document/root.tex
author Christian Urban <christian dot urban at kcl dot ac dot uk>
Sun, 30 Dec 2012 14:58:48 +0000
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\documentclass[10pt, conference, compsocconf]{IEEEtran}
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\usepackage{isabelle,isabellesym}
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%\usepackage{amssymb}
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  %for \<leadsto>, \<box>, \<diamond>, \<sqsupset>, \<mho>, \<Join>,
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  %\<lhd>, \<lesssim>, \<greatersim>, \<lessapprox>, \<greaterapprox>,
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  %\<triangleq>, \<yen>, \<lozenge>
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%\usepackage[greek,english]{babel}
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  %option greek for \<euro>
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  %option english (default language) for \<guillemotleft>, \<guillemotright>
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%\usepackage[only,bigsqcap]{stmaryrd}
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  %for \<Sqinter>
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%\usepackage{eufrak}
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  %for \<AA> ... \<ZZ>, \<aa> ... \<zz> (also included in amssymb)
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%\usepackage{textcomp}
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  %for \<onequarter>, \<onehalf>, \<threequarters>, \<degree>, \<cent>,
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  %\<currency>
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% this should be the last package used
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\usepackage{mathpartir}
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\usepackage{pdfsetup}
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% urls in roman style, theory text in math-similar italics
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\urlstyle{rm}
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\isabellestyle{it}
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% for uniform font size
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%\renewcommand{\isastyle}{\isastyleminor}
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\begin{document}
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\title{A Formalised Theory of Turing Machines in Isabelle/HOL}
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\author{
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\IEEEauthorblockN{Xu Jian, Xingyuan Zhang}
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\IEEEauthorblockA{PLA University of Science and Technology Nanjing, China}
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\and
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\IEEEauthorblockN{Christian Urban}
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\IEEEauthorblockA{King's College London, UK}
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}
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\maketitle
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\begin{abstract}
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Isabelle/HOL is an interactive theorem prover based on classical 
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logic. While classical reasoning allow users to take convenient 
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shortcuts in some proofs, it precludes \emph{direct} reasoning about 
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decidability: every boolean predicate is either true or false
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because of the law of excluded middle. The only way to reason
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about decidability in a classical theorem prover, like Isabelle/HOL,
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is to formalise a concrete model for computation. In this paper
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we formalise Turing machines and relate them to register machines.
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\end{abstract}
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\begin{IEEEkeywords}
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Turing Machines, Decidability, Isabelle/HOL;
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\end{IEEEkeywords}
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\IEEEpeerreviewmaketitle
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%\tableofcontents
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% sane default for proof documents
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\parindent 0pt\parskip 0.5ex
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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: