theory Intro
imports Base
begin
(*<*)
setup{*
open_file_with_prelude
"Intro_Code.thy"
["theory Intro", "imports Main", "begin"]
*}
(*>*)
chapter {* Introduction *}
text {*
\begin{flushright}
{\em
``My thesis is that programming is not at the bottom of the intellectual \\
pyramid, but at the top. It's creative design of the highest order. It \\
isn't monkey or donkey work; rather, as Edsger Dijkstra famously \\
claimed, it's amongst the hardest intellectual tasks ever attempted.''} \\[1ex]
Richard Bornat, In {\em Defence of Programming}. \cite{Bornat-lecture}
\end{flushright}
\medskip
If your next project requires you to program on the ML-level of Isabelle,
then this tutorial is for you. It will guide you through the first steps of
Isabelle programming, and also explain ``tricks of the trade''. We also hope
the tutorial will encourage students and researchers to play with Isabelle
and implement new ideas. The source code of Isabelle can look intimidating,
but beginners can get by with knowledge of only a handful of concepts,
a small number of functions and a few basic coding conventions.
The best way to get to know the ML-level of Isabelle is by experimenting
with the many code examples included in the tutorial. The code is as far as
possible checked against the Isabelle
distribution.\footnote{\input{version}} If something does not work, then
please let us know. It is impossible for us to know every environment,
operating system or editor in which Isabelle is used. If you have comments,
criticism or like to add to the tutorial, please feel free---you are most
welcome!! The tutorial is meant to be gentle and comprehensive. To achieve
this we need your help and feedback.
*}
section {* Intended Audience and Prior Knowledge *}
text {*
This tutorial targets readers who already know how to use Isabelle for
writing theories and proofs. We also assume that readers are familiar with
the functional programming language ML, the language in which most of
Isabelle is implemented. If you are unfamiliar with either of these two
subjects, then you should first work through the Isabelle/HOL tutorial
\cite{isa-tutorial} or Paulson's book on ML \cite{paulson-ml2}. Recently,
Isabelle has adopted a sizable amount of Scala code for a slick GUI
based on jEdit. This part of the code is beyond the interest of this
tutorial, since it mostly does not concern the regular Isabelle
developer.
*}
section {* Existing Documentation *}
text {*
The following documentation about Isabelle programming already exists (and is
part of the distribution of Isabelle):
\begin{description}
\item[The Isabelle/Isar Implementation Manual] describes Isabelle
from a high-level perspective, documenting some of the underlying
concepts and interfaces.
\item[The Isabelle Reference Manual] is an older document that used
to be the main reference of Isabelle at a time when all proof scripts
were written on the ML-level. Many parts of this manual are outdated
now, but some parts, particularly the chapters on tactics, are still
useful.
\item[The Isar Reference Manual] provides specification material (like grammars,
examples and so on) about Isar and its implementation.
\end{description}
Then of course there are:
\begin{description}
\item[The Isabelle sources.] They are the ultimate reference for how
things really work. Therefore you should not hesitate to look at the
way things are actually implemented. While much of the Isabelle
code is uncommented, some parts have very helpful comments---particularly
the code about theorems and terms. Despite the lack of comments in most
parts, it is often good to look at code that does similar things as you
want to do and learn from it.
This tutorial contains frequently pointers to the
Isabelle sources. Still, the UNIX command \mbox{@{text "grep -R"}} is
often your best friend while programming with Isabelle.\footnote{Or
hypersearch if you work with jEdit.} To understand the sources,
it is often also necessary to track the change history of a file or
files. The Mercurial repository\footnote{\url{http://isabelle.in.tum.de/repos/isabelle/}}
for Isabelle provides convenient interfaces to query the history of
files and ``change sets''.
\end{description}
*}
section {* Typographic Conventions *}
text {*
All ML-code in this tutorial is typeset in shaded boxes, like the following
simple ML-expression:
\begin{isabelle}
\begin{graybox}
\isacommand{ML}~@{text "\<verbopen>"}\isanewline
\hspace{5mm}@{ML "3 + 4"}\isanewline
@{text "\<verbclose>"}
\end{graybox}
\end{isabelle}
These boxes correspond to how code can be processed inside the interactive
environment of Isabelle. It is therefore easy to experiment with the code
that is shown in this tutorial. However, for better readability we will drop
the enclosing \isacommand{ML}~@{text "\<verbopen> \<dots> \<verbclose>"} and just
write:
@{ML [display,gray] "3 + 4"}
Whenever appropriate we also show the response the code
generates when evaluated. This response is prefixed with a
@{text [quotes] ">"}, like:
@{ML_response [display,gray] "3 + 4" "7"}
The user-level commands of Isabelle (i.e., the non-ML code) are written
in \isacommand{bold face} (e.g., \isacommand{lemma}, \isacommand{apply},
\isacommand{foobar} and so on). We use @{text "$ \<dots>"} to indicate that a
command needs to be run in a UNIX-shell, for example:
@{text [display] "$ grep -R Thy_Output *"}
Pointers to further information and Isabelle files are typeset in
\textit{italic} and highlighted as follows:
\begin{readmore}
Further information or pointers to files.
\end{readmore}
Note that pointers to Isabelle files are hyperlinked to the tip of the Mercurial
repository at \href{http://isabelle.in.tum.de/repos/isabelle/}
{http://isabelle.in.tum.de/repos/isabelle/}, not the latest stable release
of Isabelle.
A few exercises are scattered around the text. Their solutions are given
in Appendix~\ref{ch:solutions}. Of course, you learn most, if you first try
to solve the exercises on your own, and then look at the solutions.
*}
section {* How To Understand Isabelle Code *}
text {*
One of the more difficult aspects of any kind of programming is to
understand code written by somebody else. This is aggravated in Isabelle by
the fact that many parts of the code contain none or only few
comments. There is one strategy that might be helpful to navigate your way:
ML is an interactive programming environment, which means you can evaluate
code on the fly (for example inside an \isacommand{ML}~@{text
"\<verbopen>\<dots>\<verbclose>"} section). So you can copy (self-contained)
chunks of existing code into a separate theory file and then study it
alongside with examples. You can also install ``probes'' inside the copied
code without having to recompile the whole Isabelle distribution. Such
probes might be messages or printouts of variables (see chapter
\ref{chp:firststeps}). Although PolyML also contains a debugger, it seems
probing the code with explicit print statements is the most effective method
for understanding what some piece of code is doing. However do not expect
quick results with this! It is painful. Depending on the size of the code
you are looking at, you will spend the better part of a quiet afternoon with
it. And there seems to be no better way for understanding code in Isabelle.
*}
section {* Aaaaargh! My Code Does not Work Anymore *}
text {*
One unpleasant aspect of any code development inside a larger system is that
one has to aim at a ``moving target''. Isabelle is no exception of this. Every
update lets potentially all hell break loose, because other developers have
changed code you are relying on. Cursing is somewhat helpful in such situations,
but taking the view that incompatible code changes are a fact of life
might be more gratifying. Isabelle is a research project. In most circumstances
it is just impossible to make research backward compatible (imagine Darwin
attempting to make the Theory of Evolution backward compatible).
However, there are a few steps you can take to mitigate unwanted
interferences with code changes from other developers. First, you can base
your code on the latest stable release of Isabelle (it is aimed to have one
such release at least once every year). This might cut you off from the
latest feature implemented in Isabelle, but at least you do not have to
track side-steps or dead-ends in the Isabelle development. Of course this
means also you have to synchronise your code at the next stable release. If
you do not synchronise, be warned that code seems to ``rot'' very
quickly. Another possibility is to get your code into the Isabelle
distribution. For this you have to convince other developers that your code
or project is of general interest. If you managed to do this, then the
problem of the moving target goes away, because when checking in new code,
developers are strongly urged to test it against Isabelle's code base. If
your project is part of that code base, then maintenance is done by
others. Unfortunately, this might not be a helpful advice for all types of
projects. A lower threshold for inclusion has the Archive of Formal
Proofs, short AFP.\footnote{\url{http://afp.sourceforge.net/}} This archive
has been created mainly for formalisations that are interesting but not
necessarily of general interest. If you have ML-code as part of a
formalisation, then this might be the right place for you. There is no
problem with updating your code after submission. At the moment developers
are not as diligent with checking their code against the AFP than with
checking agains the distribution, but generally problems will be caught and
the developer, who caused them, is expected to fix them. So also in this
case code maintenance is done for you.
*}
section {* Some Naming Conventions in the Isabelle Sources *}
text {*
There are a few naming conventions in the Isabelle code that might aid reading
and writing code. (Remember that code is written once, but read many
times.) The most important conventions are:
\begin{itemize}
\item @{text t}, @{text u}, @{text trm} for (raw) terms; ML-type: @{ML_type term}
\item @{text ct}, @{text cu} for certified terms; ML-type: @{ML_type cterm}
\item @{text "ty"}, @{text T}, @{text U} for (raw) types; ML-type: @{ML_type typ}
\item @{text "S"} for sorts; ML-type: @{ML_type sort}
\item @{text th}, @{text thm} for theorems; ML-type: @{ML_type thm}
\item @{text "foo_tac"} for tactics; ML-type: @{ML_type tactic}
\item @{text thy} for theories; ML-type: @{ML_type theory}
\item @{text ctxt} for proof contexts; ML-type: @{ML_type Proof.context}
\item @{text lthy} for local theories; ML-type: @{ML_type local_theory}
\item @{text context} for generic contexts; ML-type @{ML_type Context.generic}
\item @{text mx} for mixfix syntax annotations; ML-type @{ML_type mixfix}
\item @{text prt} for pretty printing; ML-type @{ML_type Pretty.T}
\item @{text phi} for morphisms; ML-type @{ML_type morphism}
\end{itemize}
*}
section {* Acknowledgements *}
text {*
Financial support for this tutorial was provided by the German
Research Council (DFG) under grant number URB 165/5-1. The following
people contributed to the text:
\begin{itemize}
\item {\bf Stefan Berghofer} wrote nearly all of the ML-code of the
\simpleinductive-package and the code for the @{text
"chunk"}-antiquotation. He also wrote the first version of chapter
\ref{chp:package} describing this package and has been helpful \emph{beyond
measure} with answering questions about Isabelle.
\item {\bf Jasmin Blanchette} helped greatly with section \ref{sec:pretty}
and exercise \ref{fun:killqnt}.
\item {\bf Sascha Böhme} contributed the recipes in \ref{rec:timeout},
\ref{rec:external} and \ref{rec:oracle}. He also wrote section \ref{sec:conversion}
and helped with recipe \ref{rec:timing}. Parts of section \ref{sec:storing}
are by him.
\item {\bf Lukas Bulwahn} made me aware of a problem with recursive
parsers and contributed exercise \ref{ex:contextfree}.
\item {\bf Jeremy Dawson} wrote the first version of chapter \ref{chp:parsing}
about parsing.
\item {\bf Armin Heller} helped with recipe \ref{rec:sat}.
\item {\bf Alexander Krauss} wrote a very early version of the ``first-steps''
chapter and also contributed the material on @{ML_funct Named_Thms}.
\item {\bf Tobias Nipkow} contributed recipe \ref{rec:callml}.
\item {\bf Michael Norrish} proofread parts of the text.
\item {\bf Andreas Schropp} improved and corrected section \ref{sec:univ} and
contributed towards section \ref{sec:sorts}.
\item {\bf Christian Sternagel} proofread the tutorial and made
many improvemets to the text.
\end{itemize}
Please let me know of any omissions. Responsibility for any remaining
errors lies with me.\bigskip
\newpage
\mbox{}\\[5cm]
{\Large\bf
This tutorial is still in the process of being written! All of the
text is still under construction. Sections and
chapters that are under \underline{heavy} construction are marked
with TBD.}
\vfill
This document (version \input{tip}\hspace{-0.5ex}) was compiled with:\\
\input{version}\\
%%\input{pversion}
*}
end