author | Christian Urban <urbanc@in.tum.de> |
Fri, 19 Mar 2010 09:40:34 +0100 | |
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permissions | -rw-r--r-- |
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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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\usepackage{ot1patch} |
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\urlstyle{rm} |
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\isabellestyle{it} |
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\DeclareRobustCommand{\flqq}{\mbox{\guillemotleft}} |
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\DeclareRobustCommand{\frqq}{\mbox{\guillemotright}} |
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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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\newcommand{\LET}{\;\mathtt{let}\;} |
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\newcommand{\IN}{\;\mathtt{in}\;} |
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\newcommand{\END}{\;\mathtt{end}\;} |
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\newcommand{\AND}{\;\mathtt{and}\;} |
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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 involving bound variables that have names (as |
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opposed to de-Bruijn indices). In this paper we present an extension of |
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Nominal Isabelle in order to deal with general binding structures. Such |
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binding structures are ubiquitous in programming language research and only |
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very poorly supported with single binders, such as the lambdas in the |
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lambda-calculus. For our extension we introduce novel definitions of |
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alpha-equivalence and establish automatically the reasoning infrastructure for |
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alpha-equated terms. This includes strong induction principles that have the |
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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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