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