\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: