| author | Christian Urban <urbanc@in.tum.de> |
| Tue, 03 Apr 2012 23:09:13 +0100 | |
| changeset 3151 | 16e6140225af |
| parent 3136 | d003938cc952 |
| permissions | -rw-r--r-- |
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\documentclass{svjour3}
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\usepackage{amsmath}
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\usepackage{amssymb}
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\usepackage{isabelle}
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\usepackage{isabellesym}
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\usepackage{tikz}
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\usepackage{verbdef}
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\usepackage{mathpartir}
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\usepackage{pdfsetup}
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\usepackage{times}
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\usepackage{stmaryrd}
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\urlstyle{rm}
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\isabellestyle{it}
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\renewcommand{\isastyleminor}{\it}%
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\renewcommand{\isastyle}{\normalsize\it}%
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\renewcommand{\isastylescript}{\it}
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\def\dn{\,\triangleq\,}
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\verbdef\singlearr|---->| |
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\verbdef\doublearr|===>| |
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\verbdef\tripple|###| |
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\renewcommand{\isasymequiv}{$\triangleq$}
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\renewcommand{\isasymemptyset}{$\varnothing$}
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\renewcommand{\isasymUnion}{$\bigcup$}
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\renewcommand{\isacharunderscore}{\text{$\_\!\_$}}
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\newcommand{\isasymsinglearr}{$\mapsto$}
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\newcommand{\isasymdoublearr}{$\Mapsto$}
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\newcommand{\isasymtripple}{\tripple}
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\newcommand{\numbered}[1]{\refstepcounter{equation}{\rm(\arabic{equation})}\label{#1}}
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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{C.~Kaliszyk \at University of Innsbruck, Austria
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\and C.~Urban \at King's College London, UK} |
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\date{Received: date / Accepted: date}
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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 only |
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mechanism for extension is the introduction of safe definitions and of |
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non-empty types. Both extensions are often performed in quotient |
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constructions. To ease the work involved with such quotient |
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constructions, we re-implemented in the Isabelle/HOL theorem prover |
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the quotient package by Homeier. In doing so we extended his work in |
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order to deal with compositions of quotients and also specified |
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completely the procedure of lifting theorems from the raw level to the |
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quotient level. The importance for theorem proving is that many |
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formal verifications, in order to be feasible, require a convenient |
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reasoning infrastructure for quotient constructions. |
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\end{abstract}
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%\keywords{Quotients, Isabelle theorem prover, Higher-Order Logic}
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\bibliographystyle{abbrv}
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\input{session}
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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: |