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Re: [Coq-Club] Re: problem in embedding


Chronological Thread 
  • From: Pierre Casteran <pierre.casteran AT labri.fr>
  • To: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] Re: problem in embedding
  • Date: Wed, 29 Aug 2012 13:47:46 +0200

On 29/08/2012 03:18, like wrote:
Hi: Pierre Casteran
I am a fish in this area. How can I fix this problem. Can you give me some
suggestions.Is there something wrong with model_p?




Hi,

(according to the .v file you sent us) the problem comes from the
predicate "derivable" you just declared and did not really define.
So, your goal reduces to something like

H : derivable t1 pi
----------------------
derivable t2 pi

where t1 and t2 are formulas.

Since your type of formulas contains a lot of constructors ( For, Fnext, prj, etc. ) it seems to be very difficult to prove such a goal with only the axiom t2, which doesn't match the current goal.

So you should either define "derivable" (by a cofixpoint maybe) or
give enough axioms for expressing the relationship between derivability
and the constructors of formulas.


What you sent us seems to be related with a formalizatio of temporal logic in Coq. I think that some people should have studied this problem
already.


Pierre




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