Quotient-Paper/document/root.tex
author Christian Urban <urbanc@in.tum.de>
Sat, 29 May 2010 00:16:39 +0200
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%\documentclass{svjour3}
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\documentclass{llncs}
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\usepackage{times}
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\usepackage{isabelle}
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\usepackage{isabellesym}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{pdfsetup}
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\urlstyle{rm}
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\isabellestyle{it}
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\renewcommand{\isastyle}{\isastyleminor}
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\begin{document}
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\title{Quotients Revisited for Isabelle/HOL}
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\author{Cezary Kaliszyk$^*$ and Christian Urban$^*$}
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\institute{$^*$ Technical University of Munich, Germany}
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\maketitle
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\begin{abstract}
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Higher-order logic (HOL) is based on a small logic kernel, whose 
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only mechanism for extension is the introduction of definitions 
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and types. Both extensions are often performed by 
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quotient constructions, for example finite sets are constructed by quotienting
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lists, or integers by quotienting pairs of natural numbers. To ease the work 
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involved with quotient construction, we re-implemented in Isabelle/HOL
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the quotient package by Homeier. In doing so we extended his work 
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in order to deal with compositions of quotients. Also, we designed
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our quotient package so that every step in a quotient construction 
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can be performed separately. 
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\end{abstract}
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% generated text of all theories
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\input{session}
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% optional bibliography
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\bibliographystyle{abbrv}
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\bibliography{root}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: t
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%%% End: