Paper/document/root.tex
author Christian Urban <urbanc@in.tum.de>
Thu, 18 Mar 2010 16:22:10 +0100
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corrected the strong induction principle in the lambda-calculus case; gave a second (oartial) version that is more elegant
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\documentclass{acmconf}
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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{tikz}
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\usepackage{pgf}
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\usepackage{pdfsetup}
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\urlstyle{rm}
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\isabellestyle{it}
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\renewcommand{\isacharunderscore}{\mbox{$\_\!\_$}}
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\renewcommand{\isasymbullet}{{\raisebox{-0.4mm}{\Large$\boldsymbol{\cdot}$}}}
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\def\dn{\,\stackrel{\mbox{\scriptsize def}}{=}\,}
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\renewcommand{\isasymequiv}{$\dn$}
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\renewcommand{\isasymiota}{}
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\renewcommand{\isasymemptyset}{$\varnothing$}
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%----------------- theorem definitions ----------
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\newtheorem{property}{Property}[section]
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\newtheorem{Theorem}{Theorem}[section]
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\newtheorem{Definition}[Theorem]{Definition}
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\newtheorem{Example}{\it Example}[section]
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%-------------------- environment definitions -----------------
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\newenvironment{example}[0]{\begin{Example} \it}{\end{Example}}
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\newenvironment{proof-of}[1]{{\em Proof of #1:}}{}
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\begin{document}
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\title{\LARGE\bf General Binding Structures in Nominal Isabelle,\\ or How to
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  Formalise Core-Haskell}
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\maketitle
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\maketitle
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\begin{abstract} 
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Nominal Isabelle is a definitional extension of the Isabelle/HOL theorem
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prover. It provides a proving infrastructure for convenient reasoning about
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programming language calculi. In this paper we present an extension of Nominal
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Isabelle for dealing with general binding structures. Such binding structures are
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ubiquitous in programming language research and only very poorly handled by
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single binding from the lambda-calculus. We give in this
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paper novel definitions for alpha-equivalence and establish automatically the
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reasoning structure for alpha-equated terms. For example we provide a strong
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induction principle that has the variable convention already built in.
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\end{abstract}
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\input{session}
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\bibliographystyle{plain}
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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: