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31 expressions. They can be used for a very simple regular expression |
31 expressions. They can be used for a very simple regular expression |
32 matching algorithm. Sulzmann and Lu cleverly extended this algorithm |
32 matching algorithm. Sulzmann and Lu cleverly extended this algorithm |
33 in order to deal with POSIX matching, which is the underlying |
33 in order to deal with POSIX matching, which is the underlying |
34 disambiguation strategy for regular expressions needed in lexers. |
34 disambiguation strategy for regular expressions needed in lexers. |
35 Sulzmann and Lu have made available on-line what they call a |
35 Sulzmann and Lu have made available on-line what they call a |
36 ``rigorous proof'' of the correctness of their algorithm w.r.t. their |
36 ''rigorous proof'' of the correctness of their algorithm w.r.t. their |
37 specification; regrettably, it appears to us to have unfillable gaps. |
37 specification; regrettably, it appears to us to have unfillable gaps. |
38 In the first part of this paper we give our inductive definition of |
38 In the first part of this paper we give our inductive definition of |
39 what a POSIX value is and show (i) that such a value is unique (for |
39 what a POSIX value is and show (i) that such a value is unique (for |
40 given regular expression and string being matched) and (ii) that |
40 given regular expression and string being matched) and (ii) that |
41 Sulzmann and Lu's algorithm always generates such a value (provided |
41 Sulzmann and Lu's algorithm always generates such a value (provided |
62 <li> <A HREF="http://talisker.inf.kcl.ac.uk/%7Eurbanc/cgi-bin/repos.cgi/lexing/raw-file/tip/Literature/sulzmann14-new.pdf">the paper</A> by Sulzmann and Lu |
62 <li> <A HREF="http://talisker.inf.kcl.ac.uk/%7Eurbanc/cgi-bin/repos.cgi/lexing/raw-file/tip/Literature/sulzmann14-new.pdf">the paper</A> by Sulzmann and Lu |
63 </ul> |
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64 |
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