doc-src/Exercises/isabelle.sty

A new implementation for presburger arithmetic following the one suggested in technical report Chaieb Amine and Tobias Nipkow. It is generic an smaller.
the tactic has also changed and allows the abstaction over fuction occurences whose type is nat or int.

%%
%% Author: Markus Wenzel, TU Muenchen
%% License: GPL (GNU GENERAL PUBLIC LICENSE)
%%
%% macros for Isabelle generated LaTeX output
%%

%%% Simple document preparation (based on theory token language and symbols)

% isabelle environments

\newcommand{\isabellecontext}{UNKNOWN}

\newcommand{\isastyle}{\small\tt\slshape}
\newcommand{\isastyleminor}{\small\tt\slshape}
\newcommand{\isastylescript}{\footnotesize\tt\slshape}
\newcommand{\isastyletext}{\normalsize\rm}
\newcommand{\isastyletxt}{\rm}
\newcommand{\isastylecmt}{\rm}

%symbol markup -- \emph achieves decent spacing via italic corrections
\newcommand{\isamath}[1]{\emph{$#1$}}
\newcommand{\isatext}[1]{\emph{#1}}
\newcommand{\isascriptstyle}{\def\isamath##1{##1}\def\isatext##1{\mbox{\isastylescript##1}}}
\newcommand{\isactrlsub}[1]{\emph{\isascriptstyle${}\sb{#1}$}}
\newcommand{\isactrlsup}[1]{\emph{\isascriptstyle${}\sp{#1}$}}
\newcommand{\isactrlbold}[1]{{\bfseries\upshape\boldmath#1}}

\newdimen\isa@parindent\newdimen\isa@parskip

\newenvironment{isabellebody}{%
\isamarkuptrue\par%
\isa@parindent\parindent\parindent0pt%
\isa@parskip\parskip\parskip0pt%
\isastyle}{\par}

\newenvironment{isabelle}
{\begin{trivlist}\begin{isabellebody}\item\relax}
{\end{isabellebody}\end{trivlist}}

\newcommand{\isa}[1]{\emph{\isastyleminor #1}}

\newcommand{\isaindent}[1]{\hphantom{#1}}
\newcommand{\isanewline}{\mbox{}\\\mbox{}}
\newcommand{\isadigit}[1]{#1}

\chardef\isacharbang=`\!
\chardef\isachardoublequote=`\"
\chardef\isacharhash=`\#
\chardef\isachardollar=`\$
\chardef\isacharpercent=`\%
\chardef\isacharampersand=`\&
\chardef\isacharprime=`\'
\chardef\isacharparenleft=`\(
\chardef\isacharparenright=`\)
\chardef\isacharasterisk=`\*
\chardef\isacharplus=`\+
\chardef\isacharcomma=`\,
\chardef\isacharminus=`\-
\chardef\isachardot=`\.
\chardef\isacharslash=`\/
\chardef\isacharcolon=`\:
\chardef\isacharsemicolon=`\;
\chardef\isacharless=`\<
\chardef\isacharequal=`\=
\chardef\isachargreater=`\>
\chardef\isacharquery=`\?
\chardef\isacharat=`\@
\chardef\isacharbrackleft=`\[
\chardef\isacharbackslash=`\\
\chardef\isacharbrackright=`\]
\chardef\isacharcircum=`\^
\chardef\isacharunderscore=`\_
\chardef\isacharbackquote=`\`
\chardef\isacharbraceleft=`\{
\chardef\isacharbar=`\|
\chardef\isacharbraceright=`\}
\chardef\isachartilde=`\~


% keyword and section markup

\newcommand{\isakeywordcharunderscore}{\_}
\newcommand{\isakeyword}[1]
{\emph{\bf\def\isachardot{.}\def\isacharunderscore{\isakeywordcharunderscore}%
\def\isacharbraceleft{\{}\def\isacharbraceright{\}}#1}}
\newcommand{\isacommand}[1]{\isakeyword{#1}}

\newcommand{\isamarkupheader}[1]{\section{#1}}
\newcommand{\isamarkupchapter}[1]{\chapter{#1}}
\newcommand{\isamarkupsection}[1]{\section{#1}}
\newcommand{\isamarkupsubsection}[1]{\subsection{#1}}
\newcommand{\isamarkupsubsubsection}[1]{\subsubsection{#1}}
\newcommand{\isamarkupsect}[1]{\section{#1}}
\newcommand{\isamarkupsubsect}[1]{\subsection{#1}}
\newcommand{\isamarkupsubsubsect}[1]{\subsubsection{#1}}

\newif\ifisamarkup
\newcommand{\isabeginpar}{\par\ifisamarkup\relax\else\medskip\fi}
\newcommand{\isaendpar}{\par\medskip}
\newenvironment{isapar}{\parindent\isa@parindent\parskip\isa@parskip\isabeginpar}{\isaendpar}
\newenvironment{isamarkuptext}{\isastyletext\begin{isapar}}{\end{isapar}}
\newenvironment{isamarkuptxt}{\isastyletxt\begin{isapar}}{\end{isapar}}
\newcommand{\isamarkupcmt}[1]{{\isastylecmt--- #1}}


% alternative styles

\newcommand{\isabellestyle}{}
\def\isabellestyle#1{\csname isabellestyle#1\endcsname}

\newcommand{\isabellestylett}{%
\renewcommand{\isastyle}{\small\tt}%
\renewcommand{\isastyleminor}{\small\tt}%
\renewcommand{\isastylescript}{\footnotesize\tt}%
}
\newcommand{\isabellestyleit}{%
\renewcommand{\isastyle}{\small\it}%
\renewcommand{\isastyleminor}{\it}%
\renewcommand{\isastylescript}{\footnotesize\it}%
\renewcommand{\isakeywordcharunderscore}{\mbox{-}}%
\renewcommand{\isacharbang}{\isamath{!}}%
\renewcommand{\isachardoublequote}{}%
\renewcommand{\isacharhash}{\isamath{\#}}%
\renewcommand{\isachardollar}{\isamath{\$}}%
\renewcommand{\isacharpercent}{\isamath{\%}}%
\renewcommand{\isacharampersand}{\isamath{\&}}%
\renewcommand{\isacharprime}{\isamath{\mskip2mu{'}\mskip-2mu}}%
\renewcommand{\isacharparenleft}{\isamath{(}}%
\renewcommand{\isacharparenright}{\isamath{)}}%
\renewcommand{\isacharasterisk}{\isamath{*}}%
\renewcommand{\isacharplus}{\isamath{+}}%
\renewcommand{\isacharcomma}{\isamath{\mathord,}}%
\renewcommand{\isacharminus}{\isamath{-}}%
\renewcommand{\isachardot}{\isamath{\mathord.}}%
\renewcommand{\isacharslash}{\isamath{/}}%
\renewcommand{\isacharcolon}{\isamath{\mathord:}}%
\renewcommand{\isacharsemicolon}{\isamath{\mathord;}}%
\renewcommand{\isacharless}{\isamath{<}}%
\renewcommand{\isacharequal}{\isamath{=}}%
\renewcommand{\isachargreater}{\isamath{>}}%
\renewcommand{\isacharat}{\isamath{@}}%
\renewcommand{\isacharbrackleft}{\isamath{[}}%
\renewcommand{\isacharbrackright}{\isamath{]}}%
\renewcommand{\isacharunderscore}{\mbox{-}}%
\renewcommand{\isacharbraceleft}{\isamath{\{}}%
\renewcommand{\isacharbar}{\isamath{\mid}}%
\renewcommand{\isacharbraceright}{\isamath{\}}}%
\renewcommand{\isachartilde}{\isamath{{}\sp{\sim}}}%
}

\newcommand{\isabellestylesl}{%
\isabellestyleit%
\renewcommand{\isastyle}{\small\sl}%
\renewcommand{\isastyleminor}{\sl}%
\renewcommand{\isastylescript}{\footnotesize\sl}%
}