Pearl-jv/document/root.tex
author Christian Urban <urbanc@in.tum.de>
Mon, 28 Feb 2011 16:47:13 +0000
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\documentclass{svjour3}
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\usepackage{times}
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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{longtable}
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\usepackage{pdfsetup}
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\urlstyle{rm}
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\isabellestyle{it}
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\renewcommand{\isastyle}{\isastyleminor}
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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{\isasymrightleftharpoons}{}
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\renewcommand{\isasymemptyset}{$\varnothing$}
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\newcommand{\numbered}[1]{\refstepcounter{equation}{\rm(\arabic{equation})}\label{#1}}
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\begin{document}
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\title{Implementing the Nominal Logic Work in Isabelle/HOL}
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\author{Christian Urban \and Brian Huffman}
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\institute{C.~Urban \at Technical University of Munich 
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     \and  B.~Huffman \at Portland State University}
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\date{Received: date / Accepted: date}
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\maketitle
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\begin{abstract}
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Pitts et al introduced a beautiful theory about names and binding based on the
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notions of atoms, permutations and support. The engineering challenge is to
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smoothly adapt this theory to a theorem prover environment, in our case
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Isabelle/HOL. For this we have to make the theory compatible with choice
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principles, which the work by Pitts is not.  We present a formalisation of
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this work that is based on a unified atom type and that represents
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permutations by bijective functions from atoms to atoms. Interestingly, we
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allow swappings, which are permutations build from two atoms, to be
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ill-sorted.  We extend the nominal logic work with a formalisation of an
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abstraction operator that binds sets of names.
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\end{abstract}
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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: