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[Coq-Club] Building sets modulo associativity, commutativity and idempotence


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  • From: David Pereira <dpereira AT liacc.up.pt>
  • To: coq-club AT pauillac.inria.fr
  • Subject: [Coq-Club] Building sets modulo associativity, commutativity and idempotence
  • Date: Tue, 21 Jul 2009 20:45:42 +0100
  • List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>

Hi everyone.

I have a tactic for proving equality modulo ACI (associativity, commutativity and idempotence) for regular expressions. This tactic take the an equality x=y (where x and y are regular expressions) and provides a proof of their equivallence modulo ACI. This tactic is similar to the one described in section 16.3.3 of Coq'art book about proof by reflection.

Now, I would now to build a Coq function that uses this tactic for producing a set equivalent modulo ACI to the set given as argument to this function.


Do you have any suggestion, or know about any good document that I can give me some clear clues on how to do this?
Thanks a lot!

David.










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