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|  |      4 | <TITLE>2012/13 MSc Projects</TITLE>
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|  |     30 | 
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|  |     31 | <H2>2012/13 MSc Projects</H2>
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|  |     32 | <H4>Supervisor: Christian Urban</H4> 
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|  |     33 | <H4>Email: christian dot urban at kcl dot ac dot uk,  Office: Strand Building S1.27</H4>
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|  |     34 | <H4>If you are interested in a project, please send me an email and we can discuss details. Please include
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|  |     35 | a short description about your programming skills and Computer Science background in your first email. 
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|  |     36 | I will also need your King's username in order to book the project for you. Thanks.</H4> 
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|  |     37 | 
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|  |     38 | <H4>Note that besides being a lecturer at the theoretical end of Computer Science, I am also a passionate
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|  |     39 |     <A HREF="http://en.wikipedia.org/wiki/Hacker_(programmer_subculture)">hacker</A> …
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|  |     40 |     defined as “a person who enjoys exploring the details of programmable systems and 
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|  |     41 |     stretching their capabilities, as opposed to most users, who prefer to learn only the minimum 
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|  |     42 |     necessary.” I am always happy to supervise like-minded students.</H4>  
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|  |     43 | 
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|  |     44 | <ul class="striped">
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|  |     45 | <li> <H4>[CU1] Regular Expression Matching and Partial Derivatives</H4>
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|  |     46 | 
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|  |     47 |   <p>
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|  |     48 |   <B>Description:</b>  
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|  |     49 |   <A HREF="http://en.wikipedia.org/wiki/Regular_expression">Regular expressions</A> 
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|  |     50 |   are extremely useful for many text-processing tasks...finding patterns in texts,
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|  |     51 |   lexing programs, syntax highlighting and so on. Given that regular expressions were
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|  |     52 |   introduced in 1950 by <A HREF="http://en.wikipedia.org/wiki/Stephen_Cole_Kleene">Stephen Kleene</A>, you might think 
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|  |     53 |   regular expressions have since been studied to death. But you would definitely be mistaken: in fact they are still
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|  |     54 |   an active research area. For example
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|  |     55 |   <A HREF="http://www.home.hs-karlsruhe.de/~suma0002/publications/ppdp12-part-deriv-sub-match.pdf">this paper</A> 
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|  |     56 |   about regular expression matching and partial derivatives was presented this summer at the international 
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|  |     57 |   PPDP'12 conference.</p>
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|  |     58 | 
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|  |     59 |   <p>The background for this project is that some regular expressions are 
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|  |     60 |   "<A HREF="http://en.wikipedia.org/wiki/ReDoS#Examples">evil</A>" 
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|  |     61 |   and can "stab you in the back" according to
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|  |     62 |   this recent <A HREF="http://tech.blog.cueup.com/regular-expressions-will-stab-you-in-the-back">blog post</A>.
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|  |     63 |   For example, if you use in <A HREF="http://www.python.org">Python</A> or 
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|  |     64 |   in <A HREF="http://www.ruby-lang.org/en/">Ruby</A> (probably also in other mainstream programming languages) the 
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|  |     65 |   innocently looking regular expression <code>a?{28}a{28}</code> and match it, say, against the string 
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|  |     66 |   <code>aaaaaaaaaaaaaaaaaaaaaaaaaaaa</code>, you will soon notice that your CPU usage goes to 100%. In fact,
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|  |     67 |   Python and Ruby need approximately 30 seconds for matching this string. You can try it for yourself:
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|  |     68 |   <A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/cgi-bin/repos.cgi/afl-material/raw-file/tip/re.py">re.py</A> (Python version) and 
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|  |     69 |   <A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/cgi-bin/repos.cgi/afl-material/raw-file/tip/re-internal.rb">re.rb</A> 
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|  |     70 |   (Ruby version). You can imagine an attacker
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|  |     71 |   mounting a nice <A HREF="http://en.wikipedia.org/wiki/Denial-of-service_attack">DoS attack</A> against 
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|  |     72 |   your program if it contains such an "evil" regular expression. Actually 
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|  |     73 |   <A HREF="http://www.scala-lang.org/">Scala</A> (and also Java) are almost immune from such
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|  |     74 |   attacks as they can deal with strings of up to 4,300 <code>a</code>s in less than a second. But if you scale
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|  |     75 |   the regular expression and string further to, say, 4,600 <code>a</code>s, you get a <code>StackOverflowError</code> 
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|  |     76 |   exception chrashing your program.
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|  |     77 |   </p>
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|  |     78 | 
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|  |     79 |   <p>
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|  |     80 |   On a rainy afternoon, I implemented 
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|  |     81 |   <A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/cgi-bin/repos.cgi/afl-material/raw-file/tip/re3.scala">this</A> 
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|  |     82 |   regular expression matcher in Scala. It is not as fast as the official one in Scala, but
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|  |     83 |   it can match up to 11,000 <code>a</code>s in less than 5 seconds  without raising any exception
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|  |     84 |   (remember Python and Ruby both need nearly 30 seconds to process 28(!) <code>a</code>s, and Scala's
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|  |     85 |   offical matcher maxes out at 4,600 <code>a</code>s). My matcher is approximately
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|  |     86 |   85 lines of code and based on the concept of 
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|  |     87 |   <A HREF="http://lambda-the-ultimate.org/node/2293">derivatives of regular experssions</A>.
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|  |     88 |  Derivatives were introduced in 1964 by <A HREF="http://en.wikipedia.org/wiki/Janusz_Brzozowski_(computer_scientist)">
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|  |     89 |   Janusz Brzozowski</A>, but according to this 
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|  |     90 |   <A HREF="http://www.cl.cam.ac.uk/~so294/documents/jfp09.pdf">paper</A> had been lost in the "sands of time".
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|  |     91 |   The advantage of derivatives is that they side-step completely the usual 
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|  |     92 |   <A HREF="http://hackingoff.com/compilers/regular-expression-to-nfa-dfa">translations</A> of regular expressions
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|  |     93 |   into NFAs or DFAs, which can introduce the exponential behaviour exhibited by the regular
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|  |     94 |   expression matchers in Python and Ruby.
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|  |     95 |   </p>
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|  |     96 | 
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|  |     97 |   <p>
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|  |     98 |   Now the guys from the 
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|  |     99 |   <A HREF="http://www.home.hs-karlsruhe.de/~suma0002/publications/ppdp12-part-deriv-sub-match.pdf">PPDP'12-paper</A> mentioned 
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|  |    100 |   above claim they are even faster than me and can deal with even more features of regular expressions
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|  |    101 |   (for example subexpression matching, which my rainy-afternoon matcher lacks). I am sure they thought
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|  |    102 |   about the problem much longer than a single afternoon. The task 
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|  |    103 |   in this project is to find out how good they actually are by implementing the results from their paper. 
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|  |    104 |   Their approach is based on the concept of partial derivatives introduced in 1994 by
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|  |    105 |   <A HREF="http://reference.kfupm.edu.sa/content/p/a/partial_derivatives_of_regular_expressio_1319383.pdf">Valentin Antimirov</A>.
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|  |    106 |   I used them <A HREF="http://www.inf.kcl.ac.uk/staff/urbanc/Publications/rexp.pdf">once</A> 
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|  |    107 |   in order to prove the <A HREF="http://en.wikipedia.org/wiki/Myhill–Nerode_theorem">Myhill-Nerode theorem</A>
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|  |    108 |   by using only regular expressions.
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|  |    109 |   </p>
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|  |    110 | 
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|  |    111 |   <p>
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|  |    112 |   <B>Literature:</B> 
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|  |    113 |   The place to start with this project is obviously this
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|  |    114 |   <A HREF="http://www.home.hs-karlsruhe.de/~suma0002/publications/ppdp12-part-deriv-sub-match.pdf">paper</A>.
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|  |    115 |   Traditional methods for regular expression matching are explained
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|  |    116 |   in the wikipedia articles 
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|  |    117 |   <A HREF="http://en.wikipedia.org/wiki/DFA_minimization">here</A> and 
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|  |    118 |   <A HREF="http://en.wikipedia.org/wiki/Powerset_construction">here</A>.
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|  |    119 |   The authoritative <A HREF="http://infolab.stanford.edu/~ullman/ialc.html">book</A>
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|  |    120 |   on automata and regular expressions is by John Hopcroft and Jeffrey Ullmann (available in the library). 
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|  |    121 |   There is also an online course about this topic by Ullman at 
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|  |    122 |   <A HREF="https://www.coursera.org/course/automata">Coursera</A>, though IMHO not 
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|  |    123 |   done with love. 
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|  |    124 |   Finally, there are millions of other pointers about regular expression
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|  |    125 |   matching on the Net. Test cases for "<A HREF="http://en.wikipedia.org/wiki/ReDoS#Examples">evil</A>"
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|  |    126 |   regular expressions can be obtained from <A HREF="http://en.wikipedia.org/wiki/ReDoS#Examples">here</A>.
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|  |    127 |   </p>
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|  |    128 | 
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|  |    129 |   <p>
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|  |    130 |   <B>Skills:</B> 
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|  |    131 |   This is a project for a student with an interest in theory and some
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|  |    132 |   reasonable programming skills. The project can be easily implemented
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|  |    133 |   in languages like
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|  |    134 |   <A HREF="http://www.scala-lang.org/">Scala</A>,
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|  |    135 |   <A HREF="http://en.wikipedia.org/wiki/Standard_ML">ML</A>,  
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|  |    136 |   <A HREF="http://haskell.org/haskellwiki/Haskell">Haskell</A>, 
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|  |    137 |   <A HREF="http://www.python.org">Python</A>, etc.
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|  |    138 |   </p>
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|  |    139 | 
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|  |    140 | <!--
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|  |    141 | <li> <H4>[CU2] Equivalence Checking of Regular Expressions</H4>
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|  |    142 | 
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|  |    143 |   <p>
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|  |    144 |   <B>Description:</b>  
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|  |    145 |   Solving the problem of deciding the equivalence of regular expressions can be used
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|  |    146 |   to decide a number of problems in automated reasoning. Recently, 
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|  |    147 |   <A HREF="http://www.cs.unibo.it/~asperti/">Andreas Asperti</A>
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|  |    148 |   proposed a simple method for deciding regular expression equivalence described
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|  |    149 |   <A HREF="http://www.cs.unibo.it/~asperti/PAPERS/compact.pdf">here</A>. 
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|  |    150 |   The task is to implement this method and test it on examples.
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|  |    151 |   It would be also interesting to see whether Asperti's method applies to
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|  |    152 |   extended regular expressions, described
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|  |    153 |   <A HREF="http://ww2.cs.mu.oz.au/~sulzmann/manuscript/reg-exp-partial-derivatives.pdf">here</A>.
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|  |    154 |   </p>
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|  |    155 | 
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|  |    156 |   <p>
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|  |    157 |   <B>Literature:</B> 
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|  |    158 |   The central literature is obviously the papers
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|  |    159 |   <A HREF="http://www.cs.unibo.it/~asperti/PAPERS/compact.pdf">here</A> and
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|  |    160 |   <A HREF="http://ww2.cs.mu.oz.au/~sulzmann/manuscript/reg-exp-partial-derivatives.pdf">here</A>.
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|  |    161 |   Asperti has also some slides <A HREF="http://www.cs.unibo.it/~asperti/SLIDES/regular.pdf">here</a>.
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|  |    162 |   More references about regular expressions can be found
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|  |    163 |   <A HREF="http://en.wikipedia.org/wiki/Regular_expression">here</A>. Like in
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|  |    164 |   [CU1], I will give a lot of the background pf this project in
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|  |    165 |   my Automata and Formal Languages course (6CCS3AFL).
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|  |    166 |   </p>  
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|  |    167 | 
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|  |    168 |   <p>
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|  |    169 |   <B>Skills:</B> 
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|  |    170 |   This is a project for a student with a passion for theory and some
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|  |    171 |   reasonable programming skills. The project can be easily implemented
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|  |    172 |   in languages like Scala
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|  |    173 |   <A HREF="http://www.scala-lang.org/">Scala</A>,
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|  |    174 |   <A HREF="http://en.wikipedia.org/wiki/Standard_ML">ML</A>,  
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|  |    175 |   <A HREF="http://haskell.org/haskellwiki/Haskell">Haskell</A>, 
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|  |    176 |   <A HREF="http://www.python.org">Python</A>, etc.
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|  |    177 |   Being able to read <A HREF="http://haskell.org/haskellwiki/Haskell">Haskell</A>
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|  |    178 |   code is beneficial for the part involving extended regular expressions.
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|  |    179 |   </p>
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|  |    180 | -->
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|  |    181 | 
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|  |    182 | <li> <H4>[CU3] Machine Code Generation for a Simple Compiler</H4>
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|  |    183 | 
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|  |    184 |   <p>
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|  |    185 |   <b>Description:</b> 
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|  |    186 |   Compilers translate high-level programs that humans can read and write into
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|  |    187 |   efficient machine code that can be run on a CPU or virtual machine.
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|  |    188 |   I recently implemented a very simple compiler for a very simple functional
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|  |    189 |   programming language following this 
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|  |    190 |   <A HREF="http://www.cs.princeton.edu/~dpw/papers/tal-toplas.pdf">paper</A> 
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|  |    191 |   (also described <A HREF="http://www.cs.princeton.edu/~dpw/papers/tal-tr.pdf">here</A>).
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|  |    192 |   My code, written in <A HREF="http://www.scala-lang.org/">Scala</A>, of this compiler is 
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|  |    193 |   <A HREF="http://www.dcs.kcl.ac.uk/staff/urbanc/compiler.scala">here</A>.
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|  |    194 |   The compiler can deal with simple programs involving natural numbers, such
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|  |    195 |   as Fibonacci numbers
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|  |    196 |   or factorial (but it can be easily extended - that is not the point).
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|  |    197 |   </p>
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|  |    198 | 
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|  |    199 |   <p>
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|  |    200 |   While the hard work has been done (understanding the two papers above),
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|  |    201 |   my compiler only produces some idealised machine code. For example I
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|  |    202 |   assume there are infinitely many registers. The goal of this
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|  |    203 |   project is to generate machine code that is more realistic and can
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|  |    204 |   run on a CPU, like x86, or run on a virtual machine, say the JVM. 
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|  |    205 |   This gives probably a speedup of thousand times in comparison to
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|  |    206 |   my naive machine code and virtual machine. The project
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|  |    207 |   requires to dig into the literature about real CPUs and generating 
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|  |    208 |   real machine code. 
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|  |    209 |   </p>
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|  |    210 | 
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|  |    211 |   <p>
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|  |    212 |   <B>Literature:</B>
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|  |    213 |   There is a lot of literature about compilers 
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|  |    214 |   (for example <A HREF="http://www.cs.princeton.edu/~appel/papers/cwc.html">this book</A> -
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|  |    215 |   I can lend you my copy for the duration of the project). A very good overview article
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|  |    216 |   about implementing compilers by 
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|  |    217 |   <A HREF="http://tratt.net/laurie/">Laurie Tratt</A> is 
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|  |    218 |   <A HREF="http://tratt.net/laurie/tech_articles/articles/how_difficult_is_it_to_write_a_compiler">here</A>.
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|  |    219 |   An introduction into x86 machine code is <A HREF="http://ianseyler.github.com/easy_x86-64/">here</A>.
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|  |    220 |   Intel's official manual for the x86 instruction is 
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|  |    221 |   <A HREF="http://download.intel.com/design/intarch/manuals/24319101.pdf">here</A>. 
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|  |    222 |   A simple assembler for the JVM is described <A HREF="http://jasmin.sourceforge.net">here</A>.
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|  |    223 |   An interesting twist of this project is to not generate code for a CPU, but
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|  |    224 |   for the intermediate language of the <A HREF="http://llvm.org">LLVM</A> compiler
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|  |    225 |   (also described <A HREF="https://wiki.aalto.fi/display/t1065450/LLVM+IR">here</A> and
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|  |    226 |   <A HREF="http://llvm.org/docs/LangRef.html">here</A>). If you want to see
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|  |    227 |   what machine code looks like you can compile your C-program using gcc -S.
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|  |    228 |   </p>
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|  |    229 | 
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|  |    230 |   <p>
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|  |    231 |   <B>Skills:</B> 
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|  |    232 |   This is a project for a student with a deep interest in programming languages and
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|  |    233 |   compilers. Since my compiler is implemented in <A HREF="http://www.scala-lang.org/">Scala</A>,
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|  |    234 |   it would make sense to continue this project in this language. I can be
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|  |    235 |   of help with questions and books about <A HREF="http://www.scala-lang.org/">Scala</A>.
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|  |    236 |   But if Scala is a problem, my code can also be translated quickly into any other functional
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|  |    237 |   language. 
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|  |    238 |   </p>
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|  |    239 | 
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|  |    240 | <li> <H4>[CU4] Implementation of Register Spilling Algorithms</H4>
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|  |    241 |   
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|  |    242 |   <p>
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|  |    243 |   <b>Description:</b> 
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|  |    244 |   This project is similar to [CU3]. The emphasis here, however, is on the
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|  |    245 |   implementation and comparison of register spilling algorithms, also often called register allocation 
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|  |    246 |   algorithms. They are part of any respectable compiler.  As said
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|  |    247 |   in [CU3], however, my simple compiler lacks them and assumes an infinite amount of registers instead.
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|  |    248 |   Real CPUs however only provide a fixed amount of registers (for example
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|  |    249 |   x86-64 has 16 general purpose registers). Whenever a program needs
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|  |    250 |   to hold more values than registers, the values need to be “spilled”
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|  |    251 |   into the main memory. Register spilling algorithms try to minimise
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|  |    252 |   this spilling, since fetching values from main memory is a costly 
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|  |    253 |   operation. 
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|  |    254 |   </p>
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|  |    255 | 
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|  |    256 |   <p>
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|  |    257 |   The classic algorithm for register spilling uses a
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|  |    258 |   <A HREF="http://en.wikipedia.org/wiki/Register_allocation">graph-colouring method</A>.
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|  |    259 |   However, for some time the <A HREF="http://llvm.org">LLVM</A> compiler
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|  |    260 |   used a supposedly more efficient method, called the linear scan allocation method
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|  |    261 |   (described 
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|  |    262 |   <A HREF="http://www.cs.ucla.edu/~palsberg/course/cs132/linearscan.pdf">here</A>).
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|  |    263 |   However, it was later decided to abandon this method in favour of 
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|  |    264 |   a <A HREF="http://blog.llvm.org/2011/09/greedy-register-allocation-in-llvm-30.html">
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|  |    265 |   greedy register allocation</A> method. It would be nice if this project can find out
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|  |    266 |   what the issues are with these methods and implement at least one of them for the 
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|  |    267 |   simple compiler referenced in [CU3].
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|  |    268 |   </p>
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|  |    269 | 
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|  |    270 |   <p>
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|  |    271 |   <B>Literature:</B> 
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|  |    272 |   The graph colouring method is described in Andrew Appel's 
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|  |    273 |   <A HREF="http://www.cs.princeton.edu/~appel/modern/java/">book</A> on compilers
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|  |    274 |   (I can give you my copy of this book, if it is not available in the library).
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|  |    275 |   There is also a survey 
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|  |    276 |   <A HREF="http://compilers.cs.ucla.edu/fernando/publications/drafts/survey.pdf">article</A> 
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|  |    277 |   about register allocation algorithms with further pointers.
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|  |    278 |   </p>
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|  |    279 | 
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|  |    280 |   <p>
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|  |    281 |   <B>Skills:</B> 
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|  |    282 |   Same skills as [CU3].
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|  |    283 |   </p>
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|  |    284 | 
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|  |    285 | <li> <H4>[CU5] A Student Polling System</H4>
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|  |    286 | 
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|  |    287 |   <p>
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|  |    288 |   <B>Description:</B>
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|  |    289 |   One of the more annoying aspects of giving a lecture is to ask a question
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|  |    290 |   to the students and no matter how easy the questions is to not 
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|  |    291 |   receive an answer. Recently, the online course system 
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|  |    292 |   <A HREF="http://www.udacity.com">Udacity</A> made an art out of
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|  |    293 |   asking questions during lectures (see for example the
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|  |    294 |   <A HREF="http://www.udacity.com/overview/Course/cs253/CourseRev/apr2012">Web Application Engineering</A> 
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|  |    295 |   course CS253).
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|  |    296 |   The lecturer there gives multiple-choice questions as part of the lecture and the students need to 
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|  |    297 |   click on the appropriate answer. This works very well in the online world. 
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|  |    298 |   For  “real-world” lectures, the department has some 
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|  |    299 |   <A HREF="http://en.wikipedia.org/wiki/Audience_response">clickers</A>
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|  |    300 |   (these are little devices part of an audience response systems). However, 
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|  |    301 |   they are a logistic nightmare for the lecturer: they need to be distributed 
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|  |    302 |   during the lecture and collected at the end. Nowadays, where students
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|  |    303 |   come with their own laptop or smartphone to lectures, this can
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|  |    304 |   be improved.
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|  |    305 |   </p>
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|  |    306 | 
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|  |    307 |   <p>
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|  |    308 |   The task of this project is to implement an online student
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|  |    309 |   polling system. The lecturer should be able to prepare 
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|  |    310 |   questions beforehand (encoded as some web-form) and be able to 
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|  |    311 |   show them during the lecture. The students
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|  |    312 |   can give their answers by clicking on the corresponding webpage.
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|  |    313 |   The lecturer can then collect the responses online and evaluate them 
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|  |    314 |   immediately. Such a system is sometimes called
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|  |    315 |   <A HREF="http://en.wikipedia.org/wiki/Audience_response#Smartphone_.2F_HTTP_voting">HTML voting</A>. 
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|  |    316 |   There are a number of commercial
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|  |    317 |   solutions for this problem, but they are not easy to use (in addition
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|  |    318 |   to being ridiculously expensive). A good student can easily improve upon
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|  |    319 |   what they provide. 
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|  |    320 |   </p>
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|  |    321 | 
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|  |    322 |   <p>
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|  |    323 |   The problem of student polling is not as hard as 
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|  |    324 |   <A HREF="http://en.wikipedia.org/wiki/Electronic_voting">electronic voting</A>, 
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|  |    325 |   which essentially is still an unsolved problem in Computer Science. The
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|  |    326 |   students only need to be prevented from answering question more than once thus skewing
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|  |    327 |   any statistics. Unlike electronic voting, no audit trail needs to be kept
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|  |    328 |   for student polling. Restricting the number of answers can probably be solved 
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|  |    329 |   by setting appropriate cookies on the students
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|  |    330 |   computers or smart phones.
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|  |    331 |   </p>
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|  |    332 | 
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|  |    333 |   <p>
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|  |    334 |   <B>Literature:</B> 
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|  |    335 |   The project requires fluency in a web-programming language (for example 
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|  |    336 |   <A HREF="http://en.wikipedia.org/wiki/JavaScript">Javascript</A>,
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|  |    337 |   <A HREF="http://en.wikipedia.org/wiki/PHP">PHP</A>, 
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|  |    338 |   Java, <A HREF="http://www.python.org">Python</A>, 
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|  |    339 |   <A HREF="http://en.wikipedia.org/wiki/Go_(programming_language)">Go</A>, 
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|  |    340 |   <A HREF="http://www.scala-lang.org/">Scala</A>,
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|  |    341 |   <A HREF="http://en.wikipedia.org/wiki/Ruby_(programming_language)">Ruby</A>) 
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|  |    342 |   and possibly a cloud application platform (for example
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|  |    343 |   <A HREF="https://developers.google.com/appengine/">Google App Engine</a> or 
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|  |    344 |   <A HREF="http://www.heroku.com">Heroku</A>).
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|  |    345 |   For web-programming the 
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|  |    346 |   <A HREF="http://www.udacity.com/overview/Course/cs253/CourseRev/apr2012">Web Application Engineering</A>
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|  |    347 |   course at <A HREF="http://www.udacity.com">Udacity</A> is a good starting point 
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|  |    348 |   to be aware of the issues involved. This course uses <A HREF="http://www.python.org">Python</A>.
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|  |    349 |   To evaluate the answers from the student, Google's 
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|  |    350 |   <A HREF="https://developers.google.com/chart/image/docs/making_charts">Chart Tools</A>
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|  |    351 |   might be useful, which ar also described in this 
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|  |    352 |   <A HREF="http://www.youtube.com/watch?v=NZtgT4jgnE8">youtube</A> video.
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|  |    353 |   </p>
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|  |    354 | 
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|  |    355 |   <p>
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|  |    356 |   <B>Skills:</B> 
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|  |    357 |   In order to provide convenience for the lecturer, this project needs very good web-programming skills. A 
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|  |    358 |   <A HREF="http://en.wikipedia.org/wiki/Hacker_(programmer_subculture)">hacker mentality</A>
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|  |    359 |   (see above) is probably very beneficial: web-programming is an area that only emerged recently and
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|  |    360 |   many tools still lack maturity. You probably have to experiment a lot with several different
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|  |    361 |   languages and tools.
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|  |    362 |   </p>
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|  |    363 | 
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|  |    364 | <li> <H4>[CU6] Implementation of a Distributed Clock-Synchronisation Algorithm developed at NASA</H4>
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|  |    365 |   
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|  |    366 |   <p>
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|  |    367 |   <B>Description:</B>
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|  |    368 |   There are many algorithms for synchronising clocks. This
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|  |    369 |   <A HREF="http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20120000054_2011025573.pdf">paper</A> 
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|  |    370 |   describes a new algorithm for clocks that communicate by exchanging
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|  |    371 |   messages and thereby reach a state in which (within some bound) all clocks are synchronised.
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|  |    372 |   A slightly longer and more detailed paper about the algorithm is 
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|  |    373 |   <A HREF="http://hdl.handle.net/2060/20110020812">here</A>.
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|  |    374 |   The point of this project is to implement this algorithm and simulate networks of clocks.
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|  |    375 |   </p>
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|  |    376 | 
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|  |    377 |   <p>
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|  |    378 |   <B>Literature:</B> 
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|  |    379 |   There is a wide range of literature on clock syncronisation algorithms. 
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|  |    380 |   Some pointers are given in this
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|  |    381 |   <A HREF="http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20120000054_2011025573.pdf">paper</A>,
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|  |    382 |   which describes the algorithm to be implemented in this project. Pointers
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|  |    383 |   are given also <A HREF="http://en.wikipedia.org/wiki/Clock_synchronization">here</A>.
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|  |    384 |   </p>
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|  |    385 | 
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|  |    386 |   <p>
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|  |    387 |   <B>Skills:</B> 
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|  |    388 |   In order to implement a simulation of a network of clocks, you need to tackle
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|  |    389 |   concurrency. You can do this for example in the programming language
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|  |    390 |   <A HREF="http://www.scala-lang.org/">Scala</A> with the help of the 
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|  |    391 |   <A HREF="http://akka.io">Akka</a> library. This library enables you to send messages
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|  |    392 |   between different <I>actors</I>. <A HREF="http://www.scala-lang.org/node/242">Here</A> 
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|  |    393 |   are some examples that explain how to implement exchanging messages between actors. 
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|  |    394 |   </p>
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|  |    395 | 
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|  |    396 | </ul>
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|  |    397 | </TD>
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|  |    398 | </TR>
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|  |    399 | </TABLE>
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|  |    400 | 
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|  |    401 | <P>
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|  |    402 | <!-- Created: Tue Mar  4 00:23:25 GMT 1997 -->
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|  |    404 | Last modified: Wed Sep 12 16:30:03 GMT 2012
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