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Re: [Coq-Club] Getting Program's postcondition with a two-level dependent pattern matching?


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  • From: Adam Koprowski <adam.koprowski AT gmail.com>
  • To: Matthieu Sozeau <mattam AT mattam.org>
  • Cc: Coq Club <coq-club AT pauillac.inria.fr>
  • Subject: Re: [Coq-Club] Getting Program's postcondition with a two-level dependent pattern matching?
  • Date: Sun, 28 Jun 2009 01:53:51 +0200
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In short, this works: [...]
  Thanks! I'll try to see whether I can make it work on my real problem...
 
For the generation of equalities for the toplevel dependent pattern-matching,
you should get them for free! The automatic inference of the return predicate
was not getting the dependency of the return type in [x], but this can be fixed.
As a result, you get to prove the [correct] tcc in each branch instead of having
to destruct the whole term again and get into these dependency problems.
  Indeed in my previous (simpler) version of this function, when [x] was not dependently typed, that was the case: I got one tcc per branch, with equality constraints and everything worked beautifully.
  By 'this can be fixed' you mean the treatment of such cases by Program? Or is there anything I can do to avoid providing the return clause and benefiting from the Program's extra treatment of pattern matching?

  Cheers,
   Adam
--
=====================================================
Adam.Koprowski AT gmail.com, http://www.cs.ru.nl/~Adam.Koprowski
The difference between impossible and possible
lies in determination (Tommy Lasorda)
=====================================================



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