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<TITLE> Christian Urban </TITLE>
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<TABLE WIDTH="100%" 
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<TR>
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    WIDTH="24%" 
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    ROWSPAN="17">
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<B>Links</B><BR>
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<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/">Home</A><BR>
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<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/publications.html">Publications</A><BR>
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<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/teaching.html">Teaching</A><BR>
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<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/travelling.html">Recent Talks</A><BR>
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<A HREF="http://isabelle.in.tum.de/nominal/">My Research Group</A>
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<BR>
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<BR>
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<B>Handy Information</B><BR>
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<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/logic.html">People in Logic</A><BR> 
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<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/programming.html">Programming Languages</A><BR> 
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<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/misc.html">Miscellaneous</A>
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<BR><BR>
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<A HREF="http://isabelle.in.tum.de/nominal/">
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<IMG SRC="nominal-logo.gif" ALT="" style="border-width: 0px;" align="left">
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</A>
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">
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<h2>Publications</h2>
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<FONT COLOR="#800000"><B>Warning:</B></FONT> 
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Currently not all papers are available from this page. 
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Please email me for copies of the papers you cannot find.    
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</TD>
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">
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<H3>Pending</H3>
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<p><B>Mechanizing the Metatheory of Mini-XQuery.</B> 
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     (with Cheney) To appear at CPP 2011. 
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     [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/cpp-11.pdf">pdf</A>]     
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<p><B>A Formalisation of the Myhill-Nerode Theorem based on Regular Expressions.</B> 
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      (with Wu and Zhang) Journal version. Submitted.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/rexp.pdf">pdf</A>]
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<p><B>General Bindings and Alpha-Equivalence in Nominal Isabelle.</B> 
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      (with Kaliszyk) Journal version. Submitted.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/lmcs.pdf">pdf</A>]
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<p><B>How to Prove False using the Variable Convention.</B> 
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     Appears as a poster at TTVSI, 1 page. 
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     [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/mike-poster-abstract-08.pdf">pdf</A>]
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     [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/mike-poster-08.pdf">poster</A>]
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<p><B>Strong Induction Principles in the Locally Nameless 
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      Representation of Binders (Preliminary Notes).</B> (with Pollack) A shorter version 
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      of this paper was accepted at WMM'07. 
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/ln.pdf">pdf</A>]
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</TD>
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<H3>2011</H3>
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<p><B>General Bindings and Alpha-Equivalence in Nominal Isabelle.</B> 
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      (with Kaliszyk) 
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      In Proceedings of the 20th European Symposium on Programming (ESOP 2011).
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      In Volume 6602 of Lecture Notes in Computer Science. Pages 480-500.
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      &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t6602.htm">Springer Verlag</A>
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/esop-11.pdf">pdf</A>]
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<p><B>A Formalisation of the Myhill-Nerode Theorem based on Regular Expressions (Proof
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      Pearl).</B> 
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      (with Wu and Zhang) 
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      In Proceedings of the 2nd Conference on Interactive Theorem Proving (ITP 2011).
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      In Volume 6898 of Lecture Notes in Computer Science. Pages 341-356.
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      &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t6898.htm">Springer Verlag</A>
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/itp-11.pdf">pdf</A>]
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<p><B>Quotients Revisited for Isabelle/HOL.</B> 
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      (with Kaliszyk) In Proceedings of the ACM Symposium on Applied
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      Computing (SAC 2011), Software Verification and Testing track,
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      Pages 1639-1644.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/sac-11.pdf">pdf</A>]
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</TD>
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<TD BGCOLOR="FFFFFF" WIDTH="75%">
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<H3>2010</H3>
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<p><B>Proof Pearl: A New Foundation for Nominal Isabelle.</B> (with Huffman) 
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      In Proceedings of the 1st Conference on Interactive Theorem Proving (ITP 2010).
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      In Volume 6172 of Lecture Notes in Computer Science. Pages 35-50.
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      &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t6172.htm">Springer Verlag</A>
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/nominal-atoms.pdf">pdf</A>]
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<p><B>Mechanizing the Metatheory of LF.</B> (with Cheney and Berghofer) 
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      In <A HREF="http://doi.acm.org/10.1145/1877714.1877721">
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      ACM Transactions on Computational Logic</A>, Vol 12(2), Pages 15:1 - 15:42, 2011. 
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      [<A HREF="http://isabelle.in.tum.de/nominal/LF/">technical report</A>] 
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<p><B>Nominal Unification Revisited.</B> 
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      (invited paper) In Proceedings of the 24th Workshop on Unification (UNIF 2010).
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      In Volume 42 of Electronic Proceedings in Theoretical Computer Science. Pages 1-11, 2010.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/univ-10.pdf">pdf</A>]
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<H3>2009</H3>
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<p><B>Nominal Formalisations of Typical SOS Proofs.</B> 
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     (with Narboux) In Proceedings of the 3rd Workshop on Logical and Semantic 
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     Frameworks with Applications (LFSA'08). Electronic
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     Notes in Theoretical Computer Science, 247, Pages 139-155, 2009.  
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     [<A HREF="http://isabelle.in.tum.de/nominal/manual/SOS.pdf">pdf</A>]. 
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<p><B>Proceedings of Theorem Proving in Higher Order Logics (TPHOLs'09).</B> 
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     (with Berghofer, Nipkow and Wenzel) Volume 5674 of Lecture Notes in
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      Computer Science, 2009.  
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      &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t5674.htm">Springer Verlag</A>
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<p><B>Nominal Verification of W.</B> (with Nipkow)
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      From Semantics to Computer Science, Essays in Honour of Gilles Kahn, 
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      edited by Bertot, Huet, Levy and Plotkin. Cambridge
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      University Press, 2009. Pages 363-382.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/w-07.pdf">pdf</A>] 
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</TD>
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</TR>
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<TR>
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<TD BGCOLOR="FFFFFF" WIDTH="75%">
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<H3>2008</H3>
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<p><B>Mechanizing the Metatheory of LF.</B> (with Cheney and Berghofer) In Proceedings of the
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      23rd IEEE Symposium on Logic in Computer Science (LICS 2008), IEEE Computer Society,
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      June 2008. Pages 45-56.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/lics-08.pdf">pdf</A>] More
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      information is <A HREF="http://isabelle.in.tum.de/nominal/LF/index.html">elsewhere</A>.
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<p><B>Nominal Inversion Principles.</B> (with Berghofer) 
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      In Proceedings of 21st International Conference on Theorem Proving in
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      Higher Order Logics (TPHOLs'08). In Volume 5170 of Lecture Notes in
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      Computer Science. Pages 71-85.
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      &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t5170.htm">Springer Verlag</A>
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/tphols-08.pdf">pdf</A>]<BR><BR>
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      (Note that the proof in figure 3 is chosen as an illustrative example to
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      show how to use inversion principles (the main topic of the paper). If one
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      does the induction on the beta-reduction relation, instead of the typing
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      relation, then the proof is almost trivial and can be found automatically
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      by Isabelle only using some very standard inversion principles for the
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      typing relation.)
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<p><B>Mechanising a Proof of Craig's Interpolation Theorem for Intuitionistic Logic in 
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      Nominal Isabelle.</B> (with Chapman and McKinna) 
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      In Proceedings of 9th International Conference on Artificial Intelligence
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      and Symbolic Computation (AISC'08). In Volume 5144 of Lecture Notes in
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      Artificial Intelligene. Pages 38-52.
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      &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t5144.htm">Springer Verlag</A>
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<p><B>Revisiting Cut-Elimination: One Difficult Proof is Really a Proof.</B> (with Zhu) 
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      In Proceedings of the 19th International Conference on Rewriting Techniques
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      and Applications (RTA 2008). In Volume 5117 of Lecture Notes in Computer Science.
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      Pages 409-424. 
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      &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t5117.htm">Springer Verlag</A>
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/rta-08.pdf">pdf</A>]<BR><BR>
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      (This paper corrects some lemmas in my PhD-thesis. The errors were found by formalising
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       the proof in Nominal Isabelle.)		  
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</TD>
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</TR>
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<TR>
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<H3>2007</H3>
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<p><B>Barendregt's Variable Convention in Rule Inductions.</B>
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      (with Berghofer and Norrish) In Proceedings of the 21th 
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      Conference on Automated Deduction (CADE 2007). In volume 4603 
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      of Lecture Notes in Artificial Intelligence. Bremen, Germany. 
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      July 2007. Pages 35-50.
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      &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t4603.htm">Springer Verlag</A>
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      <BR><BR>This paper supersedes the MERLIN-paper from 2005.
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<p><B>Nominal Techniques in Isabelle/HOL.</B> In
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      Journal of Automatic Reasoning, 2008, Vol. 40(4), 327-356.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/nom-tech.ps">ps</A>]  
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/nom-tech.pdf">pdf</A>]
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<p><B>Formalising in Nominal Isabelle Crary's Completeness Proof for Equivalence Checking.</B> 
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      (with Narboux) In Proceedings of the International Workshop on Logical Frameworks and 
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      Meta-Languages: Theory and Practice (LFMTP 2007). Electronic Notes in
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      Theoretical Computer Science. Vol. 196. Pages 3-18.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/lfmtp-07.pdf">pdf</A>]<BR><BR>
2
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      (There is a minor problem in the statement on page 4 where we write that alpha-renamings
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      are required in order to show the equivalence of Q-Beta and Q-Beta': While the equivalence 
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      can be proved using alpha-renamings, it can also be proved by a careful analysis of the 
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      available freshness-constraints.)			
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<p><B>Nominal Logic Programming.</B> (with Cheney)
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      In <A HREF="http://dl.acm.org/citation.cfm?id=1387675">
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      ACM Transactions on Programming Languages and Systems</A>, 
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      2008, Vol. 30(5), Article 26, pages 1-47.
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</TD>
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</TR>
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<TR>
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<TD BGCOLOR="FFFFFF" WIDTH="75%">
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<H3>2006</H3>
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<p><B>Proof Theory of Classical Propositional Calculus.</B> 
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     (with Hyland, Bellin and Robinson) In Theoretical Computer 
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     Science 2006. Vol. 364(2). Pages 143-170.
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     [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/class-tcs.ps">ps</A>] 
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<p><B>A Recursion Combinator for Nominal Datatypes 
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      Implemented in Isabelle/HOL.</B> (with Berghofer) In Proceedings of the 3rd 
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      International Joint Conference on Automated Deduction (IJCAR 2006). 
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      Seattle, USA. In volume 4130 of Lecture Notes in Artificial Intelligence. 
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      Pages 498-512.
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    &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t4130.htm">Springer Verlag</A>
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    [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/ijcar-06.ps">ps</A>]
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<p><B>Classical Logic is better than Intuitionistic Logic:
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      A Conjecture about Double-Negation Translations.</B> (with Ratiu) In Proceedings
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      of the 1st International Workshop on Classical Logic and Computation (CL & C 2006). 
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      Venice, Italy. 20pp.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/clc-06.ps">ps</A>]
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<p><B>A Head-to-Head Comparison of de Bruijn Indices and Names.</B> (with Berghofer) 
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      In Proceedings of the International Workshop on Logical Frameworks and 
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      Meta-Languages: Theory and Practice (LFMTP 2006). Electronic Notes in
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      Theoretical Computer Science. Vol. 174(5). Pages 53-67.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/lfmtp-06.ps">ps</A>]
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</TD>
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</TR>
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<TR>
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<TD BGCOLOR="FFFFFF" WIDTH="75%">
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<H3>2005</H3>
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<p><B>A Formal Treatment of the Barendregt Variable Convention in Rule Inductions.</B> (with Norrish) 
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      In Proceedings of the ACM Workshop on Mechanized Reasoning about Languages with Variable
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      Binding and Names (MERLIN 2005). Tallinn, Estonia. September 2005. Pages 25-32. &copy ACM, Inc.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/merlin-05.ps">ps</A>]
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/merlin-05.pdf">pdf</A>]
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<p>
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      (There was a small typo in the definition of permutation equality, which has been corrected
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      in the versions above. This paper received favourable comments on the 
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      <A HREF="http://cs.nyu.edu/pipermail/fom/2005-December/009495.html">FOM</A> mailing-list.)
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<p><B>Nominal Techniques in Isabelle/HOL.</B> (with Tasson) In Proceedings of the 20th 
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      Conference on Automated Deduction (CADE 2005). In volume 3632 of Lecture Notes in Artificial
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      Intelligence. Tallinn, Estonia. July 2005. Pages 38-53.
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    &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t3632.htm">Springer Verlag</A>
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    [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/nom-cade-05.ps">ps</A>]
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<p><B>Avoiding Equivariance in Alpha-Prolog.</B> (with Cheney) In Proceedings of the 7th
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      International Conference on Typed Lambda Calculi and Applications (TLCA 2005). 
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      In Volume 3461 of Lecture Notes in Computer Science. Nara, Japan. April 2005. Pages 401-416.
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    &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t3461.htm">Springer Verlag</A>
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</TD>
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</TR>
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<TD BGCOLOR="FFFFFF" WIDTH="75%">
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<H3>2004</H3>
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<p><B>Nominal Unification.</B> (with Pitts and Gabbay) In Theoretical Computer Science
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      2004. Vol. 323(1-3). Pages 473-497.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/nomu-tcs.ps">ps</A>]
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<p><B>Nominal Techniques for Reasoning about Formal Languages.</B> Reader for an advanced 
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      course at the ESSLLI summer school. 26 Pages. Appeared as LORIA technical report.
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<p><B>Alpha-Prolog: A Logic Programming Language with Names, Binding and Alpha-Equivalence.</B> 
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      (with Cheney) In Proceedings of the International Conference on Logic Programming
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      (ICLP 2004).  In Volume 3132 of Lecture Notes in Computer Science. St-Malo, France. 
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      September 2004. Pages 269-283. 
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    &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t3132.htm">Springer Verlag</A>
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</TD>
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">
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<H3>2003</H3>
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<p><B>Nominal Unification.</B> (with Pitts and Gabbay) 
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      In Proceedings of the Computer Science Logic and 8th Kurt G&ouml;del Colloquium
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      (CSL & KGC 2003).  In Volume 2803 of Lecture Notes in Computer Science. Vienna, Austria. 
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      August 2003. Pages 513-527.
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   &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t2803.htm">Springer Verlag</A>
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<p><B>System Description: Alpha-Prolog, a Fresh Approach to Logic Programming Modulo 
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      Alpha-Equivalence.</B> (with Cheney) In Proceedings of the 17th International Workshop on
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      Unification, UNIF'03. Valencia, Spain. June 2003. Technical Report
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      DSIC-II/12/03, Departamento de Sistemas Informaticos y Computacion,
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      Universidad Politecnica de Valencia, 2003. Pages 15-19.
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<p><B>Work in Progress: Logic Programming with Names and Binding.</B> (with Cheney) 
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      CoLogNet Newsletter No. 4, 2003. Pages 25-28. 
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</TD>
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<TR>
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<TD BGCOLOR="#FFFFFF"  WIDTH="75%">
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<H3>2002</H3>
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<p><B>Strong Normalisation of Herbelin's Explicit Substitution Calculus with 
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      Substitution Propagation.</B> 
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      (with Dyckhoff) Journal of Logic and Computation, Volume 13, No 5, Pages 689-706.
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/jlc-03.pdf">pdf</A>]
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<p><B>Revisiting Zucker's Work on the Correspondence Between Cut-Elimination and 
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      Normalisation.</B>  Accepted for publication in the proceedings of the natural deduction meeting in 
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      Rio de Janeiro (will appear in the Advances in Natural Deduction volume published by Kluwer).-->
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</TD>
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</TR>
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<TR>
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">
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<H3>2001</H3>
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<p><B>Strong Normalisation of Cut-Elimination in Classical Logic.</B> (with Bierman) 
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      Fundamenta Informaticae, 45(1-2), January 2001, Pages 123-155. 
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      [<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/fi-01.ps.gz">ps.gz</A>]
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<p><B>Strong Normalisation of Herbelin's Explicit Substitution Calculus with 
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      Substitution Propagation.</B> (with Dyckhoff) In Proceedings of the 4th 
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      Workshop on Explicit Substitutions Theory and Applications (WESTAPP'01).
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      Logic Group Preprint series No 210. Utrecht, the Netherlands. May 2001. Pages 26-45.
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<p><B>Strong Normalisation for a Gentzen-like Cut-Elimination Procedure.</B> 
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      In Proceedings of the 5th International Conference on Typed Lambda Calculi and 
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      Applications (TLCA 2001). In Volume 2044 of Lecture Notes in
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      Computer Science. Krakow, Poland. May 2001. Pages 415-429.
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    &copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t2044.htm">Springer Verlag</A>
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</TD>
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</TR>
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<TR>
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<TD BGCOLOR="FFFFFF" WIDTH="75%">
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<H3>2000</H3>
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<p><B>Classical Logic and Computation.</B>  
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Ph.D. Thesis, University of Cambridge. Supervised by Dr Gavin Bierman. October 2000.
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Some details are <A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/PhD/">elsewhere</A>. 
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</TD>
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</TR>
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<TR>
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<TD BGCOLOR="FFFFFF" WIDTH="75%">
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<H3>1999</H3>
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<p><B> Strong Normalisation of Cut-Elimination in Classical Logic.</B>
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(with Bierman) In Proceedings of the 5th International Conference on Typed
f329c1f3b365 initial real
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Lambda Calculi and Applications (TLCA 1999). In Volume 1581 of Lecture Notes in
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Computer Science. L'Aquila, Italy. April 1999. Pages 365-380. 
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&copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t1581.htm">Springer Verlag</A>
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[<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/tlca-99.pdf">pdf</A>]
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</TD>
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<TR>
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<TD  BGCOLOR="FFFFFF" WIDTH="75%">
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<H3>1998</H3>
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<p><B> Implementation of Proof Search in the Imperative Programming Language Pizza.</B>
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In Proceedings of the 7th International Conference on Automated Reasoning with
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Analytic Tableaux and Related Methods (TABELAUX 1998). In Volume 1397 of Lecture Notes in
f329c1f3b365 initial real
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Artificial Intelligence. Oisterwijk, the Netherlands. May 1998. Pages 313-319.
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&copy <A HREF="http://link.springer.de/link/service/series/0558/tocs/t1397.htm">Springer Verlag</A>
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[<A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/Publications/tableaux-98.ps.gz">ps.gz</A>]
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</TD>
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</TR>
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<TR>
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<TD  BGCOLOR="FFFFFF" WIDTH="75%">
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<H3>1996</H3>
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<p><B> Forum and Its Implementation.</B>
f329c1f3b365 initial real
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M.Phil. Thesis, University of St Andrews. Supervised by Dr Roy Dyckhoff. April 1996.
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</TD>
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</TR>
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</TABLE>
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<a href="http://validator.w3.org/check/referer">[Validate this page.]</a>
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