| author | Christian Urban <christian dot urban at kcl dot ac dot uk> | 
| Wed, 30 Mar 2016 20:15:00 +0100 | |
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<B>Links</B><BR>  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/index.html">Home</A><BR>  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/publications.html">Publications</A><BR>  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/teaching.html">Teaching</A><BR>  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/travelling.html">Recent Talks</A><BR>  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Nominal/">Nominal Isabelle</A>  | 
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<B>Handy Information</B><BR>  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/logic.html">People in Logic</A><BR>  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/programming.html">Programming Languages</A><BR>  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/misc.html">Miscellaneous</A>  | 
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<A HREF="http://http://www.inf.kcl.ac.uk/staff/urbanc/Nominal/">  | 
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<IMG SRC="nominal-logo.gif" ALT="" style="border-width: 0px;" align="left"></A>  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Cookbook/">  | 
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<IMG SRC="Cookbook/logo-documentation.gif" ALT="" style="border-width: 0px;" align="left"></A>  | 
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<H1>Christian Urban</H1>  | 
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<B>E-mail</B>  | 
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christian.urban <I>at</I> kcl ac uk<BR>  | 
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<BR>  | 
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<B>Address</B>  | 
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<A HREF="http://www.inf.kcl.ac.uk">Department of Informatics</A>,  | 
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<A HREF="http://www.kcl.ac.uk">King's College London</A>,  | 
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Strand, London WC2R 2LS, UK. My office is S1.27 on the 1st floor of the Strand Building.  | 
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<TD align="right" valign="top">  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/picture-small.jpg"><IMG ALT="" SRC="picture-small.jpg" align="top"></A>  | 
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<IMG SRC="new.gif" ALT="" style="" align="left"><A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Cookbook" target="_top">Isabelle Programming Tutorial</A> (draft of a 200-page tutorial on Isabelle programming)<BR><BR>  | 
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">  | 
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<B>Current Position</B>  | 
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I am a lecturer in the Department of Informatics at King's College London.  | 
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This is similar to a position of an assistant professor in other places. In 2011,  | 
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I was also offered a lectureship  | 
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<A HREF="http://www.it.uu.se/" TITLE="Uppsala">here</A>, an associate professorship  | 
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<A HREF="http://www.itu.dk/en/" TITLE="ITU, Copenhagen">here</A>,  | 
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and full professorships  | 
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<A HREF="http://www.ustcsz.edu.cn/kedweb/" TITLE="IAS, Suzhou">here</A> and  | 
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<A HREF="http://202.120.81.220/index.aspx" TITLE="Shanghai">here</A>.  | 
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I thank all people involved for their efforts.  | 
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<B>Past Positions</B>  | 
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In April 2006, I was awarded an <A HREF="http://en.wikipedia.org/wiki/Emmy_Noether">Emmy-Noether</A>  | 
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<A HREF="http://www.dfg.de/en/research_funding/programmes/individual/emmy_noether/in_brief/index.html">fellowship</A>, which I held at the <A HREF="http://www.in.tum.de/en.html">TU Munich</A> until  | 
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September 2011.  | 
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Between September 2008 and February 2009, I was an invited research scientist in  | 
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the <A HREF="http://www.cs.princeton.edu/">Department of Computer Science</A> in Princeton.  | 
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In 2004/05 I was an Alexander-von-Humboldt fellow in Munich and  | 
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from 2000 until 2004 I was awarded a Research Fellowship in Cambridge. Before that  | 
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I did my PhD in Cambridge funded by two scholarships from the German Academic Exchange  | 
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Service (<A HREF="http://www.daad.de/index.html">DAAD</A>).  | 
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<B>Skolem Award 2015</B> Together with  | 
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<A HREF="http://www.pps.univ-paris-diderot.fr/~tasson/">Christine Tasson</A>, I was awarded a  | 
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<A HREF="http://www.cadeinc.org/SkolemAward.html">Thoralf Skolem Award</A>, a ten-year  | 
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test-of-time award from CADE, for our  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Publications/nom-cade-05.ps">paper</A>  | 
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on Nominal Techniques in Isabelle/HOL from 2005.  | 
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<P>  | 
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<B>Research Interests</B> theorem provers, verification, programming languages, compilers,  | 
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algorithms, proof theory, type systems, concurrency, lambda calculus, unification,  | 
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regular expressions, computability, complexity, functional and logic programming.  | 
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<P>  | 
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<B>Teaching</B> I usually enjoy teaching. At King's my students nominated me for the Teaching  | 
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Excellence Award in  | 
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2012 and 2015, and for the best MSc Project supervisor in 2015.  | 
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In 2014 I received both prizes for Best UG Project Supervisor and for Best  | 
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MSc Project Supervisor in the <A HREF="http://www.kcl.ac.uk/nms/index.aspx">NMS Faculty<A>.<P>  | 
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<B>Conferences</B>  | 
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UNIF'06 (member of PC),  | 
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<A HREF="http://www.cs.mcgill.ca/~bpientka/lfmtp07">LFMTP'07</A> (member of PC),  | 
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<A HREF="http://http://www.inf.kcl.ac.uk/staff/urbanc/Nominal/activities/lfmtp08/">LFMTP'08</A> (PC co-chair),  | 
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<A HREF="http://www.cis.upenn.edu/~sweirich/wmm/">WMM'08</A> (member of PC),  | 
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<A HREF="http://www.mat.ufmg.br/lsfa2008/">LSFA'08</A> (invited speaker),  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/maribel/TAASN.html">TAASN'09</A> (member of PC),  | 
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<A HREF="http://lsfa09.cic.unb.br/">LSFA'09</A> (member of PC),  | 
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<A HREF="http://http://www.inf.kcl.ac.uk/staff/urbanc/Nominal/activities/tphols09/idw.html">IDW'09</A> (organiser),  | 
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<A HREF="http://www.seas.upenn.edu/~sweirich/wmm/wmm09.html">WMM'09</A> (PC chair),  | 
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<A HREF="https://http://www.inf.kcl.ac.uk/staff/urbanc/Nominal/activities/tphols09/">TPHOLs'09</A> (PC co-chair),  | 
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<A HREF="http://dream.inf.ed.ac.uk/events/automatheo-2010/">Automatheo'10</A> (member of PC),  | 
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<A HREF="http://www.floc-conference.org/">ITP'10</A> (member of PC),  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/maribel/UNIF/UNIF.html">UNIF'10</A> (invited speaker),  | 
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<A HREF="http://www.cis.upenn.edu/~bcpierce/wmm/">WMM'10</A> (invited speaker),  | 
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<A HREF="http://http://www.inf.kcl.ac.uk/staff/urbanc/Nominal/activities/idw10/idw.html">IDW'10</A> (co-organiser),  | 
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CPP'11 (member of PC),  | 
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<A HREF="http://www.rdp2011.uns.ac.rs/rta/">RTA'11</A> (member of PC),  | 
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<A HREF="http://lfmtp11.cs.umn.edu">LFMTP'11</A> (member of PC),  | 
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<A HREF="http://www.cs.uwyo.edu/~ruben/itp-2014">ITP'14</A> (member of PC),  | 
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<A HREF="http://www.cicm-conference.org/2015/cicm.php?event=mkm">MKM'15</A> (member of PC),  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/itp-2015/">ITP'15</A> (PC co-chair)  | 
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<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/itp-2015/">ITP'15</A> took place in Nanjing organised  | 
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by Xingyuan Zhang and me<BR>  | 
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<p>  | 
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<B>Current PhD</B> Fahad Ausaf<BR>  | 
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<B>Former RAs</B> Chunhan Wu, <A HREF="http://cl-informatik.uibk.ac.at/users/cek/">Cezary Kaliszyk</A>,  | 
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<A HREF="http://dpt-info.u-strasbg.fr/~narboux/">Julien Narboux</A>  | 
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<B>Nominal Isabelle</B>  | 
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I currently work on Nominal  | 
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<A HREF="http://isabelle.in.tum.de">Isabelle</A> 2. This is joint work with  | 
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<A HREF="http://wwwbroy.in.tum.de/~berghofe/">Dr Stefan Berghofer</A>,  | 
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<A HREF="http://www.lri.fr/~wenzel/">Dr Markus Wenzel</A>,  | 
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<A HREF="http://cl-informatik.uibk.ac.at/users/cek/">Dr Cezary Kaliszyk</A>,  | 
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<A HREF="http://user.it.uu.se/~tjawe125/">Dr Tjark Weber</A> and  | 
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the Isabelle-team in Munich.  | 
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Many of the theoretical ideas originate from the nominal logic project - a wonderful project headed  | 
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by <A HREF="http://www.cl.cam.ac.uk/~amp12/">Prof. Andrew Pitts</A>.  | 
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The aim of my work is to make formal reasoning involving binders as simple as  | 
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on paper and the hope is to lure  | 
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<A HREF="http://alliance.seas.upenn.edu/~plclub/cgi-bin/poplmark/index.php?title=The_POPLmark_Challenge#Vision">masses</A> to automated  | 
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theorem proving. My funding for this work was provided in 2004 and 2005 by a research  | 
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fellowship from the  | 
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<A HREF="http://en.wikipedia.org/wiki/Alexander_von_Humboldt">Alexander-von-Humboldt</A>  | 
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<A HREF="http://www.humboldt-foundation.de/web/home.html">foundation</A>. During this time I was a visitor in the group of  | 
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<A HREF="http://www.mathematik.uni-muenchen.de/~schwicht/">Prof. Helmut Schwichtenberg</A>.  | 
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Since 2006 this work is supported by an  | 
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<A HREF="http://en.wikipedia.org/wiki/Emmy_Noether">Emmy-Noether</A>  | 
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<A HREF="http://www.dfg.de/en/research_funding/programmes/individual/emmy_noether/in_brief/index.html">fellowship</A>.  | 
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There is a <A HREF="http://http://www.inf.kcl.ac.uk/staff/urbanc/Nominal/">webpage</A> and a  | 
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<A HREF="https://mailmanbroy.informatik.tu-muenchen.de/mailman/listinfo/nominal-isabelle">mailing list</A>  | 
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about Nominal Isabelle. It also includes a list of projects that use Nominal Isabelle.  | 
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Users of Nominal Isabelle had their papers appearing at LICS, POPL, FOSSACS, SOS, TPHOLs, CPP, SEFM,  | 
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the Haskell Symposium and  | 
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in the Journal of Automated Reasoning.  | 
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</TD>  | 
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<B>Myhill-Nerode and Regular Expressions</B>  | 
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| 63 | 219  | 
Out of frustration of having to teach reasoning in theorem provers with worn-out examples like  | 
| 2 | 220  | 
fib and even/odd, we implemented a large part of regular language theory in Isabelle/HOL.  | 
221  | 
This <A HREF="http://afp.sourceforge.net/devel-entries/Myhill-Nerode.shtml">implementation</A>  | 
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gives rise to much more interesting examples, as shown  | 
|
| 99 | 223  | 
<A HREF="http://www.cs.cmu.edu/~rwh/papers/regexp/jfp.pdf">here</A> and  | 
| 2 | 224  | 
<A HREF="http://ropas.snu.ac.kr/~kwang/paper/06-jfp-yi.pdf">here</A>. It turns out that  | 
225  | 
formalisations of automata theory are a huge  | 
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<A HREF="https://lists.cam.ac.uk/pipermail/cl-isabelle-users/2005-September/msg00012.html">pain</A>  | 
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| 37 | 227  | 
in theorem provers, especially in those that are based on HOL.  | 
| 2 | 228  | 
We therefore went against the  | 
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<A HREF="http://www.cs.cornell.edu/~kozen/papers/papers_by_year.htm#K97a">mainstream</A>  | 
| 2 | 230  | 
and used in our formalisation regular expressions exclusively,  | 
231  | 
because they are much more convenient for formal reasoning. The results we  | 
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formalised include: the Myhill-Nerode theorem, the closure of regular languages  | 
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under complementation, finiteness of derivatives of regular expressions and a surprising  | 
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result about Subseq, which according to  | 
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this  | 
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<A HREF="http://blog.computationalcomplexity.org/2006/01/theorem-that-should-be-better-known.html">blog</A>  | 
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should be better known. We also answered a  | 
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<A HREF="http://blog.computationalcomplexity.org/2013/02/proving-dfa-langs-closed-under-concat.html">question</A> from the same blog about  | 
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"proving Reg-exp-langs [being] closed under complementation without using equiv to DFA's"....yes we can!  | 
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This is joint work with Prof. Xingyuan  | 
| 2 | 241  | 
Zhang and his student Chunhan Wu from the  | 
242  | 
<A HREF="http://www.ust.com.cn/">PLA University of Science and Technology</A> in Nanjing.  | 
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My funding for this work came from the  | 
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<A HREF="http://www.sinogermanscience.org.cn/">Chinese-German Research Centre</A>.  | 
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</TD>  | 
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<!--  | 
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<TR>  | 
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<B>Priority Inheritance</B>  | 
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In real-time operating systems with processes, resource locking and  | 
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priority scheduling, one faces the problem of indefinite  | 
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<A HREF="http://en.wikipedia.org/wiki/Priority_inversion">priority inversion</A> (processes  | 
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with lower priority block processes with higher priority). If you do not prevent this problem,  | 
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then processes can behave quite erratically, as <A HREF="http://www.nasa.gov">NASA</A> found out the  | 
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<A HREF="http://catless.ncl.ac.uk/Risks/19.54.html#subj6">hard</A> way with their  | 
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<A HREF="http://www.nasa.gov/mission_pages/mars-pathfinder/index.html">Mars Pathfinder mission</A>.  | 
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The priority inheritance protocol is a widely used schedulling algorithm that prevents  | 
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priority inversion. However, the <A HREF="http://dx.doi.org/10.1109/12.57058">original paper</A>  | 
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describing this algorithm contains an incorrect algorithm and a bogus correctness proof  | 
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(this seems to be the only "proof" about priority inheritance in the literature).  | 
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We formalised the priority inheritance protocol, including a generalisation  | 
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of the original work.  | 
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|
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using the inductive method we learned from  | 
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<A HREF="https://www.cl.cam.ac.uk/~lp15/">Prof. Larry Paulson</A>.  | 
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While the problem with the original algorithm was already known, the incorrect  | 
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specification seems to be still in use  | 
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|
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<A HREF="http://mcs.une.edu.au/%7Eiam/Data/threads/node15.html">here</A>  | 
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<A HREF="http://ems2.be/Portals/6/course_docs/OS_pathfinder_failure.ppt">  | 
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|
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This is joint work with Prof. Xingyuan Zhang and his student Chunhan Wu from the  | 
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<A HREF="http://www.ust.com.cn/">PLA University of Science and Technology</A> in Nanjing.  | 
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</TD>  | 
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</TR>  | 
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-->  | 
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">  | 
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<B>Nominal Unification and Alpha-Prolog</B>  | 
|
| 24 | 284  | 
<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Unification">Nominal unification</A> is one outcome of  | 
| 2 | 285  | 
my involvement in the nominal logic project in Cambridge. Another is the logic programming language  | 
286  | 
alpha-Prolog (joint work with <A HREF="http://homepages.inf.ed.ac.uk/jcheney/">Dr James Cheney</A>),  | 
|
287  | 
which uses nominal unification - click for details  | 
|
288  | 
<A HREF="http://homepages.inf.ed.ac.uk/jcheney/programs/aprolog/">here</A>.  | 
|
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The nominal unification algorithm has been  | 
|
| 24 | 290  | 
<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Unification">formally verified</A> in Isabelle. This  | 
| 2 | 291  | 
was possible since this unification algorithm is formulated in a simple first-order language  | 
292  | 
(unlike other algorithms for higher-order unification).  | 
|
293  | 
<A HREF="http://www.cs.indiana.edu/~dfried/">Prof. Daniel Friedman</A> and his group use nominal  | 
|
294  | 
unification in their alpha-Kanren system implemented in Scheme.  | 
|
| 24 | 295  | 
<A HREF="http://www.inf.kcl.ac.uk/staff/maribel/">Prof. Maribel Fernandez</A> and her student  | 
| 2 | 296  | 
improved the nominal unification algorithm to be quadratic.  | 
297  | 
My funding for this work was provided through a research fellowship from  | 
|
298  | 
<A HREF="http://www.corpus.cam.ac.uk">Corpus Christi College</A>, Cambridge.  | 
|
299  | 
</TD>  | 
|
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">  | 
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<B>Classical Logic</B>  | 
|
305  | 
I was Ph.D. student in the University of Cambridge  | 
|
306  | 
<A HREF="http://www.cl.cam.ac.uk">Computer Laboratory</A>  | 
|
307  | 
and for three years  | 
|
308  | 
called Gonville and Caius College my home. I was very lucky to have  | 
|
| 362 | 309  | 
<A HREF="https://labs.oracle.com/pls/apex/f?p=labs:bio:0:2044">Dr Gavin Bierman</A>  | 
| 2 | 310  | 
as supervisor. My research in Cambridge was also very much influenced by  | 
311  | 
<A HREF="http://www.dpmms.cam.ac.uk/~martin/">Prof. Martin Hyland</A>.  | 
|
312  | 
Some details on my thesis "Classical Logic and Computation" are  | 
|
| 24 | 313  | 
<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/PhD/index.html">elsewhere</A>, including  | 
314  | 
a <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Cut/cutapplet.html">Java Applet</A> that  | 
|
| 2 | 315  | 
'visualises' some of the results from the thesis. I completed the writing of  | 
316  | 
the thesis in <A HREF="http://iml.univ-mrs.fr/ldp/">Marseille</A> in the group of  | 
|
317  | 
<A HREF="http://iml.univ-mrs.fr/~girard/">Prof. Jean-Yves Girard</A>. My study in  | 
|
318  | 
Cambridge was funded by two <A HREF="http://www.daad.de/index.html">scholarships</a>  | 
|
319  | 
from the German government; my year in Marseille by a TMR-fellowship from the EU.  | 
|
320  | 
My PhD was also one starting point for the EPSRC Project on the Semantics of Classical  | 
|
| 64 | 321  | 
Proofs. The strong normalisation result in the PhD has been used in 2007 by  | 
| 2 | 322  | 
<A HREF="http://www.loria.fr/~ckirchne/hot.html">Prof. Claude Kirchner</A> and his  | 
| 66 | 323  | 
students for proving consistency of their superdeduction system lemuridae.  | 
| 2 | 324  | 
</TD>  | 
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</TR>  | 
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">  | 
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<B>Forum</B>  | 
|
332  | 
I implemented Forum, a programming language based on classical linear logic,  | 
|
333  | 
as my M.Phil. thesis. This was joint work with  | 
|
| 97 | 334  | 
<A HREF="http://www.cs.st-andrews.ac.uk/~rd/">Dr Roy Dyckhoff</A>.  | 
| 2 | 335  | 
Details can be found  | 
| 97 | 336  | 
<A HREF="http://www.cs.st-andrews.ac.uk/~rd/logic/nonmac/">here</A> and  | 
| 2 | 337  | 
<A HREF="http://www.lix.polytechnique.fr/Labo/Dale.Miller/forum/">here</A>. During my  | 
338  | 
M.Phil study I spent one month in Philadelphia invited by  | 
|
339  | 
<A HREF="http://www.lix.polytechnique.fr/~dale/">Prof. Dale Miller</A>.  | 
|
340  | 
</TD>  | 
|
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<TD BGCOLOR="#FFFFFF" WIDTH="75%">  | 
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<B>G4ip</B> An implementation of G4ip using the imperative language Pizza can be found  | 
|
| 24 | 346  | 
<A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Prover/index.html">here</A>.  | 
| 67 | 347  | 
<A HREF="http://pizzacompiler.sourceforge.net">Pizza</A>, written around 1996, is a conservative  | 
| 69 | 348  | 
extension of Java and a precursor of Scala. My implementation illustrates the technique of  | 
| 70 | 349  | 
success continuations in proof search.  | 
| 2 | 350  | 
</TD>  | 
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</TR>  | 
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</TABLE>  | 
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<P>  | 
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<!-- hhmts start --> Last modified: Wed Mar 30 16:25:03 BST 2016 <!-- hhmts end -->  | 
| 2 | 357  | 
<a href="http://validator.w3.org/check/referer">[Validate this page.]</a>  | 
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</BODY>  | 
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</HTML>  |