doc-src/IsarAdvanced/Functions/functions.tex

added an intro lemma for freshness of products; set up
the simplifier so that it can deal with the compact and
long notation for freshness constraints (FIXME: it should
also be able to deal with the special case of freshness
of atoms)

%% $Id$

\documentclass[12pt,a4paper,fleqn]{report}
\usepackage{latexsym,graphicx}
\usepackage{listings}
\usepackage[refpage]{nomencl}
\usepackage{../../iman,../../extra,../../isar,../../proof}
\usepackage{Thy/document/isabelle,Thy/document/isabellesym}
\usepackage{style}
\usepackage{Thy/document/pdfsetup}

\newcommand{\cmd}[1]{\isacommand{#1}}

\newcommand{\isasymINFIX}{\cmd{infix}}
\newcommand{\isasymLOCALE}{\cmd{locale}}
\newcommand{\isasymINCLUDES}{\cmd{includes}}
\newcommand{\isasymDATATYPE}{\cmd{datatype}}
\newcommand{\isasymAXCLASS}{\cmd{axclass}}
\newcommand{\isasymFIXES}{\cmd{fixes}}
\newcommand{\isasymASSUMES}{\cmd{assumes}}
\newcommand{\isasymDEFINES}{\cmd{defines}}
\newcommand{\isasymNOTES}{\cmd{notes}}
\newcommand{\isasymSHOWS}{\cmd{shows}}
\newcommand{\isasymCLASS}{\cmd{class}}
\newcommand{\isasymINSTANCE}{\cmd{instance}}
\newcommand{\isasymLEMMA}{\cmd{lemma}}
\newcommand{\isasymPROOF}{\cmd{proof}}
\newcommand{\isasymQED}{\cmd{qed}}
\newcommand{\isasymFIX}{\cmd{fix}}
\newcommand{\isasymASSUME}{\cmd{assume}}
\newcommand{\isasymSHOW}{\cmd{show}}
\newcommand{\isasymNOTE}{\cmd{note}}
\newcommand{\isasymIN}{\cmd{in}}
\newcommand{\isasymCODEGEN}{\cmd{code\_gen}}
\newcommand{\isasymPRINTCODETHMS}{\cmd{print\_codethms}}
\newcommand{\isasymFUN}{\cmd{fun}}
\newcommand{\isasymFUNCTION}{\cmd{function}}
\newcommand{\isasymPRIMREC}{\cmd{primrec}}
\newcommand{\isasymRECDEF}{\cmd{recdef}}

\newcommand{\qt}[1]{``#1''}
\newcommand{\qtt}[1]{"{}{#1}"{}}
\newcommand{\qn}[1]{\emph{#1}}
\newcommand{\strong}[1]{{\bfseries #1}}
\newcommand{\fixme}[1][!]{\strong{FIXME: #1}}

\lstset{basicstyle=\scriptsize\ttfamily, keywordstyle=\itshape, commentstyle=\itshape\sffamily, frame=shadowbox}
\newcommand{\lstsml}[1]{\lstset{language=ML}\lstinputlisting{#1}}
\newcommand{\lsthaskell}[1]{\lstset{language=Haskell}\lstinputlisting{#1}}

\hyphenation{Isabelle}
\hyphenation{Isar}

\isadroptag{theory}
\title{\includegraphics[scale=0.5]{isabelle_isar}
  \\[4ex] Defining Recursive Functions in Isabelle/HOL}
\author{\emph{Alexander Krauss}}


\isabellestyle{tt}

\begin{document}

\maketitle

\begin{abstract}
  This tutorial describes the use of the new \emph{function} package,
  starting with very simple examples and the proceeding to the more
  intricate ones. No familiarity with other definition facilities is
  assumed.
\end{abstract}

\thispagestyle{empty}\clearpage

\pagenumbering{roman}
\clearfirst

\input{Thy/document/Functions.tex}

\begingroup
%\tocentry{\bibname}
\bibliographystyle{plain} \small\raggedright\frenchspacing
\bibliography{../../manual}
\endgroup

\end{document}


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