diff -r 419116f1157a -r e23770bc97c8 doc-src/AxClass/axclass.tex --- a/doc-src/AxClass/axclass.tex Thu Feb 26 08:44:44 2009 -0800 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,80 +0,0 @@ - -\documentclass[12pt,a4paper,fleqn]{report} -\usepackage{graphicx,../iman,../extra,../isar} -\usepackage{../isabelle,../isabellesym} -\usepackage{../pdfsetup} % last one! - -\isabellestyle{it} -\newcommand{\isasyminv}{\isamath{{}^{-1}}} -\renewcommand{\isasymzero}{\isamath{0}} -\renewcommand{\isasymone}{\isamath{1}} - -\newcommand{\secref}[1]{\S\ref{#1}} -\newcommand{\figref}[1]{figure~\ref{#1}} - -\hyphenation{Isabelle} -\hyphenation{Isar} -\hyphenation{Haskell} - -\title{\includegraphics[scale=0.5]{isabelle_isar} - \\[4ex] Using Axiomatic Type Classes in Isabelle} -\author{\emph{Markus Wenzel} \\ TU M\"unchen} - - -\setcounter{secnumdepth}{2} \setcounter{tocdepth}{2} - -\pagestyle{headings} -\sloppy -\binperiod %%%treat . like a binary operator - - -\begin{document} - -\underscoreoff - -\maketitle - -\begin{abstract} - Isabelle offers order-sorted type classes on top of the simple types of - plain Higher-Order Logic. The resulting type system is similar to that of - the programming language Haskell. Its interpretation within the logic - enables further application, though, apart from restricting polymorphism - syntactically. In particular, the concept of \emph{Axiomatic Type Classes} - provides a useful light-weight mechanism for hierarchically-structured - abstract theories. Subsequently, we demonstrate typical uses of Isabelle's - axiomatic type classes to model basic algebraic structures. - - This document describes axiomatic type classes using Isabelle/Isar theories, - with proofs expressed via Isar proof language elements. The new theory - format greatly simplifies the arrangement of the overall development, since - definitions and proofs may be freely intermixed. Users who prefer tactic - scripts over structured proofs do not need to fall back on separate ML - scripts, though, but may refer to Isar's tactic emulation commands. -\end{abstract} - - -\pagenumbering{roman} \tableofcontents \clearfirst - -\include{body} - -%FIXME -\nocite{nipkow-types93} -\nocite{nipkow-sorts93} -\nocite{Wenzel:1997:TPHOL} -\nocite{paulson-isa-book} -\nocite{isabelle-isar-ref} -\nocite{Wenzel:1999:TPHOL} - -\begingroup - \bibliographystyle{plain} \small\raggedright\frenchspacing - \bibliography{../manual} -\endgroup - -\end{document} - - -%%% Local Variables: -%%% mode: latex -%%% TeX-master: t -%%% End: -% LocalWords: Isabelle FIXME