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     4 <TITLE>2013/14 Msc Projects</TITLE>
     4 <TITLE>2013/14 Msc Projects</TITLE>
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     5 <BASE HREF="http://nms.kcl.ac.uk/christian.urban/">
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   104   (for example subexpression matching, which my rainy-afternoon matcher cannot). I am sure they thought
   104   (for example subexpression matching, which my rainy-afternoon matcher cannot). I am sure they thought
   105   about the problem much longer than a single afternoon. The task 
   105   about the problem much longer than a single afternoon. The task 
   106   in this project is to find out how good they actually are by implementing the results from their paper. 
   106   in this project is to find out how good they actually are by implementing the results from their paper. 
   107   Their approach is based on the concept of partial derivatives introduced in 1994 by
   107   Their approach is based on the concept of partial derivatives introduced in 1994 by
   108   <A HREF="http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.56.2509&rep=rep1&type=pdf">Valentin Antimirov</A>.
   108   <A HREF="http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.56.2509&rep=rep1&type=pdf">Valentin Antimirov</A>.
   109   I used them once myself in a <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Publications/rexp.pdf">paper</A> 
   109   I used them once myself in a <A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/rexp.pdf">paper</A> 
   110   in order to prove the <A HREF="http://en.wikipedia.org/wiki/Myhill–Nerode_theorem">Myhill-Nerode theorem</A>.
   110   in order to prove the <A HREF="http://en.wikipedia.org/wiki/Myhill–Nerode_theorem">Myhill-Nerode theorem</A>.
   111   So I know they are worth their money. Still, it would be interesting to actually compare their results
   111   So I know they are worth their money. Still, it would be interesting to actually compare their results
   112   with my simple rainy-afternoon matcher and potentially &ldquo;blow away&rdquo; the regular expression matchers 
   112   with my simple rainy-afternoon matcher and potentially &ldquo;blow away&rdquo; the regular expression matchers 
   113   in Python and Ruby (and possibly in Scala too).
   113   in Python and Ruby (and possibly in Scala too).
   114   </p>
   114   </p>
   512   <p>
   512   <p>
   513   <B>Skills:</B> 
   513   <B>Skills:</B> 
   514   Well, you must be a hacker; happy to make things. Your desk might look like this:
   514   Well, you must be a hacker; happy to make things. Your desk might look like this:
   515   <center>
   515   <center>
   516   <img style="-webkit-user-select: none; cursor: -webkit-zoom-in;
   516   <img style="-webkit-user-select: none; cursor: -webkit-zoom-in;
   517   "src="http://www.inf.kcl.ac.uk/staff/urbanc/rpi-photo.jpg" width="209" height="313">
   517   "src="http://nms.kcl.ac.uk/christian.urban/rpi-photo.jpg" width="209" height="313">
   518   </center>
   518   </center>
   519   </p>
   519   </p>
   520 
   520 
   521 
   521 
   522 <li> <H4>[CU8] Proving the Correctness of Programs</H4>
   522 <li> <H4>[CU8] Proving the Correctness of Programs</H4>
   536  algorithm switched on and it almost caused a catastrophic mission failure (see
   536  algorithm switched on and it almost caused a catastrophic mission failure (see
   537  this youtube video <A HREF="http://www.youtube.com/watch?v=lyx7kARrGeM">here</A>
   537  this youtube video <A HREF="http://www.youtube.com/watch?v=lyx7kARrGeM">here</A>
   538  for an explanation what happened).
   538  for an explanation what happened).
   539  We were able to prove the correctness of this algorithm, but were also able to
   539  We were able to prove the correctness of this algorithm, but were also able to
   540  establish the correctness of some optimisations in this
   540  establish the correctness of some optimisations in this
   541  <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Publications/pip.pdf">paper</A>.
   541  <A HREF="http://nms.kcl.ac.uk/christian.urban/Publications/pip.pdf">paper</A>.
   542  </p>
   542  </p>
   543 
   543 
   544  <p>
   544  <p>
   545  On a much smaller scale, there are a few small programs and underlying algorithms where it
   545  On a much smaller scale, there are a few small programs and underlying algorithms where it
   546  is not really understood whether they always compute a correct result (for example the
   546  is not really understood whether they always compute a correct result (for example the
   557 
   557 
   558 
   558 
   559 <li> <H4>Earlier Projects</H4>
   559 <li> <H4>Earlier Projects</H4>
   560 
   560 
   561  I am also open to project suggestions from you. You might find some inspiration from my earlier projects:
   561  I am also open to project suggestions from you. You might find some inspiration from my earlier projects:
   562  <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/bsc-projects-12.html">BSc 2012/13</A>, 
   562  <A HREF="http://nms.kcl.ac.uk/christian.urban/bsc-projects-12.html">BSc 2012/13</A>, 
   563  <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/msc-projects-12.html">MSc 2012/13</A> 
   563  <A HREF="http://nms.kcl.ac.uk/christian.urban/msc-projects-12.html">MSc 2012/13</A> 
   564 
   564 
   565 </ul>
   565 </ul>
   566 </TD>
   566 </TD>
   567 </TR>
   567 </TR>
   568 </TABLE>
   568 </TABLE>