| author | Christian Urban <christian.urban@kcl.ac.uk> |
| Tue, 07 Jan 2025 12:42:42 +0000 | |
| changeset 653 | 2807ec31d144 |
| parent 465 | 4dac76eb27d9 |
| permissions | -rw-r--r-- |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<?xml version="1.0" encoding="utf-8"?> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<html> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<head> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<title>The Nominal Datatype Package</title> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<link rel="stylesheet" href="nominal.css"> |
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<BASE HREF="http://nms.kcl.ac.uk/christian.urban/Nominal"> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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</head> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<body> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<h1>Mechanising the Metatheory of LF</h1> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<h3>by Christian Urban, James Cheney and Stefan Berghofer</h3> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<h4>Abstract</h4> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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LF is a dependent type theory in which many other formal systems can |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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be conveniently embedded. However, correct use of LF relies on |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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nontrivial metatheoretic developments such as proofs of correctness |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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of decision procedures for LF's judgments. Although detailed |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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informal proofs of these properties have been published, they have |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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not been formally verified in a theorem prover. We have formalized |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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these properties within Isabelle/HOL using |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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the Nominal Datatype Package, closely following a recent article by |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Harper and Pfenning. In the process, we identified and resolved a |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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gap in one of the proofs and a small number of minor lacunae |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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in others. We also formally derive a version of the type checking |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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algorithm from which Isabelle/HOL can generate executable code. |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Besides its intrinsic interest, our formalization |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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provides a foundation for studying the adequacy of LF encodings, the |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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correctness of Twelf-style metatheoretic reasoning, and the |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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metatheory of extensions to LF.<P> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<b>Technical Report</b> |
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<A HREF="http://nms.kcl.ac.uk/christian.urban/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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Christian Urban <christian dot urban at kcl dot ac dot uk>
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than we presented in the LICS'08 paper, and also a new section on the |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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locally nameless representation of binders and on code generation.) |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<p> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<b>Nominal Isabelle Development</b> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<p> (includes all three developments discussed in the technical report) |
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<A HREF="http://nms.kcl.ac.uk/christian.urban/Nominal/LF/LF.tgz">[LF.tgz]</A> |
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<p> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<hr> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<!-- hhmts start --> |
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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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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Christian Urban <christian dot urban at kcl dot ac dot uk>
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</body> |
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</html> |
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