| author | Christian Urban <christian dot urban at kcl dot ac dot uk> |
| Sat, 05 Jan 2013 00:31:43 +0000 | |
| changeset 14 | b92529dc95c5 |
| parent 8 | c216ae455c90 |
| child 15 | 90bc8cccc218 |
| 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: |