Nominal/users.html
author Christian Urban <christian.urban@kcl.ac.uk>
Tue, 18 Apr 2023 15:39:24 +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>Nominal Methods Group</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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<div align="right" style="position:relative; left:15%; width:80%">
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<P>
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<small>
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<SCRIPT LANGUAGE="JAVASCRIPT" type="text/javascript">
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<!--
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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var r_text = new Array ();
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r_text[0] = "<em>\"Proving theorems about substitutions (and related operations such as alpha-conversion) required far more time and HOL code than any other variety of theorem.\"<br><\/em>M. VanInwegen using a concrete representation for binders in her PhD-thesis, 1996";
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r_text[1] = "<em>\"When doing the formalization, I discovered that the core part of the proof... is fairly straightforward and only requires a good understanding of the paper version. However, in completing the proof I observed that in certain places I had to invest much more work than expected, e.g. proving lemmas about substitution and weakening.\"<\/em><br>T. Altenkirch using de Bruijn indices in Proc. of TLCA, 1993";
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r_text[2] = "<em>\"Technical work, however, still represents the biggest part of our implementation, mainly due to the managing of de Bruijn indexes...Of our 800 proved lemmas, about 600 are concerned with operators on free names.\"<\/em><br>D. Hirschkoff in Proc. of TPHOLs, 1997";
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r_text[3] = "<em>\"It took the author many long months to complete the work on this formalization...The part concerning substitution is by far the largest part of the whole development.\"<\/em><br>A. Koprowski using de Bruijn indices in a draft paper, 2006";
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r_text[4] = "<em>\"We thank T. Thacher Robinson for showing us on August 19, 1962 by a counterexample the existence of an error in our handling of bound variables.\"<\/em><br>S. Kleene in J. of Symbolic Logic 27(1):11-18, 1962";
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r_text[5] = "<em>\"The main drawback in HOAS is the difficulty of dealing with metatheoretic issues concerning names in processes...As a consequence, some metatheoretic properties involving substitution and freshness of names inside proofs and processes cannot be proved inside the framework and instead have to be postulated.\"<\/em><br>F. Honsell, M. Miculan and I. Scagnetto in Theoretical Computer Science, 253(2):239-285, 2001";
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r_text[6] = "<em>\"Because Twelf metatheorems are proved using totality assertions about LF type families, the class of metatheorems that can be mechanized is restricted to All/Exists-statements over LF types. On the one hand, as the successful Twelf formalizations cited in Section 5 demonstrate, these All/Exists-statements have proved to be sufficient for formalizing a wide variety of metatheorems about programming languages and logics. On the other hand, we have no way to quantify when metatheorems of this form will be sufficient, and there are some well-known examples of proofs that cannot be formalized directly using Twelf as metatheorem language. For example, proofs by logical relations often require more quantifier complexity than All/Exists-statements afford.\"<\/em><br>Robert Harper and Daniel Licata in a paper on Twelf, 2007";
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r_text[7] = "<em>\"So we cannot, hand-on-heart, recommend the vanilla LN style for anything but small, kernel language developments. \"<\/em><br>in F-ing Modules by Rossberg, Russo and Dreyer, TLDI 2010";
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r_text[8] = "<em>\"Higher-order abstract syntax is a convenient way to approach languages with binding, but it is possible to imagine a problem where manipulating a fully concrete object without binding is simpler. In these cases, it is possible to establish a bijection between your HOAS terms and de Bruijn versions of the same terms. \"<\/em><br>Interesting responses from the <A HREF=\"http://twelf.plparty.org/wiki/Ask_Twelf_Elf\">Twelf wiki.</A> (To be honest, the same comment applies to Nominal. --cu)";
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r_text[9] = "<em>\"I wonder if de Bruijn was any good at remembering names. \"<\/em><br>Darius Jahandarie according to Haskell Digest, Vol 97, Issue 1";
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var i = Math.floor(r_text.length * Math.random());
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document.write(r_text[i]);
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//-->
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</SCRIPT>
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</small>
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</P>
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</div>
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<H1>Users of Nominal Isabelle</H1>
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<P>
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If you want to see a simple example illustrating our results on Nominal Isabelle click
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<A HREF="example.html">here</A>. For more interesting results, we already
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completed formalisations of Church-Rosser and strong-normalisation proofs as
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well as the first part of the <A
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HREF="https://www.seas.upenn.edu/~plclub/poplmark/" target="_top">PoplMark
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Challenge</A>.  We also formalised some typical proofs from SOS, <A
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HREF="http://www.cs.cmu.edu/~crary/" target="_top">Karl Crary</A>'s chapter on
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logical relations from <A
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HREF="http://www.cis.upenn.edu/~bcpierce/attapl/index.html"
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target="_top">Advanced Topics in Types and Programming Languages</A>, and also
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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a paper on LF by <A HREF="http://www.cs.cmu.edu/~rwh/" target="_top">Harper</A> and 
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<A HREF="http://www.cs.cmu.edu/~fp/" target="_top">Pfenning</A>. In the latter paper we found a gap in
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the soundness proof and corrected it (we actually gave three solutions to the problem [6]). Urban 
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formalised and also corrected the main result of his PhD, a logical relation argument for
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establishing strong normalisation of cut-elimination in classical logic. Other
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people have used Nominal Isabelle too:
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<H3>PhD Theses using Nominal Isabelle</H3>
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<ul>
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<li>
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<A HREF="http://www.itu.dk/people/jebe/">Jesper Bengtson</A> (now a professor at ITU in Copenhagen)   
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finished his PhD about this in 2010 with a large formalisation in Nominal Isabelle. 
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He also formalised CCS (<a href="http://afp.sourceforge.net/entries/CCS.shtml">here</a>). 
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</li>
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</ul>
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<H3>Journal and Conference Papers using Nominal Isabelle</H3>
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<ul>
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<li>
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<A HREF="http://www.itu.dk/people/jebe/">Jesper Bengtson</A>
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and <A HREF="http://user.it.uu.se/~joachim/" target="_top">Joachim Parrow</A>
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used Nominal Isabelle to verify the theory of the
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pi-calculus. They formalised the proof that bisimulation is a congruence (both
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for late and early operational semantics) available 
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<a href="http://afp.sourceforge.net/entries/Pi_Calculus.shtml">here</a>.  Moreover they formalised the proof
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that all late bisimilar processes are early bisimilar. The corresponding
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papers were presented at FOSSACS'07 and SOS'07. They also used Nominal Isabelle
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to formalise their work on Psi-calculi, available 
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<a href="http://afp.sourceforge.net/entries/Psi_Calculi.shtml">here</a>. This was 
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presented at LICS 2009 and LICS 2010.
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All formalisations are part of the <A HREF="http://afp.sourceforge.net/">AFP</A>.
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<li>
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<A HREF="http://www.ccs.neu.edu/home/samth/" target="_top">Sam Tobin-Hochstadt</A>, a student
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of <A HREF="http://www.ccs.neu.edu/home/matthias/" target="_top">Matthias Felleisen</A>, used 
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Nominal Isabelle to formalise their work on Typed Scheme. This was presented at POPL'08. 
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<li>
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<A HREF="http://homepages.inf.ed.ac.uk/ldixon/" target="_top">Lucas Dixon</A>,
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Alan Smaill and <A HREF="http://homepages.inf.ed.ac.uk/bundy/"
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target="_top">Alan Bundy</A> used Nominal Isabelle to formalise
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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proof terms of ILL and studied proof planning with this formalisation
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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(EDI-INF-RR-0786). 
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<li>
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<A HREF="http://www.cs.swan.ac.uk/~csteme/" target="_top">Temesghen Kahsai</A>
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and <A HREF="http://users.dimi.uniud.it/~marino.miculan/" target="_top">Marino Miculan</A> formalised
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the spi-calculus using our work - see 
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<A HREF="http://www.cs.swan.ac.uk/~csteme/SpiInIsabelle/SpiInIsabelle.html" target="_top">here</A>.
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<li>
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Ayesha Yasmeen, a student of  
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<A HREF="http://www-faculty.cs.uiuc.edu/~egunter/" target="_top">Elsa Gunter</A>,
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formalised an extension of the ambient calculus using Nominal Isabelle. This
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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was presented in the Emerging Trends section of TPHOLs'08. 
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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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<li>
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<A HREF="http://www.ps.uni-saarland.de/~doczkal/" target="_top">Christian Doczkal</A>,
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a student of <A HREF="http://www.ps.uni-saarland.de/~smolka/">Gert Smolka</A>, 
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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finished in 2009 his 
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<A HREF="http://www.ps.uni-saarland.de/~doczkal/master/master.php" target="_top">master thesis</A> 
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at Saarbr&uuml;cken University using 
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Nominal Isabelle. He formalised the TT-lifting technique in order to prove 
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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strong normalisation of Moggi's computational metalanguage. This is part of
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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the <A HREF="http://afp.sourceforge.net/entries/Lam-ml-Normalization.shtml">AFP repository</A>.
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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<li>
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   131
Armin Heller finished his master thesis at the TU Munich in 2010 with a simple compiler verification
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   132
using Nominal Isabelle.
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   133
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   134
<li>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   135
<A HREF="http://homepages.inf.ed.ac.uk/jcheney/" target="_top">James Cheney</A> 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   136
formalised a number of properties of the meta-theory of mini-XQuery in Nominal Isabelle.
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   137
The plan is to extend this work to full XQuery. The preliminary results appeared at CPP'11.
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   138
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   139
<li>
410
d765ecc5b2df updated
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents: 409
diff changeset
   140
<A HREF="http://cl-informatik.uibk.ac.at/users/cek/" target="_top">Cezary Kaliszyk</A> 
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   141
with input from Henk Barendregt formalised the second fixed point theorem
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   142
of the lambda calculus using Nominal Isabelle 2. This work appeared at CPP'11.
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   143
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   144
<li>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   145
<A HREF="http://www.joachim-breitner.de/blog/" target="_top">Joachim Breitner</A> 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   146
used Nominal2 for formalising Launchbury's natural semantics for lazy evaluation. This is part
628
d09365eee0e3 updated
Christian Urban <christian.urban@kcl.ac.uk>
parents: 627
diff changeset
   147
of the <A HREF="http://afp.sourceforge.net/entries/Launchbury.shtml">AFP</A>. 
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   148
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   149
<li>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   150
<A HREF="http://www.cl.cam.ac.uk/~lp15/" target="_top">Larry Paulson</A> 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   151
formalised G&ouml;del's Incompletness Theorems using Nominal2. This work
628
d09365eee0e3 updated
Christian Urban <christian.urban@kcl.ac.uk>
parents: 627
diff changeset
   152
appeared in the Journal of Automated Reasoning in 2015 and is part of the
d09365eee0e3 updated
Christian Urban <christian.urban@kcl.ac.uk>
parents: 627
diff changeset
   153
<A HREF="https://www.isa-afp.org/browser_info/current/AFP/Incompleteness/SyntaxN.html">AFP</A>.
d09365eee0e3 updated
Christian Urban <christian.urban@kcl.ac.uk>
parents: 627
diff changeset
   154
d09365eee0e3 updated
Christian Urban <christian.urban@kcl.ac.uk>
parents: 627
diff changeset
   155
<li>
d09365eee0e3 updated
Christian Urban <christian.urban@kcl.ac.uk>
parents: 627
diff changeset
   156
<A HREF="http://www.cl.cam.ac.uk/~lp15/" target="_top">Larry Paulson</A> 
d09365eee0e3 updated
Christian Urban <christian.urban@kcl.ac.uk>
parents: 627
diff changeset
   157
formalised a second Part of G&ouml;del's Incompletness Theorems using Nominal2. This is part of the
d09365eee0e3 updated
Christian Urban <christian.urban@kcl.ac.uk>
parents: 627
diff changeset
   158
<A HREF="https://www.isa-afp.org/browser_info/current/AFP/Goedel_HFSet_Semanticless/SyntaxN.html">AFP</A>.
d09365eee0e3 updated
Christian Urban <christian.urban@kcl.ac.uk>
parents: 627
diff changeset
   159
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   160
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   161
<li>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   162
<A HREF="http://www.joachim-breitner.de/blog/" target="_top">Joachim Breitner</A>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   163
proved the correctness of a GHC compiler transformation using Nominal2.
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   164
This work appeared at the
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   165
<A HREF="https://www.haskell.org/haskell-symposium/2015/">Haskell Symposium 2015</A>.
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   166
</ul>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   167
</P>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   168
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   169
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   170
<B>References</B><BR><BR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   171
<CENTER>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   172
<TABLE>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   173
<TR><TD WIDTH="7%" VALIGN=Top>[1]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   174
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   175
    <B>Nominal Reasoning Techniques in Isabelle/HOL.</B>  In
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   176
      Journal of Automatic Reasoning, Vol. 40(4), 327-356, 2008.
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   177
      [<A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/nom-tech.pdf" target="_top">pdf</A>].
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   178
      The predecessor paper, which appeaerd at CADE in 2005, received the
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   179
      <A HREF="http://www.cadeinc.org/SkolemAward.html">Thoralf Skolem Award</A>.
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   180
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   181
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   182
<TR><TD VALIGN=Top>[2]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   183
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   184
    <B>A Formal Treatment of the Barendregt Variable Convention in Rule Inductions</B> 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   185
    (Christian Urban and Michael Norrish) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   186
    Proceedings of the ACM Workshop on Mechanized Reasoning about Languages with Variable
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   187
    Binding and Names (MERLIN 2005), Pages 25-32, 2005. &copy ACM, Inc.
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   188
    [<A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/merlin-05.ps" target="_top">ps</A>]
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   189
    [<A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/merlin-05.pdf" target="_top">pdf</A>]
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   190
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   191
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   192
<TR><TD VALIGN=Top>[3]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   193
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   194
    <B>A Recursion Combinator for Nominal Datatypes Implemented in Isabelle/HOL</B> 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   195
    (Christian Urban and Stefan Berghofer) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   196
    Proceedings of the 3rd 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   197
    International Joint Conference on Automated Deduction (IJCAR 2006). In volume 4130 of 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   198
    Lecture Notes in Artificial Intelligence, Pages 498-512, 2006.
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   199
    &copy <A HREF="http://link.springer.de/link/service/series/0558/" target="_top">Springer Verlag</A>
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   200
    [<A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/ijcar-06.ps" target="_top">ps</A>]
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   201
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   202
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   203
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   204
<TR><TD VALIGN=Top>[4]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   205
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   206
    <B>A Head-to-Head Comparison of de Bruijn Indices and Names.</B> 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   207
    (Stefan Berghofer and Christian Urban) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   208
    Proceedings of the International Workshop on Logical Frameworks and 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   209
    Meta-Languages: Theory and Practice (LFMTP 2006), ENTCS, Pages 53-67, 2006.
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   210
    [<A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/lfmtp-06.ps" target="_top">ps</A>]
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   211
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   212
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   213
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   214
<TR><TD VALIGN=Top>[5]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   215
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   216
    <B>Barendregt's Variable Convention in Rule Inductions.</B> (Christian
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   217
    Urban, Stefan Berghofer and Michael Norrish) Proceedings of the 21th
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   218
    Conference on Automated Deduction (CADE 2007). In volume 4603 of Lecture
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   219
    Notes in Artificial Intelligence, Pages 35-50, 2007.
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   220
    &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t4603.htm" 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   221
    target="_top">Springer Verlag</A> 
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   222
    [<A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/cade07.ps" target="_top">ps</A>]
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   223
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   224
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   225
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   226
<TR><TD VALIGN=Top>[6]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   227
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   228
    <B>Mechanising the Metatheory of LF.</B> 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   229
    (Christian Urban, James Cheney and Stefan Berghofer) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   230
    In Proc. of the 23rd IEEE Symposium on Logic in Computer Science (LICS 2008), IEEE Computer Society,
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   231
    Pages 45-56, 2008.
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   232
    [<A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/lics-08.pdf">pdf</A>] More
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   233
      information <A HREF="http://nms.kcl.ac.uk/christian.urban/Nominal/LF/index.html">elsewhere</A>.
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   234
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   235
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   236
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   237
<TR><TD VALIGN=Top>[7]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   238
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   239
    <B>Proof Pearl: A New Foundation for Nominal Isabelle.</B> 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   240
    (Brian Huffman and Christian Urban) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   241
    In Proc. of the 1st Conference on Interactive Theorem Proving (ITP 2010). In volume 6172 in 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   242
    Lecture Notes in Computer Science, Pages 35-50, 2010.
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   243
    [<A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/nominal-atoms.pdf">pdf</A>] 
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   244
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   245
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   246
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   247
<TR><TD VALIGN=Top>[8]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   248
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   249
    <B>General Bindings and Alpha-Equivalence in Nominal Isabelle.</B> 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   250
      (Christian Urban and Cezary Kaliszyk) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   251
      In Proc. of the 20th European Symposium on Programming (ESOP 2011).
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   252
      In Volume 6602 of Lecture Notes in Computer Science, Pages 480-500, 2011.
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   253
      [<A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/esop-11.pdf">pdf</A>] (and a
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   254
      longer version appeared in the Journal of Logical Methods in Computer 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   255
      Science, Volume 8 (2:14), 2012 
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   256
      [<A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/lmcs.pdf">pdf</A>])
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   257
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   258
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   259
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   260
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   261
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   262
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   263
</TABLE>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   264
</CENTER>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   265
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   266
<P>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   267
<a href="http://validator.w3.org/check/referer" target="_top">[Validate this page.]</a>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   268
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   269
</body>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   270
</html>