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     4 <TITLE>Homepage of Christian Urban</TITLE>
       
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    41 
       
    42 <B>Links</B><BR>
       
    43 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/index.html">Home</A><BR>
       
    44 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/publications.html">Publications</A><BR>
       
    45 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/teaching.html">Teaching</A><BR>
       
    46 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/travelling.html">Recent Talks</A><BR>
       
    47 <A HREF="http://isabelle.in.tum.de/nominal/">My Research Group</A>
       
    48 <BR>
       
    49 <BR>
       
    50 
       
    51 <B>Handy Information</B><BR>
       
    52 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/logic.html">People in Logic</A><BR> 
       
    53 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/programming.html">Programming Languages</A><BR> 
       
    54 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/misc.html">Miscellaneous</A>
       
    55 <BR><BR>
       
    56 
       
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    80 <TD WIDTH="75%">
       
    81 <H1>Christian Urban</H1>
       
    82 
       
    83 <B>E-mail</B> 
       
    84 christian.urban <I>at</I> kcl ac uk<BR>
       
    85 <BR>
       
    86 
       
    87 <B>Address</B> 
       
    88 <A HREF="http://www.inf.kcl.ac.uk">Department of Informatics</A>,
       
    89 <A HREF="http://www.kcl.ac.uk">King's College London</A>,
       
    90 Strand, London WC2R 2LS, UK. My office is S1.27 on the 1st floor of the Strand Building. 
       
    91 <BR>
       
    92 
       
    93 </TD>
       
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    99 <p>
       
   100 <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>
       
   101 </TD>
       
   102 </TR>
       
   103 
       
   104 <TR>
       
   105 <TD BGCOLOR="#FFFFFF" WIDTH="75%">
       
   106 <B>Current Position</B> 
       
   107 I am a lecturer in the Department of Informatics at King's College London.
       
   108 This is similar to a position of an assistant professor in other places. In 2011,
       
   109 I was also offered a lectureship 
       
   110 <A HREF="http://www.it.uu.se/" TITLE="Uppsala">here</A>, an associate professorship 
       
   111 <A HREF="http://www.itu.dk/en/" TITLE="ITU, Copenhagen">here</A>,
       
   112 and full professorships 
       
   113 <A HREF="http://www.ustcsz.edu.cn/kedweb/" TITLE="IAS, Suzhou">here</A> and 
       
   114 <A HREF="http://202.120.81.220/index.aspx" TITLE="Shanghai">here</A>. 
       
   115 I thank all people involved for their efforts.
       
   116 <P>
       
   117 
       
   118 <B>Past Positions</B> 
       
   119 In April 2006, I was awarded an <A HREF="http://en.wikipedia.org/wiki/Emmy_Noether">Emmy-Noether</A> 
       
   120 <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
       
   121 September 2011.
       
   122 Between September 2008 and February 2009, I was an invited research scientist in 
       
   123 the <A HREF="http://www.cs.princeton.edu/">Department of Computer Science</A> in Princeton.
       
   124 In 2004/05 I was an Alexander-von-Humboldt fellow in Munich and 
       
   125 from 2000 until 2004 I was awarded a Research Fellowship in Cambridge. Before that
       
   126 I did my PhD in Cambridge funded by two scholarships from the German Academic Exchange 
       
   127 Service (<A HREF="http://www.daad.de/index.html">DAAD</A>).
       
   128 <P>
       
   129 
       
   130 <B>Skolem Award 2015</B> Together with
       
   131 <A HREF="http://www.pps.univ-paris-diderot.fr/~tasson/">Christine Tasson</A>, I was awarded a
       
   132 <A HREF="http://www.cadeinc.org/SkolemAward.html">Thoralf Skolem Award</A>, a ten-year
       
   133   test-of-time award from CADE, for our
       
   134   <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Publications/nom-cade-05.ps">paper</A>
       
   135   on Nominal Techniques in Isabelle/HOL from 2005.
       
   136 <P>
       
   137   
       
   138 <B>Research Interests</B> theorem provers, verification, programming languages, compilers, 
       
   139 algorithms, proof theory, type systems, concurrency, lambda calculus, unification, 
       
   140 regular expressions, computability, complexity, functional and logic  programming.
       
   141 <P>
       
   142 
       
   143 <B>Teaching</B> I usually enjoy teaching. At King's my students nominated me for the Teaching
       
   144 Excellence Award in
       
   145 2012 and 2015, and for the best MSc Project supervisor in 2015.
       
   146 In 2014 I received both prizes for Best UG Project Supervisor and for Best
       
   147 MSc Project Supervisor in the <A HREF="http://www.kcl.ac.uk/nms/index.aspx">NMS Faculty<A>.<P>
       
   148 
       
   149 
       
   150 <B>Conferences</B>
       
   151 UNIF'06 (member of PC), 
       
   152 <A HREF="http://www.cs.mcgill.ca/~bpientka/lfmtp07">LFMTP'07</A> (member of PC), 
       
   153 <A HREF="http://isabelle.in.tum.de/nominal/activities/lfmtp08/">LFMTP'08</A> (PC co-chair), 
       
   154 <A HREF="http://www.cis.upenn.edu/~sweirich/wmm/">WMM'08</A> (member of PC),
       
   155 <A HREF="http://www.mat.ufmg.br/lsfa2008/">LSFA'08</A> (invited speaker),
       
   156 <A HREF="http://www.inf.kcl.ac.uk/staff/maribel/TAASN.html">TAASN'09</A> (member of PC),
       
   157 <A HREF="http://lsfa09.cic.unb.br/">LSFA'09</A> (member of PC),
       
   158 <A HREF="http://isabelle.in.tum.de/nominal/activities/tphols09/idw.html">IDW'09</A> (organiser),
       
   159 <A HREF="http://www.seas.upenn.edu/~sweirich/wmm/wmm09.html">WMM'09</A> (PC chair),
       
   160 <A HREF="https://isabelle.in.tum.de/nominal/activities/tphols09/">TPHOLs'09</A> (PC co-chair),
       
   161 <A HREF="http://dream.inf.ed.ac.uk/events/automatheo-2010/">Automatheo'10</A> (member of PC),
       
   162 <A HREF="http://www.floc-conference.org/">ITP'10</A> (member of PC),
       
   163 <A HREF="http://www.inf.kcl.ac.uk/staff/maribel/UNIF/UNIF.html">UNIF'10</A> (invited speaker),
       
   164 <A HREF="http://www.cis.upenn.edu/~bcpierce/wmm/">WMM'10</A> (invited speaker),
       
   165 <A HREF="http://isabelle.in.tum.de/nominal/activities/idw10/idw.html">IDW'10</A> (co-organiser),
       
   166 CPP'11 (member of PC),
       
   167 <A HREF="http://www.rdp2011.uns.ac.rs/rta/">RTA'11</A> (member of PC),
       
   168 <A HREF="http://lfmtp11.cs.umn.edu">LFMTP'11</A> (member of PC),
       
   169 <A HREF="http://www.cs.uwyo.edu/~ruben/itp-2014">ITP'14</A> (member of PC),
       
   170 <A HREF="http://www.cicm-conference.org/2015/cicm.php?event=mkm">MKM'15</A> (member of PC),
       
   171 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/itp-2015/">ITP'15</A> (PC co-chair)
       
   172 <P>
       
   173 
       
   174 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/itp-2015/">ITP'15</A> took place in Nanjing organised
       
   175 by Xingyuan Zhang and me<BR>
       
   176 <p>
       
   177 
       
   178 <B>Current PhD</B> Fahad Ausaf<BR>
       
   179 <B>Former RAs</B>  Chunhan Wu, <A HREF="http://cl-informatik.uibk.ac.at/users/cek/">Cezary Kaliszyk</A>, 
       
   180 <A HREF="http://dpt-info.u-strasbg.fr/~narboux/">Julien Narboux</A>
       
   181 </TD>
       
   182 </TR>
       
   183 
       
   184 <TR>
       
   185 <TD BGCOLOR="#FFFFFF" WIDTH="75%">
       
   186 <B>Nominal Isabelle</B> 
       
   187 I currently work on Nominal 
       
   188 <A HREF="http://isabelle.in.tum.de">Isabelle</A> 2. This is joint work with 
       
   189 <A HREF="http://wwwbroy.in.tum.de/~berghofe/">Dr Stefan Berghofer</A>,
       
   190 <A HREF="http://www.lri.fr/~wenzel/">Dr Markus Wenzel</A>,
       
   191 <A HREF="http://cl-informatik.uibk.ac.at/users/cek/">Dr Cezary Kaliszyk</A>,
       
   192 <A HREF="http://user.it.uu.se/~tjawe125/">Dr Tjark Weber</A> and 
       
   193 the Isabelle-team in Munich.
       
   194 Many of the theoretical ideas originate from the nominal logic project - a wonderful project headed 
       
   195 by <A HREF="http://www.cl.cam.ac.uk/~amp12/">Prof. Andrew Pitts</A>.  
       
   196 The aim of my work is to make formal reasoning involving binders as simple as 
       
   197 on paper and the hope is to lure  
       
   198 <A HREF="http://alliance.seas.upenn.edu/~plclub/cgi-bin/poplmark/index.php?title=The_POPLmark_Challenge#Vision">masses</A> to automated
       
   199 theorem proving. My funding for this work was provided in 2004 and 2005 by a research 
       
   200 fellowship from the 
       
   201 <A HREF="http://en.wikipedia.org/wiki/Alexander_von_Humboldt">Alexander-von-Humboldt</A>
       
   202 <A HREF="http://www.humboldt-foundation.de/web/home.html">foundation</A>. During this time I was a visitor in the group of 
       
   203 <A HREF="http://www.mathematik.uni-muenchen.de/~schwicht/">Prof. Helmut Schwichtenberg</A>.
       
   204 Since 2006 this work is supported by an
       
   205 <A HREF="http://en.wikipedia.org/wiki/Emmy_Noether">Emmy-Noether</A> 
       
   206 <A HREF="http://www.dfg.de/en/research_funding/programmes/individual/emmy_noether/in_brief/index.html">fellowship</A>.
       
   207 There is a <A HREF="http://isabelle.in.tum.de/nominal/">webpage</A> and a
       
   208 <A HREF="https://mailmanbroy.informatik.tu-muenchen.de/mailman/listinfo/nominal-isabelle">mailing list</A> 
       
   209 about Nominal Isabelle. It also includes a list of projects that use Nominal Isabelle.
       
   210 Users of Nominal Isabelle had their papers appearing at LICS, POPL, FOSSACS, SOS, TPHOLs, CPP, SEFM,
       
   211 the Haskell Symposium and
       
   212 in the Journal of Automated Reasoning.
       
   213 </TD>
       
   214 </TR>
       
   215 
       
   216 <TR>
       
   217 <TD BGCOLOR="#FFFFFF" WIDTH="75%">
       
   218 <B>Myhill-Nerode and Regular Expressions</B> 
       
   219 Out of frustration of having to teach reasoning in theorem provers with worn-out examples like
       
   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> 
       
   222 gives rise to much more interesting examples, as shown 
       
   223 <A HREF="http://www.cs.cmu.edu/~rwh/papers/regexp/jfp.pdf">here</A> and 
       
   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 
       
   226 <A HREF="https://lists.cam.ac.uk/pipermail/cl-isabelle-users/2005-September/msg00012.html">pain</A> 
       
   227 in theorem provers, especially in those that are based on HOL. 
       
   228 We therefore went against the 
       
   229 <A HREF="http://www.cs.cornell.edu/~kozen/papers/papers_by_year.htm#K97a">mainstream</A> 
       
   230 and used in our formalisation regular expressions exclusively,
       
   231 because they are much more convenient for formal reasoning. The results we
       
   232 formalised include: the Myhill-Nerode theorem, the closure of regular languages
       
   233 under complementation, finiteness of derivatives of regular expressions and a surprising 
       
   234 result about Subseq, which according to 
       
   235 this 
       
   236 <A HREF="http://blog.computationalcomplexity.org/2006/01/theorem-that-should-be-better-known.html">blog</A> 
       
   237 should be better known. We also answered a
       
   238 <A HREF="http://blog.computationalcomplexity.org/2013/02/proving-dfa-langs-closed-under-concat.html">question</A> from the same blog about
       
   239 "proving Reg-exp-langs [being] closed under complementation without using equiv to DFA's"....yes we can!
       
   240 This is joint work with Prof. Xingyuan
       
   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. 
       
   243 My funding for this work came from the 
       
   244 <A HREF="http://www.sinogermanscience.org.cn/">Chinese-German Research Centre</A>. 
       
   245 </TD>
       
   246 </TR>
       
   247 
       
   248 <!--
       
   249 <TR>
       
   250 <TD BGCOLOR="#FFFFFF" WIDTH="75%">
       
   251 <B>Priority Inheritance</B>
       
   252   In real-time operating systems with processes, resource locking and
       
   253   priority scheduling, one faces the problem of indefinite
       
   254   <A HREF="http://en.wikipedia.org/wiki/Priority_inversion">priority inversion</A> (processes
       
   255   with lower priority block processes with higher priority). If you do not prevent this problem,
       
   256   then processes can behave quite erratically, as <A HREF="http://www.nasa.gov">NASA</A> found out the
       
   257   <A HREF="http://catless.ncl.ac.uk/Risks/19.54.html#subj6">hard</A> way with their
       
   258   <A HREF="http://www.nasa.gov/mission_pages/mars-pathfinder/index.html">Mars Pathfinder mission</A>.
       
   259   The priority inheritance protocol is a widely used schedulling algorithm that prevents
       
   260   priority inversion. However, the <A HREF="http://dx.doi.org/10.1109/12.57058">original paper</A>
       
   261   describing this algorithm contains an incorrect algorithm and a bogus correctness proof
       
   262   (this seems to be the only &quot;proof&quot; about priority inheritance in the literature). 
       
   263 
       
   264   We formalised the priority inheritance protocol, including a generalisation
       
   265   of the original work.
       
   266 
       
   267   using the inductive method we learned from
       
   268   <A HREF="https://www.cl.cam.ac.uk/~lp15/">Prof. Larry Paulson</A>.
       
   269   While the problem with the original algorithm was already known, the incorrect
       
   270   specification seems to be still in use 
       
   271 
       
   272   <A HREF="http://mcs.une.edu.au/%7Eiam/Data/threads/node15.html">here</A>
       
   273   <A HREF="http://ems2.be/Portals/6/course_docs/OS_pathfinder_failure.ppt"> 
       
   274   
       
   275   This is joint work with Prof. Xingyuan Zhang and his student Chunhan Wu from the 
       
   276  <A HREF="http://www.ust.com.cn/">PLA University of Science and Technology</A> in Nanjing. 
       
   277 </TD>
       
   278 </TR>
       
   279 -->
       
   280 
       
   281 <TR>
       
   282 <TD BGCOLOR="#FFFFFF" WIDTH="75%">
       
   283 <B>Nominal Unification and Alpha-Prolog</B> 
       
   284 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Unification">Nominal unification</A> is one outcome of 
       
   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>.
       
   289 The nominal unification algorithm has been 
       
   290 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Unification">formally verified</A> in Isabelle. This 
       
   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. 
       
   295 <A HREF="http://www.inf.kcl.ac.uk/staff/maribel/">Prof. Maribel Fernandez</A> and her student
       
   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>
       
   300 </TR>
       
   301 
       
   302 <TR>
       
   303 <TD BGCOLOR="#FFFFFF"  WIDTH="75%">
       
   304 <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   
       
   309 <A HREF="https://labs.oracle.com/pls/apex/f?p=labs:bio:0:2044">Dr Gavin Bierman</A>
       
   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 
       
   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 
       
   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 
       
   321 Proofs. The strong normalisation result in the PhD has been used in 2007 by 
       
   322 <A HREF="http://www.loria.fr/~ckirchne/hot.html">Prof. Claude Kirchner</A> and his 
       
   323 students for proving consistency of their superdeduction system lemuridae.
       
   324 </TD>
       
   325 </TR>
       
   326 
       
   327 
       
   328 
       
   329 <TR>
       
   330 <TD BGCOLOR="#FFFFFF" WIDTH="75%">
       
   331 <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 
       
   334 <A HREF="http://www.cs.st-andrews.ac.uk/~rd/">Dr Roy Dyckhoff</A>. 
       
   335 Details can be found  
       
   336 <A HREF="http://www.cs.st-andrews.ac.uk/~rd/logic/nonmac/">here</A> and
       
   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>
       
   341 </TR>
       
   342 
       
   343 <TR>
       
   344 <TD BGCOLOR="#FFFFFF" WIDTH="75%">
       
   345 <B>G4ip</B> An implementation of G4ip using the imperative language Pizza can be found 
       
   346 <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Prover/index.html">here</A>.
       
   347 <A HREF="http://pizzacompiler.sourceforge.net">Pizza</A>, written around 1996, is a conservative 
       
   348 extension of Java and a precursor of Scala. My implementation illustrates the technique of 
       
   349 success continuations in proof search.
       
   350 </TD>
       
   351 </TR>
       
   352  
       
   353 
       
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