# HG changeset patch # User Christian Urban # Date 1459350385 -3600 # Node ID 9e089afe508696c97275fd3fe1f11fabbd37cc35 # Parent 3f6d96fa59013c0e911528643db4906f04f8518b added Nominal diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/LF/index.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/LF/index.html Wed Mar 30 16:06:25 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 3f6d96fa5901 -r 9e089afe5086 Nominal/activities.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities.html Wed Mar 30 16:06:25 2016 +0100 @@ -0,0 +1,181 @@ + + + + + The Nominal Datatype Package + + + + +

Our Activities

+ + +

2013

+ + +

Past

+ +

2013

+ + +

2012

+ + +

2011

+ + +

2010

+ + +

2009

+ + +

2008

+ + + +

2007

+ + + + + + + diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/activities/oregon.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/activities/oregon.html Wed Mar 30 16:06:25 2016 +0100 @@ -0,0 +1,49 @@ + + + + + The Nominal Datatype Package + + + + +

Slides

+ +Slides 1
+Slides 2
+Slides 3
+ +

Example Theories from the Lectures

+ +Minimal.thy
+Lec1.thy
+Lec2.thy
+CK_Machine.thy
+CK_Machine_full.thy
+ +

Download and Installation

+ +You need four packages: Polyml, Isabelle 2008, an emacs and Proof General:

+ +Download
+Installation Notes

+ +Make sure you download the HOL-Nominal heap file. If you use MacOSX and not +already use Xemacs, then the easiest method to get Isabelle running is to +use Carbon Emacs and the latest version of ProofGeneral. Ask me for +details.

+ +Once you have Isabelle running make sure XSymbols are switched on +and the HOL-Nominal heap is loaded.
+ +

More Examples

+ +See src/HOL/Nominal/Examples in the place where you have installed Isabelle.

+ + + + + + + + diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/cookie.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/cookie.html Wed Mar 30 16:06:25 2016 +0100 @@ -0,0 +1,1 @@ + diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/documentation.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/documentation.html Wed Mar 30 16:06:25 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 3f6d96fa5901 -r 9e089afe5086 Nominal/download-old.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/download-old.html Wed Mar 30 16:06:25 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 3f6d96fa5901 -r 9e089afe5086 Nominal/download.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/download.html Wed Mar 30 16:06:25 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 3f6d96fa5901 -r 9e089afe5086 Nominal/example.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/example.html Wed Mar 30 16:06:25 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] +
+
+ +

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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 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 1997.5 2030 1992.8 2025.2 C +1991.6 2024.7 1990.8 2024.9 1990.1 2025.4 C +1989.4 2024.9 1988.1 2025.2 1987.2 2024.4 C +1987.1 2025.8 1988.3 2026.5 1989.4 2026.8 C +1989.4 2026.6 1989.3 2026.2 1989.6 2026.1 C +1989.9 2026.2 1989.9 2026.6 1989.9 2026.8 C +1989.8 2026.6 1990 2026.5 1990.1 2026.4 C +1990.2 2027 1991.1 2028.3 1990.1 2028 C +1989.9 2037.9 1990.5 2044.1 1989.6 2054.2 C +1985.9 2058 1979.7 2057.4 1976 2061.2 C +1974.5 2061.6 1975.2 2059.9 1974.5 2059.5 C +1973.9 2058 1975.6 2057.8 1975 2056.6 C +1974.5 2057.1 1974.6 2055.3 1973.6 2055.9 C +1971.9 2059.3 1974.7 2062.1 1973.1 2065.5 C +1973.1 2071.2 1972.9 2077 1973.3 2082.5 C +1967.7 2085.6 1962 2088 1956.3 2090.7 C +1953.9 2092.4 1951 2093 1948.6 2094.8 C +1943.7 2089.9 1937.9 2084.3 1933 2079.6 C +1931.3 2076.1 1933.2 2071.3 1932.3 2067.2 C +1931.3 2062.9 1933.3 2060.6 1932 2057.6 C +1932.7 2056.5 1930.9 2053.3 1933.2 2051.8 C +1936.8 2050.1 1940.1 2046.9 1944 2046.8 C +1946.3 2049.7 1949.3 2051.9 1952 2054.4 C +1954.5 2054.2 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2000.2 C +2004.9 2000 2008.9 2001.3 2007.2 2002.1 C +2006.7 2007.7 2007 2015.1 2006.9 2021.1 C +2006.7 2022.1 2005.4 2022.8 2006.2 2023.5 C +2006.6 2023.1 2008 2025.9 2007.6 2024.2 C +f +S +n +1989.9 2023.5 m +1989.5 2022.6 1991.4 2023.2 1991.8 2023 C +1992.2 2023.2 1991.9 2023.7 1992.5 2023.5 C +1991.6 2023.2 1991.6 2022.2 1990.6 2021.8 C +1990.4 2022.8 1989 2022.8 1988.9 2023.5 C +1988.5 2023 1988.7 2022.6 1988.7 2023.5 C +1989.1 2023.5 1990.2 2023.5 1989.9 2023.5 C +f +[0 0.5 0.5 0.2] vc +S +n +2003.3 2023.5 m +2003.1 2023.3 2003.1 2023.2 2003.3 2023 C +2003.7 2023.1 2003.9 2022.9 2003.8 2022.5 C +2003.4 2022.2 2001.2 2022.3 2002.4 2023 C +2002.6 2022.9 2002.7 2023.1 2002.8 2023.2 C +2000.7 2023.7 2003.9 2023.4 2003.3 2023.5 C +[0 1 1 0.23] vc +f +S +n +1986.8 2019.4 m +1987.8 2019.8 1987.5 2018.6 1987.2 2018 C +1986.2 2017.8 1987.3 2020.5 1986.3 2019.2 C +1986.3 2017.7 1986.3 2020.6 1986.3 2021.3 C +1988.5 2023.1 1985.6 2020.3 1986.8 2019.4 C +f +S +n +1975.7 2018.2 m +1976.1 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2090.4 C +1945.9 2091.6 1947 2092.7 1948.1 2093.8 C +[0 0.4 1 0] vc +f +S +n +1953.4 2091.4 m +1954.8 2090.7 1956.3 2090 1957.7 2089.2 C +1956.3 2090 1954.8 2090.7 1953.4 2091.4 C +[0 0.2 1 0] vc +f +S +n +1954.1 2091.4 m +1956.6 2089.6 1957.2 2089.6 1954.1 2091.4 C +[0 0.4 1 0] vc +f +S +n +1962.3 2087.3 m +1963.7 2086.6 1965.2 2085.9 1966.6 2085.2 C +1965.2 2085.9 1963.7 2086.6 1962.3 2087.3 C +f +S +n +vmrs +1967.1 2084.9 m +1968.3 2084.4 1969.7 2083.8 1970.9 2083.2 C +1969.7 2083.8 1968.3 2084.4 1967.1 2084.9 C +[0 0.4 1 0] vc +f +0.4 w +2 J +2 M +S +n +1982.7 2080.6 m +1981.5 2079.5 1980.5 2078.4 1979.3 2077.2 C +1980.5 2078.4 1981.5 2079.5 1982.7 2080.6 C +f +S +n +1988 2078.2 m +1989.4 2077.5 1990.8 2076.8 1992.3 2076 C +1990.8 2076.8 1989.4 2077.5 1988 2078.2 C +[0 0.2 1 0] vc +f +S +n +1988.7 2078.2 m +1991.1 2076.4 1991.8 2076.4 1988.7 2078.2 C +[0 0.4 1 0] vc +f +S +n +1976.2 2063.8 m +1978.6 2062.2 1976 2063.3 1976 2064.5 C +1976.1 2067.8 1975.5 2071.4 1976.4 2074.4 C 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2045.3 1973.6 2045 1973.3 2045.8 C +1975 2046.3 1975.8 2049.8 1978.1 2049.4 C +1978.4 2050.9 1978.7 2048.5 1977.9 2049.2 C +1977.7 2048.7 1977.2 2047.8 1977.4 2047.7 C +[0 0.5 0.5 0.2] vc +f +0.4 w +2 J +2 M +S +n +1957.2 2048.9 m +1958.7 2048.2 1960.1 2047.5 1961.6 2046.8 C +1960.1 2047.5 1958.7 2048.2 1957.2 2048.9 C +[0 0.2 1 0] vc +f +S +n +1958 2048.9 m +1960.4 2047.1 1961.1 2047.1 1958 2048.9 C +[0 0.4 1 0] vc +f +S +n +1966.1 2044.8 m +1967.6 2044.1 1969 2043.4 1970.4 2042.7 C +1969 2043.4 1967.6 2044.1 1966.1 2044.8 C +f +S +n +1970.9 2042.4 m +1972.2 2041.9 1973.5 2041.3 1974.8 2040.8 C +1973.5 2041.3 1972.2 2041.9 1970.9 2042.4 C +f +S +n +2012 2034.5 m +2010.4 2034.6 2009.3 2032.9 2009.1 2032.1 C +2009.4 2031 2010.3 2031.3 2011.2 2031.6 C +2012.5 2031.8 2011.6 2035.2 2013.9 2034.3 C +2014.4 2034.3 2015.4 2035.4 2014.4 2036 C +2012.7 2037.2 2015.3 2036.3 2014.8 2036.2 C +2015.9 2036.6 2014.8 2035.2 2014.8 2034.8 C +2014.4 2034.3 2013.6 2033.4 2012.9 2033.3 C +2011.5 2031 2009.3 2029.4 2007.4 2028 C +2007.5 2026.5 2007.3 2027.9 2007.2 2028.3 C +2007.9 2028.8 2008.7 2029.1 2009.3 2030 C +2009.6 2030.7 2009 2031.9 2008.4 2031.6 C +2006.7 2031 2007.7 2028 2005 2028.8 C +2004.8 2028.6 2004.3 2028.2 2003.8 2028.3 C +2006.6 2030.4 2008.9 2033.7 2011.2 2036.2 C +2011.8 2036.4 2012.9 2035.8 2012.9 2036.7 C +2012.7 2036.1 2011.8 2035 2012 2034.5 C +[0 0.5 0.5 0.2] vc +f +S +n +1981.2 2005.2 m +1979.7 2005.3 1978.6 2003.6 1978.4 2002.8 C +1978.7 2001.8 1979.6 2002.1 1980.5 2002.4 C +1981.8 2002.5 1980.9 2005.9 1983.2 2005 C +1983.7 2005.1 1984.7 2006.1 1983.6 2006.7 C +1982 2007.9 1984.6 2007 1984.1 2006.9 C +1985.2 2007.3 1984.1 2006 1984.1 2005.5 C +1983.6 2005 1982.9 2004.1 1982.2 2004 C +1980.8 2001.7 1978.6 2000.1 1976.7 1998.8 C +1976.7 1997.2 1976.6 1998.6 1976.4 1999 C +1977.2 1999.5 1978 1999.8 1978.6 2000.7 C +1978.8 2001.5 1978.3 2002.7 1977.6 2002.4 C +1976 2001.8 1977 1998.7 1974.3 1999.5 C +1974.1 1999.3 1973.6 1998.9 1973.1 1999 C +1975.8 2001.2 1978.2 2004.4 1980.5 2006.9 C +1981.1 2007.1 1982.1 2006.5 1982.2 2007.4 C +1982 2006.8 1981.1 2005.7 1981.2 2005.2 C +f +S +n +1966.8 1976.4 m +1969.4 1973 1974.4 1974.6 1976.2 1970.4 C +1972.7 1974 1968 1975.1 1964 1977.4 C +1960.9 1979.9 1957.1 1981.8 1953.9 1982.7 C +1958.4 1981.1 1962.6 1978.8 1966.8 1976.4 C +[0.18 0.18 0 0.78] vc +f +S +n +1948.4 2093.8 m +1949.8 2093.1 1951.2 2092.5 1952.7 2091.9 C +1951.2 2092.5 1949.8 2093.1 1948.4 2093.8 C +[0 0.2 1 0] vc +f +S +n +1948.1 2093.6 m +1947.3 2092.8 1946.5 2091.9 1945.7 2091.2 C +1946.5 2091.9 1947.3 2092.8 1948.1 2093.6 C +f +S +n +vmrs +1942.1 2087.8 m +1943.5 2088.4 1944.3 2089.5 1945.2 2090.7 C +1944.8 2089.3 1943.3 2088.3 1942.1 2087.8 C +[0 0.2 1 0] vc +f +0.4 w +2 J +2 M +S +n +1933.5 2078.4 m +1933.5 2078 1933.2 2079 1933.7 2079.4 C +1935 2080.4 1936.2 2081.3 1937.1 2082.8 C +1936.7 2080.7 1933.7 2080.7 1933.5 2078.4 C +f +S +n +1982.9 2080.6 m +1984.4 2079.9 1985.8 2079.3 1987.2 2078.7 C +1985.8 2079.3 1984.4 2079.9 1982.9 2080.6 C +f +S +n +1982.7 2080.4 m +1981.9 2079.6 1981.1 2078.7 1980.3 2078 C +1981.1 2078.7 1981.9 2079.6 1982.7 2080.4 C +f +S +n +1977.4 2075.1 m +1977.9 2075.3 1979.1 2076.4 1979.8 2077.5 C +1979 2076.8 1978.7 2075.1 1977.4 2075.1 C +f +S +n +1952.2 2051.3 m +1953.6 2050.7 1955.1 2050.1 1956.5 2049.4 C +1955.1 2050.1 1953.6 2050.7 1952.2 2051.3 C +f +S +n +1952 2051.1 m +1951.2 2050.3 1950.3 2049.5 1949.6 2048.7 C +1950.3 2049.5 1951.2 2050.3 1952 2051.1 C +f +S +n +1946 2045.3 m +1947.3 2045.9 1948.1 2047 1949.1 2048.2 C +1948.6 2046.8 1947.1 2045.8 1946 2045.3 C +f +S +n +1937.3 2036 m +1937.4 2035.5 1937 2036.5 1937.6 2036.9 C +1938.8 2037.9 1940.1 2038.8 1940.9 2040.3 C +1940.6 2038.2 1937.6 2038.2 1937.3 2036 C +f +S +n +1935.2 2073.2 m +1936.4 2069.9 1935.8 2061.8 1935.6 2056.4 C +1935.8 2055.9 1936.3 2055.7 1936.1 2055.2 C +1935.7 2054.7 1935 2055 1934.4 2054.9 C +1934.4 2061.5 1934.4 2068.7 1934.4 2074.6 C +1935.7 2075.1 1936 2073.7 1935.2 2073.2 C +[0 0.01 1 0] vc 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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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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 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 2013.1 1923.2 2014.8 C +f +S +n +1933 2012.7 m +1933 2011.7 1933 2010.8 1933 2009.8 C +1933 2010.8 1933 2011.7 1933 2012.7 C +f +S +n +1909.7 2008.1 m +1908.9 2009.2 1910.1 2009.9 1910.4 2011 C +1911.1 2010.7 1908.9 2009.7 1909.7 2008.1 C +f +S +n +1930.1 2007.2 m +1929.2 2006.6 1929.2 2008 1928.2 2007.9 C +1929.1 2008.8 1928.4 2009.4 1929.4 2010 C +1930.7 2010.2 1929.9 2008.1 1930.1 2007.2 C +f +S +n +1915 2004.3 m +1914 2006.4 1915.7 2007.6 1916.9 2008.8 C +1915.9 2007.5 1914.4 2006.3 1915 2004.3 C +f +S +n +1937.8 2006.2 m +1936.4 2006.3 1934 2005.2 1933.5 2006.9 C +1934.7 2006.1 1937.1 2006.6 1937.8 2006.2 C +f +S +n +1983.9 2006 m +1983.3 2004.3 1980.2 2005.4 1981 2003.1 C +1980.6 2002.7 1978.7 2001.5 1978.6 2002.8 C +1978.8 2004.4 1982.1 2004.5 1981.7 2006.4 C +1982.3 2007.2 1983.5 2007.2 1983.9 2006 C +f +S +n +1942.1 2003.1 m +1942 2001.9 1940.6 2001.3 1939.7 2000.9 C +1940.2 2001.9 1943 2001.8 1941.4 2003.3 C +1940.9 2003.6 1939.7 2003.6 1939.7 2004.3 C +1940.5 2003.9 1941.6 2003.7 1942.1 2003.1 C +f +S +n +vmrs +1967.1 1998.5 m +1967 1998.6 1966.8 1998.8 1966.6 1998.8 C +1966.7 1999.8 1967.8 2000.2 1968.5 2000.7 C +1969.4 2000.2 1968.2 1998.8 1967.1 1998.5 C +[0 0 0 0.18] vc +f +0.4 w +2 J +2 M +S +n +1936.4 1997.6 m +1936.7 1995.6 1935.8 1996.4 1936.1 1997.8 C +1936.9 1997.9 1936.5 1999.2 1937.6 1999 C +1937 1998.5 1936.8 1998 1936.4 1997.6 C +f +S +n +1975.5 1996.6 m +1975.2 1996.7 1975.1 1996.5 1975 1996.4 C +1975 1996.2 1975 1996.1 1975 1995.9 C +1973.9 1996.5 1972 1995.5 1971.2 1996.8 C +1971.2 1998.6 1977 1999.9 1975.5 1996.6 C +[0 0 0 0] vc +f +S +n +1949.3 2097.4 m +1950.3 2096.9 1951.2 2096.4 1952.2 2096 C +1951.2 2096.4 1950.3 2096.9 1949.3 2097.4 C +[0.4 0.4 0 0] vc +f +S +n +1960.8 2091.6 m +1961.7 2091.2 1962.6 2090.9 1963.5 2090.4 C +1962.6 2090.9 1961.7 2091.2 1960.8 2091.6 C +f +S +n +1964.4 2090 m +1965.7 2089.2 1967 2088.5 1968.3 2087.8 C +1967 2088.5 1965.7 2089.2 1964.4 2090 C +f +S +n +1976 2083.7 m +1976.3 2082.3 1975.2 2079.1 1976.9 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b/Nominal/ijcar-08.html Wed Mar 30 16:06:25 2016 +0100 @@ -0,0 +1,18 @@ + + + + + Nominal Methods Group + + + + + + + + + + diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/index.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/index.html Wed Mar 30 16:06:25 2016 +0100 @@ -0,0 +1,24 @@ + + + + + Nominal Methods Group + + + + + + + + + + + + + + + + diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/main.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/main.html Wed Mar 30 16:06:25 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 and Isabelle 2012 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: + +

+

+ +

+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 3f6d96fa5901 -r 9e089afe5086 Nominal/manual/INSTALL --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/manual/INSTALL Wed Mar 30 16:06:25 2016 +0100 @@ -0,0 +1,71 @@ +=================================================== +Installation Notes for the Nominal Datatype Package +=================================================== + +The nominal datatype package is part of the development +snapshots of Isabelle. However, please download the +nominal Isabelle snapshot from + + http://isabelle.in.tum.de/nominal/download.html + +Unpack the sources in a suitable place, which in the +following will be called [ISABELLE_HOME]. If you use +Isabelle for the first time, remember that you also +have to install ProofGeneral and Emacs or XEmacs. +Instructions are given at + + http://www.cl.cam.ac.uk/research/hvg/Isabelle/installation.html + +The building process for the nominal datatype package +needs to be started inside the [ISABELLE_HOME] directory +with the command: + + ./build -m HOL-Nominal + +The build can take 5 or more minutes. After the build +completes, install the files with the command + + ./bin/isatool install -p /usr/local/bin + +where -p /usr/local/bin is an option that refers to a +directory in which executables are stored on your system +(you might like to adapt this therefore). + +The sources of the nominal datatype package can be +found in the directory + + [ISABELLE_HOME]/src/HOL/Nominal + +The examples are in + + [ISABELLE_HOME]/src/HOL/Nominal/Examples + +=================================================== +Starting Isabelle with the Nominal Datatype Package +Preloaded +=================================================== + +Isabelle including the ProofGeneral interface can be +started with + + Isabelle <> & + +This automatically loads the correct keyword file +needed for the nominal datatype package and starts +ProofGeneral. You can enable the option HOL-Nominal +in the menu "Isabelle -> Logics" in order to load +the pre-built heap of Isabelle that includes the +nominal package already. If not, the nominal theories +will be rechecked. + +====================== +Problems / Bugs / News +====================== + +If you encounter any problems or bugs, please let us +know at the nominal mailing list to which you can +subscribe at + + https://mailmanbroy.informatik.tu-muenchen.de/mailman/listinfo/nominal-isabelle + +We will also announce all updates there. \ No newline at end of file diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/manual/SOS.pdf Binary file Nominal/manual/SOS.pdf has changed diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/manual/nominal_datatype_manual.pdf Binary file Nominal/manual/nominal_datatype_manual.pdf has changed diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/manual/nominal_datatype_manual.ps --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/manual/nominal_datatype_manual.ps Wed Mar 30 16:06:25 2016 +0100 @@ -0,0 +1,50940 @@ +%!PS-Adobe-2.0 +%%Creator: dvips(k) 5.97 Copyright 2008 Radical Eye Software +%%Title: root.dvi +%%CreationDate: Mon Dec 22 11:57:06 2008 +%%Pages: 57 +%%PageOrder: Ascend +%%BoundingBox: 0 0 596 842 +%%DocumentFonts: CharterBT-Roman CharterBT-Bold CMSY10 CMTT10 +%%+ CharterBT-Italic CMSY5 CMSY6 CMMI10 CMR7 CMR10 CMMI7 CMMI8 CMSY7 +%%+ CMSY8 CMR8 CMSS8 CMBSY10 CMEX10 MSAM10 CMTT12 CMSY9 +%%DocumentPaperSizes: a4 +%%EndComments +%DVIPSWebPage: (www.radicaleye.com) +%DVIPSCommandLine: dvips -D 600 -q -o root.ps root.dvi +%DVIPSParameters: dpi=600 +%DVIPSSource: TeX output 2008.12.22:1157 +%%BeginProcSet: tex.pro 0 0 +%! +/TeXDict 300 dict def TeXDict begin/N{def}def/B{bind def}N/S{exch}N/X{S +N}B/A{dup}B/TR{translate}N/isls false N/vsize 11 72 mul N/hsize 8.5 72 +mul N/landplus90{false}def/@rigin{isls{[0 landplus90{1 -1}{-1 1}ifelse 0 +0 0]concat}if 72 Resolution div 72 VResolution div neg scale isls{ +landplus90{VResolution 72 div vsize mul 0 exch}{Resolution -72 div hsize +mul 0}ifelse TR}if Resolution VResolution vsize -72 div 1 add mul TR[ +matrix currentmatrix{A A round sub abs 0.00001 lt{round}if}forall round +exch round exch]setmatrix}N/@landscape{/isls true N}B/@manualfeed{ +statusdict/manualfeed true put}B/@copies{/#copies X}B/FMat[1 0 0 -1 0 0] +N/FBB[0 0 0 0]N/nn 0 N/IEn 0 N/ctr 0 N/df-tail{/nn 8 dict N nn begin +/FontType 3 N/FontMatrix fntrx N/FontBBox FBB N string/base X array +/BitMaps X/BuildChar{CharBuilder}N/Encoding IEn N end A{/foo setfont}2 +array copy cvx N load 0 nn put/ctr 0 N[}B/sf 0 N/df{/sf 1 N/fntrx FMat N +df-tail}B/dfs{div/sf X/fntrx[sf 0 0 sf neg 0 0]N df-tail}B/E{pop nn A +definefont setfont}B/Cw{Cd A length 5 sub get}B/Ch{Cd A length 4 sub get +}B/Cx{128 Cd A length 3 sub get sub}B/Cy{Cd A length 2 sub get 127 sub} +B/Cdx{Cd A length 1 sub get}B/Ci{Cd A type/stringtype ne{ctr get/ctr ctr +1 add N}if}B/CharBuilder{save 3 1 roll S A/base get 2 index get S +/BitMaps get S get/Cd X pop/ctr 0 N Cdx 0 Cx Cy Ch sub Cx Cw add Cy +setcachedevice Cw Ch true[1 0 0 -1 -.1 Cx sub Cy .1 sub]{Ci}imagemask +restore}B/D{/cc X A type/stringtype ne{]}if nn/base get cc ctr put nn +/BitMaps get S ctr S sf 1 ne{A A length 1 sub A 2 index S get sf div put +}if put/ctr ctr 1 add N}B/I{cc 1 add D}B/bop{userdict/bop-hook known{ +bop-hook}if/SI save N @rigin 0 0 moveto/V matrix currentmatrix A 1 get A +mul exch 0 get A mul add .99 lt{/QV}{/RV}ifelse load def pop pop}N/eop{ +SI restore userdict/eop-hook known{eop-hook}if showpage}N/@start{ +userdict/start-hook known{start-hook}if pop/VResolution X/Resolution X +1000 div/DVImag X/IEn 256 array N 2 string 0 1 255{IEn S A 360 add 36 4 +index cvrs cvn put}for pop 65781.76 div/vsize X 65781.76 div/hsize X}N +/p{show}N/RMat[1 0 0 -1 0 0]N/BDot 260 string N/Rx 0 N/Ry 0 N/V{}B/RV/v{ +/Ry X/Rx X V}B statusdict begin/product where{pop false[(Display)(NeXT) +(LaserWriter 16/600)]{A length product length le{A length product exch 0 +exch getinterval eq{pop true exit}if}{pop}ifelse}forall}{false}ifelse +end{{gsave TR -.1 .1 TR 1 1 scale Rx Ry false RMat{BDot}imagemask +grestore}}{{gsave TR -.1 .1 TR Rx Ry scale 1 1 false RMat{BDot} +imagemask grestore}}ifelse B/QV{gsave newpath transform round exch round +exch itransform moveto Rx 0 rlineto 0 Ry neg rlineto Rx neg 0 rlineto +fill grestore}B/a{moveto}B/delta 0 N/tail{A/delta X 0 rmoveto}B/M{S p +delta add tail}B/b{S p tail}B/c{-4 M}B/d{-3 M}B/e{-2 M}B/f{-1 M}B/g{0 M} +B/h{1 M}B/i{2 M}B/j{3 M}B/k{4 M}B/w{0 rmoveto}B/l{p -4 w}B/m{p -3 w}B/n{ +p -2 w}B/o{p -1 w}B/q{p 1 w}B/r{p 2 w}B/s{p 3 w}B/t{p 4 w}B/x{0 S +rmoveto}B/y{3 2 roll p a}B/bos{/SS save N}B/eos{SS restore}B end + +%%EndProcSet +%%BeginProcSet: 8r.enc 0 0 +% File 8r.enc TeX Base 1 Encoding Revision 2.0 2002-10-30 +% +% @@psencodingfile@{ +% author = "S. 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All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMSY10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.035 def +/isFixedPitch false def +end readonly def +/FontName /CMSY10 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 0 /minus put +dup 2 /multiply put +dup 15 /bullet put +dup 17 /equivalence put +dup 18 /reflexsubset put +dup 24 /similar put +dup 33 /arrowright put +dup 36 /arrowboth put +dup 41 /arrowdblright put +dup 43 /arrowdbldown put +dup 44 /arrowdblboth put +dup 50 /element put +dup 54 /negationslash put +dup 56 /universal put +dup 57 /existential put +dup 58 /logicalnot put +dup 91 /union put +dup 94 /logicaland put +dup 95 /logicalor put +dup 96 /turnstileleft put +dup 102 /braceleft put +dup 103 /braceright put +dup 106 /bar put +dup 110 /backslash put +readonly def +/FontBBox{-29 -960 1116 775}readonly def 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+0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark +%%EndFont +%%BeginFont: CharterBT-Italic +%!PS-AdobeFont-1.0 +%%CreationDate: Fri Nov 2 19:03:54 1990 +% Bitstream Type 1 Font Program +% Copyright 1990 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. Use, +% duplication or disclosure by the Government is subject to restrictions +% as set forth in the license agreement and in FAR 52.227-19 (c) (2) (May, 1987), +% when applicable, or the applicable provisions of the DOD FAR supplement +% 252.227-7013 subdivision (a) (15) (April, 1988) or subdivision (a) (17) +% (April, 1988). Contractor/manufacturer is Bitstream Inc., +% 215 First Street, Cambridge, MA 02142. +% Bitstream is a registered trademark of Bitstream Inc. +11 dict begin +/FontInfo 9 dict dup begin +/version (2.0-1.0) readonly def +/Notice (Copyright 1990 as an unpublished work by Bitstream Inc. All rights reserved. Confidential.) readonly def +/FullName (Bitstream Charter Italic) readonly def +/FamilyName (Bitstream Charter) readonly def +/Weight (Normal) readonly def +/ItalicAngle 11.0000 def +/isFixedPitch false def +/UnderlinePosition -109 def +/UnderlineThickness 61 def +end readonly def +/FontName /CharterBT-Italic def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding StandardEncoding def +/FontBBox {-226 -236 1174 980} readonly def +currentdict end +currentfile eexec +D9D66F632A4812FBAE89F8A58F28761E72B1FFC5625083034B3E1ADCDDE02FA4 +B44AE8F3A7B85787C8C90047C8CC19AF3F685AB532A42DE6DDE2B6C900F290EA +0E843501E6741A47C20B736B9394214370E11946173895F8DE508780F72F0EBA +B617E6A7468FB2D84028D377CDC3C4E337E3066313976E514621C47725A95FE2 +55D6B29C4B5E91721651BF1D56CDCD84D4FA9F072BE27E14FBB961CCD91008A1 +CDEFB20D6B8674ACB2DC8A1C918BC55D8CBCA5C32F80A63C54119B24DAB62F09 +9A91E000DC8726FCD5AB1CEC8160DC0ADB17E317C54D62AB0ED98728A951A81E 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U.S. GOVERNMENT RESTRICTED RIGHTS +% This software typeface product is provided with RESTRICTED RIGHTS. Use, +% duplication or disclosure by the Government is subject to restrictions +% as set forth in the license agreement and in FAR 52.227-19 (c) (2) (May, 1987), +% when applicable, or the applicable provisions of the DOD FAR supplement +% 252.227-7013 subdivision (a) (15) (April, 1988) or subdivision (a) (17) +% (April, 1988). Contractor/manufacturer is Bitstream Inc., +% 215 First Street, Cambridge, MA 02142. +% Bitstream is a registered trademark of Bitstream Inc. +11 dict begin +/FontInfo 9 dict dup begin +/version (2.0-1.0) readonly def +/Notice (Copyright 1990 as an unpublished work by Bitstream Inc. All rights reserved. Confidential.) readonly def +/FullName (Bitstream Charter) readonly def +/FamilyName (Bitstream Charter) readonly def +/Weight (Normal) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +/UnderlinePosition -109 def +/UnderlineThickness 61 def +end readonly def +/FontName /CharterBT-Roman def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding StandardEncoding def +/FontBBox {-161 -236 1193 963} readonly def +currentdict end +currentfile eexec +D9D66F632A4812FBAE89F8A58F28761E72B1FFC5625083034B3E1ADCDDE02FA4 +B44AE8F3A7B85787C8C90047C8CC19AF3F685AB532A42DE6DDE2B6C900F290EA +0E843501E6741A47C20B736B9394214370E11946173895F8DE508780F72F0EBA +B617E6A7468FB2D84028D377CDC3C4E337E3066313976E514621C47725A95FE2 +55D6B29C4B5E91721651BF1D56CDCD84D4FA9F072BE27E14FBB961CCD91008A1 +CDEFB20D6B8674ACB2DC8A1C918BC55D8CBCA5C32F80A63C54119B24DAB62F09 +9A91E000DC8726FCD5AB1CEC8160DC0ADB17E317C54D62AB0ED986197F6B0529 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All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (2.1) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. 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All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.00) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMBSY10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Bold) readonly def +/ItalicAngle -14.035 def +/isFixedPitch false def +end readonly def +/FontName /CMBSY10 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 102 /braceleft put +dup 103 /braceright put +readonly def +/FontBBox{-27 -940 1332 825}readonly def +currentdict end +currentfile eexec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cleartomark +%%EndFont +%%BeginFont: CMR10 +%!PS-AdobeFont-1.1: CMR10 1.00B +%%CreationDate: 1992 Feb 19 19:54:52 +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.00B) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMR10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +end readonly def +/FontName /CMR10 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 0 /Gamma put +dup 48 /zero put +dup 49 /one put +dup 50 /two put +dup 58 /colon put +dup 61 /equal put +dup 91 /bracketleft put +dup 93 /bracketright put +dup 96 /quoteleft put +readonly def +/FontBBox{-251 -250 1009 969}readonly def +currentdict end +currentfile eexec +D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 +016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 +9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F +D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 +469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 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All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMSS8) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +end readonly def +/FontName /CMSS8 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 48 /zero put +dup 49 /one put +dup 50 /two put +dup 51 /three put +dup 52 /four put +dup 53 /five put +dup 54 /six put +dup 55 /seven put +dup 56 /eight put +dup 57 /nine put +readonly def +/FontBBox{-65 -250 1062 761}readonly def +currentdict end +currentfile eexec +D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891 +016CA6CA4B712ADEB258FAAB9A130EE605E61F77FC1B738ABC7C51CD46EF8171 +9098D5FEE67660E69A7AB91B58F29A4D79E57022F783EB0FBBB6D4F4EC35014F +D2DECBA99459A4C59DF0C6EBA150284454E707DC2100C15B76B4C19B84363758 +469A6C558785B226332152109871A9883487DD7710949204DDCF837E6A8708B8 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All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMR8) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +end readonly def +/FontName /CMR8 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 49 /one put +dup 50 /two put +readonly def +/FontBBox{-36 -250 1070 750}readonly def +currentdict end +currentfile eexec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cleartomark +%%EndFont +%%BeginFont: CMSY8 +%!PS-AdobeFont-1.1: CMSY8 1.0 +%%CreationDate: 1991 Aug 15 07:22:10 +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMSY8) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.035 def +/isFixedPitch false def +end readonly def +/FontName /CMSY8 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 3 /asteriskmath put +dup 48 /prime put +readonly def +/FontBBox{-30 -955 1185 779}readonly def +currentdict end +currentfile eexec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cleartomark +%%EndFont +%%BeginFont: CMSY7 +%!PS-AdobeFont-1.1: CMSY7 1.0 +%%CreationDate: 1991 Aug 15 07:21:52 +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMSY7) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.035 def +/isFixedPitch false def +end readonly def +/FontName /CMSY7 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 3 /asteriskmath put +dup 48 /prime put +readonly def +/FontBBox{-15 -951 1252 782}readonly def +currentdict end +currentfile eexec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cleartomark +%%EndFont +%%BeginFont: CMMI8 +%!PS-AdobeFont-1.1: CMMI8 1.100 +%%CreationDate: 1996 Jul 23 07:53:54 +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.100) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMMI8) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.04 def +/isFixedPitch false def +end readonly def +/FontName /CMMI8 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 12 /beta put +dup 100 /d put +dup 105 /i put +dup 106 /j put +dup 107 /k put +dup 108 /l put +dup 109 /m put +dup 110 /n put +readonly def +/FontBBox{-24 -250 1110 750}readonly def +currentdict end +currentfile eexec +D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE +3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B +532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 +B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B +986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE +D919C2DDD26BDC0D99398B9F4D03D6A8F05B47AF95EF28A9C561DBDC98C47CF5 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All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.100) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMMI7) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.04 def +/isFixedPitch false def +end readonly def +/FontName /CMMI7 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 12 /beta put +dup 100 /d put +dup 110 /n put +readonly def +/FontBBox{0 -250 1171 750}readonly def +currentdict end +currentfile eexec +D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE +3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B +532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 +B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B +986423E5960A5D9FBB4C956556E8DF90CBFAEC476FA36FD9A5C8175C9AF513FE +D919C2DDD26BDC0D99398B9F4D03D77639DF1232A4D6233A9CAF69B151DFD33F +C0962EAC6E3EBFB8AD256A3C654EAAF9A50C51BC6FA90B61B60401C235AFAB7B +B078D20B4B8A6D7F0300CF694E6956FF9C29C84FCC5C9E8890AA56B1BC60E868 +DA8488AC4435E6B5CE34EA88E904D5C978514D7E476BF8971D419363125D4811 +4D886EDDDCDDA8A6B0FDA5CF0603EA9FA5D4393BEBB26E1AB11C2D74FFA6FEE3 +FAFBC6F05B801C1C3276B11080F5023902B56593F3F6B1F37997038F36B9E3AB +76C2E97E1F492D27A8E99F3E947A47166D0D0D063E4E6A9B535DC9F1BED129C5 +123775D5D68787A58C93009FD5DA55B19511B95168C83429BD2D878207C39770 +012318EA7AA39900C97B9D3859E3D0B04750B8390BF1F1BC29DC22BCAD50ECC6 +A3C633D0937A59E859E5185AF9F56704708D5F1C50F78F43DFAC43C4E7DC9413 +44CEFE43279AFD3C167C942889A352F2FF806C2FF8B3EB4908D50778AA58CFFC +4D1B14597A06A994ED8414BBE8B26E74D49F6CF54176B7297CDA112A69518050 +01337CBA5478EB984CDD22020DAED9CA8311C33FBCC84177F5CE870E709FC608 +D28B3A7208EFF72988C136142CE79B4E9C7B3FE588E9824ABC6F04D141E589B3 +914A73A42801305439862414F893D5B6C327A7EE2730DEDE6A1597B09C258F05 +261BC634F64C9F8477CD51634BA648FC70F659C90DC042C0D6B68CD1DF36D615 +24F362B85A58D65A8E6DFD583EF9A79A428F2390A0B5398EEB78F4B5A89D9AD2 +A517E0361749554ABD6547072398FFDD863E40501C316F28FDDF8B550FF8D663 +9843D0BEA42289F85BD844891DB42EC7C51229D33EE7E83B1290404C799B8E8C +889787CDC7AA8BEF7021B3C18A0A61A68CCEA80153A2E1A5240843D1F5C277D3 +C5C70618A10EFFEC5E4F095AB5F20B58B4F402882B17FAC90D4112EA29F41A9E +6A598824F75E3954CD735AC93C4C90D21BA0226593E82A2EA2F05B3B5E4161CD +838160F40DAAAEE49A1C068D72C420C53B8AD2357AF66432E8BACC93D05FFF7D +97EBD604680E9E10FE0D0C10547E30C9466EF70D2E0DD40CE6FA7B49A8936E98 +DC735C51ED7D7BA7FD613243F8C66A83738F5A87EA3E0DE3AD1024290299452B +ADFB5955BF102D62F8AED8A6B8FC25ADA152A5B40C15414B0738BBDF15B889D3 +4F1BAD1C386C2531BA7393417A31CC828FC5F1B751FACA87BA0AD6DC59EBF422 +12F756A8F81F237953F606021ACC94EAC9F854A34241E99857F3AAEDB582DE8E +EBC8A91563BCFC4C764D5F932FCE55D6B331E9B70588DA97EC69CA1D1489F952 +0CF156A276675B5860C1A9F2A63DF8DE6F1E1930AA987932584D3627B24C8BAE +733D2D091B82E8A6A01DE8AB547C7B7D70089BC3C790CACEDCE97540E32E1E06 +3582B888FDDB96195A97BFE7E1E920A6CFA8AB2C28854FC95AA292D41B8B8343 +4D720F14729B04A62D188CDF0428AB0F2C58AB9D164821F3AD335E0FF1F4BF40 +1331911800A3780A33ACFF268061B4774EC73891EAABDB840FB408DA50745A21 +4A98661A66632F8DE5D8E49358693B11424DF24DE25FF3BD107F8D63FAA6F43F +93C389B4C150EA0E43079379A213CF09671AEBB38DB6B29DF55F623BA6F7E785 +58FC73CFE415E32346FACD3517041AA87658AE1841EC04D6F061024622319CA6 +740881EA5D8DB56C1E64656207F6599659626055DC58773738A72026DC8BBC1D +CC38DA5081581C8EA55D3FFBA0104FB757F57246E9F4679A217D8C5172525E1B +FDD3EC93652CBFC502D5B860FC17A9CF421AC7CF484E074FFBD3475259F8FC38 +D9FE5643501FF76A64D086E2EA2209D2D4DAFE0070C37BF2D32100080BC0A5B1 +4BA301022DBFC797A7412CC45532027237DEAAE5CA39FD033EDCF0A55F44ECF1 +1B96946FE33FEED98642CC0E75C2DBCE4E00900684704D1D5AD3C51EEC1484DF +F0A22B0CA07D5EFFBC8DC12710A0A7849CC289FC54AB8272485CAF6D074AAAA0 +C646DE04FA516D3E039FF5664694815A8FA11A10565933C0DFD564531C7ADB55 +1E584AC8B1D0F740D776FA13C6CCCB3E71761345D8A151D08DF0705E55646DC4 +4A90214EC960902772AE7D24C4E1E7916CC2ECF3EB7563EC99 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +0000000000000000000000000000000000000000000000000000000000000000 +cleartomark +%%EndFont +%%BeginFont: CMMI10 +%!PS-AdobeFont-1.1: CMMI10 1.100 +%%CreationDate: 1996 Jul 23 07:53:57 +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.100) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMMI10) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.04 def +/isFixedPitch false def +end readonly def +/FontName /CMMI10 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 21 /lambda put +dup 25 /pi put +dup 58 /period put +dup 60 /less put +dup 61 /slash put +dup 62 /greater put +dup 93 /sharp put +dup 101 /e put +dup 104 /h put +dup 108 /l put +dup 112 /p put +dup 114 /r put +dup 115 /s put +dup 120 /x put +readonly def +/FontBBox{-32 -250 1048 750}readonly def +currentdict end +currentfile eexec +D9D66F633B846A97B686A97E45A3D0AA0529731C99A784CCBE85B4993B2EEBDE +3B12D472B7CF54651EF21185116A69AB1096ED4BAD2F646635E019B6417CC77B +532F85D811C70D1429A19A5307EF63EB5C5E02C89FC6C20F6D9D89E7D91FE470 +B72BEFDA23F5DF76BE05AF4CE93137A219ED8A04A9D7D6FDF37E6B7FCDE0D90B 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All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMSY6) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.035 def +/isFixedPitch false def +end readonly def +/FontName /CMSY6 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 15 /bullet put +dup 28 /lessmuch put +dup 29 /greatermuch put +readonly def +/FontBBox{-4 -948 1329 786}readonly def +currentdict end +currentfile eexec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cleartomark +%%EndFont +%%BeginFont: CMSY5 +%!PS-AdobeFont-1.1: CMSY5 1.0 +%%CreationDate: 1991 Aug 15 07:21:16 +% Copyright (C) 1997 American Mathematical Society. All Rights Reserved. +11 dict begin +/FontInfo 7 dict dup begin +/version (1.0) readonly def +/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def +/FullName (CMSY5) readonly def +/FamilyName (Computer Modern) readonly def +/Weight (Medium) readonly def +/ItalicAngle -14.035 def +/isFixedPitch false def +end readonly def +/FontName /CMSY5 def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding 256 array +0 1 255 {1 index exch /.notdef put} for +dup 28 /lessmuch put +dup 29 /greatermuch put +readonly def +/FontBBox{21 -944 1448 791}readonly def +currentdict end +currentfile eexec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cleartomark +%%EndFont +%%BeginFont: CharterBT-Bold +%!PS-AdobeFont-1.0 +%%CreationDate: Sat Nov 3 22:32:22 1990 +% Bitstream Type 1 Font Program +% Copyright 1990 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. Use, +% duplication or disclosure by the Government is subject to restrictions +% as set forth in the license agreement and in FAR 52.227-19 (c) (2) (May, 1987), +% when applicable, or the applicable provisions of the DOD FAR supplement +% 252.227-7013 subdivision (a) (15) (April, 1988) or subdivision (a) (17) +% (April, 1988). Contractor/manufacturer is Bitstream Inc., +% 215 First Street, Cambridge, MA 02142. +% Bitstream is a registered trademark of Bitstream Inc. +11 dict begin +/FontInfo 9 dict dup begin +/version (2.0-1.0) readonly def +/Notice (Copyright 1990 as an unpublished work by Bitstream Inc. All rights reserved. Confidential.) readonly def +/FullName (Bitstream Charter Bold) readonly def +/FamilyName (Bitstream Charter) readonly def +/Weight (Bold) readonly def +/ItalicAngle 0 def +/isFixedPitch false def +/UnderlinePosition -109 def +/UnderlineThickness 90 def +end readonly def +/FontName /CharterBT-Bold def +/PaintType 0 def +/FontType 1 def +/FontMatrix [0.001 0 0 0.001 0 0] readonly def +/Encoding StandardEncoding def +/FontBBox {-166 -236 1262 963} readonly def +currentdict end +currentfile eexec +D9D66F632A4812FBAE89F8A58F28761E72B1FFC5625083034B3E1ADCDDE02FA4 +B44AE8F3A7B85787C8C90047C8CC19AF3F685AB532A42DE6DDE2B6C900F290EA +0E843501E6741A47C20B736B9394214370E11946173895F8DE508780F72F0EBA +B617E6A7468FB2D84028D377CDC3C4E337E3066313976E514621C47725A95FE2 +55D6B29C4B5E91721651BF1D56CDCD84D4FA9F072BE27E14FBB961CCD91008A1 +CDEFB20D6B8674ACB2DC8A1C918BC55D8CBCA5C32F80A63C54119B24DAB62F09 +9A91E000DC8726FCD5AB1CEC8160DC0ADB17E317C54D62AB0EDEF4D057DACD7D 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+ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff +ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff + + +showpage + +% stop using temporary dictionary +end + +% restore original state +origstate restore + +%%Trailer + +%%EndDocument + @endspecial 1321 2719 a FM(Nominal)41 b(Isabelle)2369 +2667 y FL(1)1055 3150 y(Christian)27 b(Urban)220 b(Stefan)27 +b(Berghofer)1089 3410 y FK(with)g(contributions)e(from)g(Julien)g +(Narboux)1451 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0 1]BorderArrayPatch/Subtype +/Link/Dest (page.48) cvn H.B /ANN pdfmark end + 1527 2579 +a 382 2692 a FE(Nipkow)f(et)h(al.)g([2002],)1432 2692 +y +SDict begin H.S end + 1432 2692 a FE(3)1480 2637 y +SDict begin H.R end + 1480 2637 a 1480 2692 +a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.3) cvn H.B /ANN pdfmark end + 1480 2692 a 382 2805 a FE(Pitts)f([2003],)1050 2805 +y +SDict begin H.S end + 1050 2805 a FE(24)1146 2749 y +SDict begin H.R end + 1146 2749 a 1146 2805 +a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.24) cvn H.B /ANN pdfmark end + 1146 2805 a FE(,)1241 2805 y +SDict begin H.S end + 1241 2805 a FE(26)1336 +2749 y +SDict begin H.R end + 1336 2749 a 1336 2805 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.26) cvn H.B /ANN pdfmark end + 1336 2805 a FE(,)1432 +2805 y +SDict begin H.S end + 1432 2805 a FE(36)1527 2749 y +SDict begin H.R end 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1]BorderArrayPatch/Subtype +/Link/Dest (page.29) cvn H.B /ANN pdfmark end + 1193 3370 a 382 3482 a FE(Wenzel)g([2007],)1098 +3482 y +SDict begin H.S end + 1098 3482 a FE(28)1193 3427 y +SDict begin H.R end + 1193 3427 a 1193 +3482 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.28) cvn H.B /ANN pdfmark end + 1193 3482 a 382 3595 a FE(PoplMark)f(Challenge)h([],)1480 +3595 y +SDict begin H.S end + 1480 3595 a FE(48)1575 3540 y +SDict begin H.R end + 1575 3540 a 1575 +3595 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.48) cvn H.B /ANN pdfmark end + 1575 3595 a 382 3786 a FE(abstraction,)1002 3786 +y +SDict begin H.S end + 1002 3786 a FE(19)1098 3731 y +SDict begin H.R end + 1098 3731 a 1098 3786 +a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.19) cvn H.B /ANN pdfmark end + 1098 3786 a 382 3899 a FE(atom)p 580 3899 29 4 v 33 +w(decl,)894 3899 y +SDict begin H.S end + 894 3899 a FE(20)989 3844 y +SDict begin H.R end + 989 3844 +a 989 3899 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.20) cvn H.B /ANN pdfmark end + 989 3899 a 382 4012 a FE(atoms,)716 4012 +y +SDict begin H.S end + 716 4012 a FE(20)811 3956 y +SDict begin H.R end + 811 3956 a 811 4012 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.20) cvn H.B /ANN pdfmark end + 811 +4012 a 382 4203 a FE(equivariance)e(lemmas,)1384 4203 +y +SDict begin H.S end + 1384 4203 a FE(36)1480 4147 y +SDict begin H.R end + 1480 4147 a 1480 4203 +a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.36) cvn H.B /ANN pdfmark end + 1480 4203 a 382 4394 a FE(freshness,)907 4394 y +SDict begin H.S end + 907 +4394 a FE(19)1002 4338 y +SDict begin H.R end + 1002 4338 a 1002 4394 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.19) cvn H.B /ANN pdfmark end + 1002 +4394 a FE(,)1098 4394 y +SDict begin H.S end + 1098 4394 a FE(26)1193 4338 y +SDict begin H.R end + +1193 4338 a 1193 4394 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.26) cvn H.B /ANN pdfmark end + 1193 4394 a 382 4507 a FE(functions,)907 +4507 y +SDict begin H.S end + 907 4507 a FE(37)1002 4451 y +SDict begin H.R end + 1002 4451 a 1002 +4507 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.37) cvn H.B /ANN pdfmark end + 1002 4507 a 382 4697 a FE(induction,)907 4697 +y +SDict begin H.S end + 907 4697 a FE(33)1002 4642 y +SDict begin H.R end + 1002 4642 a 1002 4697 +a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.33) cvn H.B /ANN pdfmark end + 1002 4697 a 382 4888 a FE(perm)p 580 4888 29 4 v 33 +w(simp,)894 4888 y +SDict begin H.S end + 894 4888 a FE(23)989 4833 y +SDict begin H.R end + 989 4833 +a 989 4888 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.23) cvn H.B /ANN pdfmark end + 989 4888 a 382 5001 a FE(permutations,)1050 +5001 y +SDict begin H.S end + 1050 5001 a FE(21)1146 4946 y +SDict begin H.R end + 1146 4946 a 1146 +5001 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.21) cvn H.B /ANN pdfmark end + 1146 5001 a 382 5192 a FE(support,)811 5192 y +SDict begin H.S end + +811 5192 a FE(19)907 5136 y +SDict begin H.R end + 907 5136 a 907 5192 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.19) cvn H.B /ANN pdfmark end + 907 +5192 a FE(,)1002 5192 y +SDict begin H.S end + 1002 5192 a FE(24)1098 5136 y +SDict begin H.R end + +1098 5136 a 1098 5192 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.24) cvn H.B /ANN pdfmark end + 1098 5192 a 382 5383 a FE(type-classes,)1050 +5383 y +SDict begin H.S end + 1050 5383 a FE(27)1146 5327 y +SDict begin H.R end + 1146 5327 a 1146 +5383 a +SDict begin [/Color [1 0 0]/H /I/Border [0 0 1]BorderArrayPatch/Subtype +/Link/Dest (page.27) cvn H.B /ANN pdfmark end + 1146 5383 a 1826 5652 a FK(56)p eop end +%%Trailer + +userdict /end-hook known{end-hook}if +%%EOF diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/menu.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/menu.html Wed Mar 30 16:06:25 2016 +0100 @@ -0,0 +1,154 @@ + + + + + Menu + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
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+ + + + + diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/oregon.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/oregon.html Wed Mar 30 16:06:25 2016 +0100 @@ -0,0 +1,21 @@ + + + + + The Nominal Datatype Package + + + + + + + + + + + + + + diff -r 3f6d96fa5901 -r 9e089afe5086 Nominal/title.html --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/Nominal/title.html Wed Mar 30 16:06:25 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 +

+ + +