diff -r fb201e383f1b -r da575186d492 Quotient-Paper-jv/document/root.tex --- a/Quotient-Paper-jv/document/root.tex Tue Feb 19 05:38:46 2013 +0000 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,70 +0,0 @@ -\documentclass{svjour3} -\usepackage{amsmath} -\usepackage{amssymb} -\usepackage{isabelle} -\usepackage{isabellesym} -\usepackage{tikz} -\usepackage{verbdef} -\usepackage{mathpartir} -\usepackage{pdfsetup} -\usepackage{times} -\usepackage{stmaryrd} - -\urlstyle{rm} -\isabellestyle{it} -\renewcommand{\isastyleminor}{\it}% -\renewcommand{\isastyle}{\normalsize\it}% -\renewcommand{\isastylescript}{\it} -\def\dn{\,\triangleq\,} -\verbdef\singlearr|---->| -\verbdef\doublearr|===>| -\verbdef\tripple|###| - -\renewcommand{\isasymequiv}{$\triangleq$} -\renewcommand{\isasymemptyset}{$\varnothing$} -\renewcommand{\isasymUnion}{$\bigcup$} -\renewcommand{\isacharunderscore}{\text{$\_\!\_$}} - -\newcommand{\isasymsinglearr}{$\mapsto$} -\newcommand{\isasymdoublearr}{$\Mapsto$} -\newcommand{\isasymtripple}{\tripple} - -\newcommand{\numbered}[1]{\refstepcounter{equation}{\rm(\arabic{equation})}\label{#1}} - -\begin{document} - -\title{Quotients Revisited for Isabelle/HOL} -\author{Cezary Kaliszyk \and Christian Urban} -\institute{C.~Kaliszyk \at University of Innsbruck, Austria - \and C.~Urban \at King's College London, UK} -\date{Received: date / Accepted: date} - -\maketitle - -\begin{abstract} -Higher-Order Logic (HOL) is based on a small logic kernel, whose only -mechanism for extension is the introduction of safe definitions and of -non-empty types. Both extensions are often performed in quotient -constructions. To ease the work involved with such quotient -constructions, we re-implemented in the Isabelle/HOL theorem prover -the quotient package by Homeier. In doing so we extended his work in -order to deal with compositions of quotients and also specified -completely the procedure of lifting theorems from the raw level to the -quotient level. The importance for theorem proving is that many -formal verifications, in order to be feasible, require a convenient -reasoning infrastructure for quotient constructions. -\end{abstract} - -%\keywords{Quotients, Isabelle theorem prover, Higher-Order Logic} - -\bibliographystyle{abbrv} -\input{session} - - - -\end{document} - -%%% Local Variables: -%%% mode: latex -%%% TeX-master: t -%%% End: