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2 <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"> |
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4 <head> |
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5 <title>The Nominal Datatype Package</title> |
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6 <link rel="stylesheet" href="nominal.css"> |
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7 </head> |
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8 |
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9 <body> |
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10 <h1>Mechanising the Metatheory of LF</h1> |
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11 |
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12 <h3>by Christian Urban, James Cheney and Stefan Berghofer</h3> |
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13 |
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14 <h4>Abstract</h4> |
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15 |
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16 LF is a dependent type theory in which many other formal systems can |
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17 be conveniently embedded. However, correct use of LF relies on |
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18 nontrivial metatheoretic developments such as proofs of correctness |
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19 of decision procedures for LF's judgments. Although detailed |
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20 informal proofs of these properties have been published, they have |
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21 not been formally verified in a theorem prover. We have formalized |
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22 these properties within Isabelle/HOL using |
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23 the Nominal Datatype Package, closely following a recent article by |
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24 Harper and Pfenning. In the process, we identified and resolved a |
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25 gap in one of the proofs and a small number of minor lacunae |
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26 in others. We also formally derive a version of the type checking |
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27 algorithm from which Isabelle/HOL can generate executable code. |
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28 Besides its intrinsic interest, our formalization |
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29 provides a foundation for studying the adequacy of LF encodings, the |
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30 correctness of Twelf-style metatheoretic reasoning, and the |
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31 metatheory of extensions to LF.<P> |
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32 |
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33 <b>Technical Report</b> |
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34 <A HREF="http://www.onf.kcl.ac.uk/staff/urbanc/Nominal/LF/techreport.pdf">[pdf]</A><BR> |
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35 (This technical report contains in some sections more details of our development |
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36 than we presented in the LICS'08 paper, and also a new section on the |
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37 locally nameless representation of binders and on code generation.) |
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38 <p> |
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39 |
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40 <b>Nominal Isabelle Development</b> |
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41 <p> (includes all three developments discussed in the technical report) |
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42 <A HREF="http://www.onf.kcl.ac.uk/staff/urbanc/Nominal/LF/LF.tgz">[LF.tgz]</A> |
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43 <p> |
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44 <hr> |
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45 <!-- hhmts start --> |
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46 Last modified: Fri Oct 23 17:42:50 CEST 2009 |
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52 </html> |
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