Nominal/users.html
author Christian Urban <christian.urban@kcl.ac.uk>
Mon, 20 Mar 2023 12:01:08 +0000
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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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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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<ul>
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<li>
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<A HREF="http://www.it.uu.se/katalog/jesperb/" target="_top">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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Christian Urban <christian dot urban at kcl dot ac dot uk>
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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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Christian Urban <christian dot urban at kcl dot ac dot uk>
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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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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Jesper 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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All formalisations are part of the <A HREF="http://afp.sourceforge.net/">AFP</A>.
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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.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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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.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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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Ayesha Yasmeen, a student of  
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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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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<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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Christian Urban <christian dot urban at kcl dot ac dot uk>
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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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Christian Urban <christian dot urban at kcl dot ac dot uk>
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Armin Heller finished his master thesis at the TU Munich in 2010 with a simple compiler verification
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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using Nominal Isabelle.
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<li>
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<A HREF="http://homepages.inf.ed.ac.uk/jcheney/" target="_top">James Cheney</A> 
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formalised a number of properties of the meta-theory of mini-XQuery in Nominal Isabelle.
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The plan is to extend this work to full XQuery. The preliminary results appeared at CPP'11.
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<li>
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<A HREF="http://cl-informatik.uibk.ac.at/users/cek/" target="_top">Cezary Kaliszyk</A> 
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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with input from Henk Barendregt formalised the second fixed point theorem
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Christian Urban <christian dot urban at kcl dot ac dot uk>
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of the lambda calculus using Nominal Isabelle 2. This work appeared at CPP'11.
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Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   130
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   131
<li>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   132
<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
   133
used Nominal2 for formalising Launchbury's natural semantics for lazy evaluation. This is part
627
5b12ae98430c updated
Christian Urban <christian.urban@kcl.ac.uk>
parents: 625
diff changeset
   134
of the <A HREF="http://afp.sourceforge.net/entries/Launchbury.shtml">AFP</A>. (Archive of Formal Proofs)
402
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   135
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   136
<li>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   137
<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
   138
formalised G&ouml;del's Incompletness Theorems using Nominal2. This work
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   139
appeared in the Journal of Automated Reasoning in 2015.
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   140
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   141
<li>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   142
<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
   143
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
   144
This work appeared at the
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   145
<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
   146
</ul>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   147
</P>
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
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   150
<B>References</B><BR><BR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   151
<CENTER>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   152
<TABLE>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   153
<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
   154
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   155
    <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
   156
      Journal of Automatic Reasoning, Vol. 40(4), 327-356, 2008.
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   157
      [<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
   158
      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
   159
      <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
   160
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   161
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   162
<TR><TD VALIGN=Top>[2]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   163
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   164
    <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
   165
    (Christian Urban and Michael Norrish) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   166
    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
   167
    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
   168
    [<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
   169
    [<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
   170
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   171
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   172
<TR><TD VALIGN=Top>[3]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   173
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   174
    <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
   175
    (Christian Urban and Stefan Berghofer) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   176
    Proceedings of the 3rd 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   177
    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
   178
    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
   179
    &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
   180
    [<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
   181
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   182
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   183
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   184
<TR><TD VALIGN=Top>[4]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   185
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   186
    <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
   187
    (Stefan Berghofer and Christian Urban) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   188
    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
   189
    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
   190
    [<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
   191
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   192
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   193
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   194
<TR><TD VALIGN=Top>[5]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   195
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   196
    <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
   197
    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
   198
    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
   199
    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
   200
    &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
   201
    target="_top">Springer Verlag</A> 
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   202
    [<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
   203
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   204
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   205
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   206
<TR><TD VALIGN=Top>[6]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   207
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   208
    <B>Mechanising the Metatheory of LF.</B> 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   209
    (Christian Urban, James Cheney and Stefan Berghofer) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   210
    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
   211
    Pages 45-56, 2008.
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   212
    [<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
   213
      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
   214
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   215
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   216
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   217
<TR><TD VALIGN=Top>[7]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   218
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   219
    <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
   220
    (Brian Huffman and Christian Urban) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   221
    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
   222
    Lecture Notes in Computer Science, Pages 35-50, 2010.
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   223
    [<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
   224
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   225
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   226
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   227
<TR><TD VALIGN=Top>[8]</TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   228
    <TD ALIGN=Left>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   229
    <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
   230
      (Christian Urban and Cezary Kaliszyk) 
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   231
      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
   232
      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
   233
      [<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
   234
      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
   235
      Science, Volume 8 (2:14), 2012 
465
4dac76eb27d9 updated
Christian Urban <urbanc@in.tum.de>
parents: 420
diff changeset
   236
      [<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
   237
    </TD>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   238
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   239
</TR>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   240
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   241
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   242
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   243
</TABLE>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   244
</CENTER>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   245
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   246
<P>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   247
<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
   248
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   249
</body>
9e089afe5086 added Nominal
Christian Urban <christian dot urban at kcl dot ac dot uk>
parents:
diff changeset
   250
</html>