Nominal/LF/index.html~
author Christian Urban <christian dot urban at kcl dot ac dot uk>
Wed, 30 Mar 2016 17:27:34 +0100
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<?xml version="1.0" encoding="utf-8"?>
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN">
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<html>
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<head>
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  <title>The Nominal Datatype Package</title>
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  <link rel="stylesheet" href="nominal.css">
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</head>
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<body>
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<h1>Mechanising the Metatheory of LF</h1>
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<h3>by Christian Urban, James Cheney and Stefan Berghofer</h3>
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<h4>Abstract</h4>
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  LF is a dependent type theory in which many other formal systems can
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  be conveniently embedded.  However, correct use of LF relies on
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  nontrivial metatheoretic developments such as proofs of correctness
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  of decision procedures for LF's judgments.  Although detailed
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  informal proofs of these properties have been published, they have
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  not been formally verified in a theorem prover. We have formalized 
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  these properties within Isabelle/HOL using
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  the Nominal Datatype Package, closely following a recent article by
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  Harper and Pfenning.  In the process, we identified and resolved a
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  gap in one of the proofs and a small number of minor lacunae
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  in others.  We also formally derive a version of the type checking 
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  algorithm from which Isabelle/HOL can generate executable code. 
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  Besides its intrinsic interest, our formalization
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  provides a foundation for studying the adequacy of LF encodings, the
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  correctness of Twelf-style metatheoretic reasoning, and the
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  metatheory of extensions to LF.<P>
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<b>Technical Report</b>
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<A HREF="http://www.onf.kcl.ac.uk/staff/urbanc/Nominal/LF/techreport.pdf">[pdf]</A><BR>  
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(This technical report contains in some sections more details of our development 
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than we presented in the LICS'08 paper, and also a new section on the
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locally nameless representation of binders and on code generation.)
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<p>
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<b>Nominal Isabelle Development</b>
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<p> (includes all three developments discussed in the technical report)
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<A HREF="http://www.onf.kcl.ac.uk/staff/urbanc/Nominal/LF/LF.tgz">[LF.tgz]</A>
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<p>
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<hr>
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<!-- hhmts start -->
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Last modified: Fri Oct 23 17:42:50 CEST 2009
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<!-- hhmts end -->
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<a href="http://validator.w3.org/check/referer">[Validate this page.]</a>
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</body>
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</html>
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