author | Christian Urban <christian dot urban at kcl dot ac dot uk> |
Sun, 30 Dec 2012 21:18:39 +0000 | |
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permissions | -rw-r--r-- |
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\documentclass[10pt, conference, compsocconf]{IEEEtran} |
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\usepackage{isabelle} |
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\usepackage{isabellesym} |
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\usepackage{times} |
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\usepackage{amssymb} |
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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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% 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: |