in Computer + Science, Volume 8 (2:14), 2012 + [pdf]) +
+
+ +

+[Validate this page.] + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/main.html~ --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/main.html~ Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,283 @@ + + + + + Nominal Methods Group + + + + + +

+

+ + + +

+
+ + +

Our Vision

+ +

+ +We are working on a major overhaul of Nominal Isabelle. The +latest bundles of Nominal2 are +here. +

+ + +

+To root out bugs, every programming language should be designed with the help +of a theorem prover, and every compiler should be verified. With our work we +aim to provide all proving technologies necessary for reasoning +conveniently about programming languages (for example the lambda +calculus) and compilers. For us, formal proofs should be as easy to perform as informal +"pencil-and-paper" proofs - at least the overhead of formal proofs should not +prevent any formalisation. Many ideas for our work come from the nominal +logic work by Andrew +Pitts. Our theoretical results about nominal theories enabled us to +implement Nominal Isabelle on top of Isabelle/HOL. +

+ +

+If you want to see a simple example illustrating our results on Nominal Isabelle click +here. For more interesting results, we already +completed formalisations of Church-Rosser and strong-normalisation proofs as +well as the first part of the PoplMark +Challenge. We also formalised some typical proofs from SOS, Karl Crary's chapter on +logical relations from Advanced Topics in Types and Programming Languages, and also +a paper on LF by Harper and +Pfenning. In the latter paper we found a gap in +the soundness proof and corrected it (we actually gave three solutions to the problem [6]). Urban +formalised and also corrected the main result of his PhD, a logical relation argument for +establishing strong normalisation of cut-elimination in classical logic. Other +people have used Nominal Isabelle too: + +

    +
  • +Jesper Bengtson +and Joachim Parrow +used Nominal Isabelle to verify the theory of the +pi-calculus. They formalised the proof that bisimulation is a congruence (both +for late and early operational semantics) available +here. Moreover they formalised the proof +that all late bisimilar processes are early bisimilar. The corresponding +papers were presented at FOSSACS'07 and SOS'07. They also used Nominal Isabelle +to formalise their work on Psi-calculi, available +here. This was +presented at LICS 2009 and LICS 2010. +Jesper finished his PhD about this in 2010 with a large formalisation in Nominal Isabelle. +He also formalised CCS (here). +All formalisations are part of the AFP. +
  • +Sam Tobin-Hochstadt, a student +of Matthias Felleisen, used +Nominal Isabelle to formalise their work on Typed Scheme. This was presented at POPL'08. + +
  • +Lucas Dixon, +Alan Smaill and Alan Bundy used Nominal Isabelle to formalise +proof terms of ILL and studied proof planning with this formalisation +(EDI-INF-RR-0786). + +
  • +Temesghen Kahsai +and Marino Miculan formalised +the spi-calculus using our work - see +here. + +
  • +Ayesha Yasmeen, a student of +Elsa Gunter, +formalised an extension of the ambient calculus using Nominal Isabelle. This +was presented in the Emerging Trends section of TPHOLs'08. + +
  • +Christian Doczkal, +a student of Gert Smolka, +finished in 2009 his +master thesis +at Saarbrücken University using +Nominal Isabelle. He formalised the TT-lifting technique in order to prove +strong normalisation of Moggi's computational metalanguage. This is part of +the AFP repository. + +
  • +Armin Heller finished his master thesis at the TU Munich in 2010 with a simple compiler verification +using Nominal Isabelle. + +
  • +James Cheney +formalised a number of properties of the meta-theory of mini-XQuery in Nominal Isabelle. +The plan is to extend this work to full XQuery. The preliminary results appeared at CPP'11. + +
  • +Cezary Kaliszyk +with input from Henk Barendregt formalised the second fixed point theorem +of the lambda calculus using Nominal Isabelle 2. This work appeared at CPP'11. + +
  • +Joachim Breitner +used Nominal2 for formalising Launchbury's natural semantics for lazy evaluation. This is part +of the AFP. + +
  • +Larry Paulson +formalised Gödel's Incompletness Theorems using Nominal2. This work +appeared in the Journal of Automated Reasoning in 2015. + +
  • +Joachim Breitner +proved the correctness of a GHC compiler transformation using Nominal2. +This work appeared at the +Haskell Symposium 2015. +
+

+ +

+Note, however, that Nominal Isabelle is still an ongoing research +project, which needs both theoretical and implementation work. You are +encouraged to subscribe to the (moderated) + +mailing list to hear about our progress and to give +us feedback.

+ +

+We have recently re-implemented the underlying nominal theory [7] and also have +a good proposal for how to deal with general binding structures in Nominal Isabelle [8]. +


+ +References

+
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
[1] + Nominal Reasoning Techniques in Isabelle/HOL. In + Journal of Automatic Reasoning, Vol. 40(4), 327-356, 2008. + [ps]. + The predecessor paper, which appeaerd at CADE in 2005, received the + Thoralf Skolem Award. +
[2] + A Formal Treatment of the Barendregt Variable Convention in Rule Inductions + (Christian Urban and Michael Norrish) + Proceedings of the ACM Workshop on Mechanized Reasoning about Languages with Variable + Binding and Names (MERLIN 2005), Pages 25-32, 2005. © ACM, Inc. + [ps] + [pdf] +
[3] + A Recursion Combinator for Nominal Datatypes Implemented in Isabelle/HOL + (Christian Urban and Stefan Berghofer) + Proceedings of the 3rd + International Joint Conference on Automated Deduction (IJCAR 2006). In volume 4130 of + Lecture Notes in Artificial Intelligence, Pages 498-512, 2006. + © Springer Verlag + [ps] +
[4] + A Head-to-Head Comparison of de Bruijn Indices and Names. + (Stefan Berghofer and Christian Urban) + Proceedings of the International Workshop on Logical Frameworks and + Meta-Languages: Theory and Practice (LFMTP 2006), ENTCS, Pages 53-67, 2006. + [ps] +
[5] + Barendregt's Variable Convention in Rule Inductions. (Christian + Urban, Stefan Berghofer and Michael Norrish) Proceedings of the 21th + Conference on Automated Deduction (CADE 2007). In volume 4603 of Lecture + Notes in Artificial Intelligence, Pages 35-50, 2007. + © Springer Verlag + [ps] +
[6] + Mechanising the Metatheory of LF. + (Christian Urban, James Cheney and Stefan Berghofer) + In Proc. of the 23rd IEEE Symposium on Logic in Computer Science (LICS 2008), IEEE Computer Society, + Pages 45-56, 2008. + [pdf] More + information elsewhere. +
[7] + Proof Pearl: A New Foundation for Nominal Isabelle. + (Brian Huffman and Christian Urban) + In Proc. of the 1st Conference on Interactive Theorem Proving (ITP 2010). In volume 6172 in + Lecture Notes in Computer Science, Pages 35-50, 2010. + [pdf] +
[8] + General Bindings and Alpha-Equivalence in Nominal Isabelle. + (Christian Urban and Cezary Kaliszyk) + In Proc. of the 20th European Symposium on Programming (ESOP 2011). + In Volume 6602 of Lecture Notes in Computer Science, Pages 480-500, 2011. + [pdf] (and a + longer version appeared in the Journal of Logical Methods in Computer + Science, Volume 8 (2:14), 2012 + [pdf]) +
+
+ +

+[Validate this page.] + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/menu.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/menu.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,138 @@ + + + + + Menu + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+Navigation
+Overview
+Documentation
+Download
+Mailing List
+Activities
+Members and Local Friends
+Christian Urban (chair)
+Cezary Kaliszyk
Chunhan Wu
+International Friends
+Andrew Pitts
+Stefan Berghofer
+Markus Wenzel
+Benjamin Pierce
+Steve Zdancewic
+Michael Norrish
+James Cheney
+Jesper Bengtson
+Julien Narboux
+Randy Pollack
+Tjark Weber
+ + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/menu.html~ --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/menu.html~ Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,138 @@ + + + + + Menu + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+Navigation
+Overview
+Documentation
+Download
+Mailing List
+Activities
+Members and Local Friends
+Christian Urban (chair)
+Cezary Kaliszyk
Chunhan Wu
+International Friends
+Andrew Pitts
+Stefan Berghofer
+Markus Wenzel
+Benjamin Pierce
+Steve Zdancewic
+Michael Norrish
+James Cheney
+Jesper Bengtson
+Julien Narboux
+Randy Pollack
+Tjark Weber
+ + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/oregon.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/oregon.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,21 @@ + + + + + The Nominal Datatype Package + + + + + + + + + + + + + + diff -r 05e5d68c9627 -r f1be8028a4a9 Nominal/title.html-- --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/title.html-- Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,19 @@ + + + + + The Nominal Datatype Package + + + + +The Nominal Datatype Package +

Nominal Methods Group

+

+funded by the German Research Foundation (DFG) within the +Emmy-Noether +Programme +

+ + + diff -r 05e5d68c9627 -r f1be8028a4a9 PhD/index.html~ --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/PhD/index.html~ Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,85 @@ + + +Homepage of Christian Urban + + + + + + + + + + + + + + + + + + +
+ +Links
+Home
+Publications
+Recent Talks +
+
+ +Handy Information
+People in Logic
+Programming Languages
+Miscellaneous +

+ + + + +		 +Postscript file of the thesis: +ps.gz +
+

The Dinner after the Viva

+organised by Gavin in The Three Horseshoes in Maddingley. Very nice.

+ +
+My examiners, +Andy Pitts and +Henk Barendregt, are next to me. +Nick Benton, Mrs. Barendregt-Kessing (Henk's mother), +Gavin Bierman, +Mateja Jamnik, +Martin Hyland and +Glynn Winskel +are standing behind.

+ +
+There are Susan Pitts and Alice Benton on the left.

+ +

The Ceremony

+

+ +

+

+ +Last modified: Thu Feb 28 20:23:06 CET 2008 + +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 Publications/.DS_Store Binary file Publications/.DS_Store has changed diff -r 05e5d68c9627 -r f1be8028a4a9 Publications/mphil.pdf Binary file Publications/mphil.pdf has changed diff -r 05e5d68c9627 -r f1be8028a4a9 index.html~ --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/index.html~ Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,359 @@ + + + +Homepage of Christian Urban + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
+ +Links
+Home
+Publications
+Teaching
+Recent Talks
+My Research Group +
+
+ +Handy Information
+People in Logic
+Programming Languages
+Miscellaneous +

+ + + + + + + + +
+ + +
+ + +
+		 + + + + + + +
+

Christian Urban

+ +E-mail +christian.urban at kcl ac uk
+
+ +Address +Department of Informatics, +King's College London, +Strand, London WC2R 2LS, UK. My office is S1.27 on the 1st floor of the Strand Building. +
+ +		 + +
+

+Isabelle Programming Tutorial (draft of a 200-page tutorial on Isabelle programming)

+

+Current Position +I am a lecturer in the Department of Informatics at King's College London. +This is similar to a position of an assistant professor in other places. In 2011, +I was also offered a lectureship +here, an associate professorship +here, +and full professorships +here and +here. +I thank all people involved for their efforts. +

+ +Past Positions +In April 2006, I was awarded an Emmy-Noether +fellowship, which I held at the TU Munich until +September 2011. +Between September 2008 and February 2009, I was an invited research scientist in +the Department of Computer Science in Princeton. +In 2004/05 I was an Alexander-von-Humboldt fellow in Munich and +from 2000 until 2004 I was awarded a Research Fellowship in Cambridge. Before that +I did my PhD in Cambridge funded by two scholarships from the German Academic Exchange +Service (DAAD). +

+ +Skolem Award 2015 Together with +Christine Tasson, I was awarded a +Thoralf Skolem Award, a ten-year + test-of-time award from CADE, for our + paper + on Nominal Techniques in Isabelle/HOL from 2005. +

+ +Research Interests theorem provers, verification, programming languages, compilers, +algorithms, proof theory, type systems, concurrency, lambda calculus, unification, +regular expressions, computability, complexity, functional and logic programming. +

+ +Teaching I usually enjoy teaching. At King's my students nominated me for the Teaching +Excellence Award in +2012 and 2015, and for the best MSc Project supervisor in 2015. +In 2014 I received both prizes for Best UG Project Supervisor and for Best +MSc Project Supervisor in the NMS Faculty.

+ + +Conferences +UNIF'06 (member of PC), +LFMTP'07 (member of PC), +LFMTP'08 (PC co-chair), +WMM'08 (member of PC), +LSFA'08 (invited speaker), +TAASN'09 (member of PC), +LSFA'09 (member of PC), +IDW'09 (organiser), +WMM'09 (PC chair), +TPHOLs'09 (PC co-chair), +Automatheo'10 (member of PC), +ITP'10 (member of PC), +UNIF'10 (invited speaker), +WMM'10 (invited speaker), +IDW'10 (co-organiser), +CPP'11 (member of PC), +RTA'11 (member of PC), +LFMTP'11 (member of PC), +ITP'14 (member of PC), +MKM'15 (member of PC), +ITP'15 (PC co-chair) +

+ +ITP'15 took place in Nanjing organised +by Xingyuan Zhang and me
+

+ +Current PhD Fahad Ausaf
+Former RAs Chunhan Wu, Cezary Kaliszyk, +Julien Narboux +

+Nominal Isabelle +I currently work on Nominal +Isabelle 2. This is joint work with +Dr Stefan Berghofer, +Dr Markus Wenzel, +Dr Cezary Kaliszyk, +Dr Tjark Weber and +the Isabelle-team in Munich. +Many of the theoretical ideas originate from the nominal logic project - a wonderful project headed +by Prof. Andrew Pitts. +The aim of my work is to make formal reasoning involving binders as simple as +on paper and the hope is to lure +masses to automated +theorem proving. My funding for this work was provided in 2004 and 2005 by a research +fellowship from the +Alexander-von-Humboldt +foundation. During this time I was a visitor in the group of +Prof. Helmut Schwichtenberg. +Since 2006 this work is supported by an +Emmy-Noether +fellowship. +There is a webpage and a +mailing list +about Nominal Isabelle. It also includes a list of projects that use Nominal Isabelle. +Users of Nominal Isabelle had their papers appearing at LICS, POPL, FOSSACS, SOS, TPHOLs, CPP, SEFM, +the Haskell Symposium and +in the Journal of Automated Reasoning. +
+Myhill-Nerode and Regular Expressions +Out of frustration of having to teach reasoning in theorem provers with worn-out examples like +fib and even/odd, we implemented a large part of regular language theory in Isabelle/HOL. +This implementation +gives rise to much more interesting examples, as shown +here and +here. It turns out that +formalisations of automata theory are a huge +pain +in theorem provers, especially in those that are based on HOL. +We therefore went against the +mainstream +and used in our formalisation regular expressions exclusively, +because they are much more convenient for formal reasoning. The results we +formalised include: the Myhill-Nerode theorem, the closure of regular languages +under complementation, finiteness of derivatives of regular expressions and a surprising +result about Subseq, which according to +this +blog +should be better known. We also answered a +question from the same blog about +"proving Reg-exp-langs [being] closed under complementation without using equiv to DFA's"....yes we can! +This is joint work with Prof. Xingyuan +Zhang and his student Chunhan Wu from the +PLA University of Science and Technology in Nanjing. +My funding for this work came from the +Chinese-German Research Centre. +
+Nominal Unification and Alpha-Prolog +Nominal unification is one outcome of +my involvement in the nominal logic project in Cambridge. Another is the logic programming language +alpha-Prolog (joint work with Dr James Cheney), +which uses nominal unification - click for details +here. +The nominal unification algorithm has been +formally verified in Isabelle. This +was possible since this unification algorithm is formulated in a simple first-order language +(unlike other algorithms for higher-order unification). +Prof. Daniel Friedman and his group use nominal +unification in their alpha-Kanren system implemented in Scheme. +Prof. Maribel Fernandez and her student +improved the nominal unification algorithm to be quadratic. +My funding for this work was provided through a research fellowship from +Corpus Christi College, Cambridge. +
+Classical Logic +I was Ph.D. student in the University of Cambridge +Computer Laboratory +and for three years +called Gonville and Caius College my home. I was very lucky to have +Dr Gavin Bierman +as supervisor. My research in Cambridge was also very much influenced by +Prof. Martin Hyland. +Some details on my thesis "Classical Logic and Computation" are +elsewhere, including +a Java Applet that +'visualises' some of the results from the thesis. I completed the writing of +the thesis in Marseille in the group of +Prof. Jean-Yves Girard. My study in +Cambridge was funded by two scholarships +from the German government; my year in Marseille by a TMR-fellowship from the EU. +My PhD was also one starting point for the EPSRC Project on the Semantics of Classical +Proofs. The strong normalisation result in the PhD has been used in 2007 by +Prof. Claude Kirchner and his +students for proving consistency of their superdeduction system lemuridae. +
+Forum +I implemented Forum, a programming language based on classical linear logic, +as my M.Phil. thesis. This was joint work with +Dr Roy Dyckhoff. +Details can be found +here and +here. During my +M.Phil study I spent one month in Philadelphia invited by +Prof. Dale Miller. +
+G4ip An implementation of G4ip using the imperative language Pizza can be found +here. +Pizza, written around 1996, is a conservative +extension of Java and a precursor of Scala. My implementation illustrates the technique of +success continuations in proof search. +
+

+ Last modified: Fri Nov 13 13:13:26 GMT 2015 +[Validate this page.] + + diff -r 05e5d68c9627 -r f1be8028a4a9 lex/index.html~ --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/lex/index.html~ Wed Mar 30 17:27:34 2016 +0100 @@ -0,0 +1,70 @@ + + +HGMP + + + + + + + + + +
+

POSIX Lexing with Derivatives of Regular Expressions (Proof Pearl)

+ +Fahad Ausaf, Roy Dyckhoff, Christian Urban +

+ +Brzozowski introduced the notion of derivatives for regular +expressions. They can be used for a very simple regular expression +matching algorithm. Sulzmann and Lu cleverly extended this algorithm +in order to deal with POSIX matching, which is the underlying +disambiguation strategy for regular expressions needed in lexers. +Sulzmann and Lu have made available on-line what they call a +''rigorous proof'' of the correctness of their algorithm w.r.t. their +specification; regrettably, it appears to us to have unfillable gaps. +In the first part of this paper we give our inductive definition of +what a POSIX value is and show (i) that such a value is unique (for +given regular expression and string being matched) and (ii) that +Sulzmann and Lu's algorithm always generates such a value (provided +that the regular expression matches the string). We also prove the +correctness of an optimised version of the POSIX matching +algorithm. Our definitions and proof are much simpler than those by +Sulzmann and Lu and can be easily formalised in Isabelle/HOL. In the +second part we analyse the correctness argument by Sulzmann and Lu and +explain why it seems hard to turn it into a proof rigorous enough to +be accepted by a system such as Isabelle/HOL. + +

Theory Files for Isabelle 2016

+ + + + +

Links

+ + + +
+

+ Last modified: Tue Mar 15 12:47:17 GMT 2016 +[Validate this page.] + +