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- From: roconnor AT theorem.ca
- To: Benjamin Gregoire <Benjamin.Gregoire AT sophia.inria.fr>
- Cc: Coq Club <coq-club AT pauillac.inria.fr>
- Subject: Re: [Coq-Club] head-normal-form and prove by reflection.
- Date: Tue, 21 Aug 2007 05:28:04 -0400 (EDT)
- List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>
On Mon, 20 Aug 2007, Benjamin Gregoire wrote:
roconnor AT theorem.ca
wrote:
Computing the head normal form of proof can be very costly.
Personally I prefer to use the following scheme:
Definition semi_dec : A -> bool:= .... .
Lemma semi_dec_correct :forall a, semi_dec a -> complex_proposition.
Proof. .... Qed.
Now you can trivially define your function. For proof by reflexion you can use the lemma
semi_dec_correct, and what you have to compute is "semi_dec a" which does not contain proof terms.
Benjamin
I would have expected hnf to do the minimum amount of computation necessary to expose a constructor. This is effectively what my semi_dec function does. But hnf seems to actually run simpl until a constructor is exposed.
Anyhow, it's nice to know what I'm doing what you do.
--
Russell O'Connor <http://r6.ca/>
``All talk about `theft,''' the general counsel of the American Graphophone
Company wrote, ``is the merest claptrap, for there exists no property in
ideas musical, literary or artistic, except as defined by statute.''
- [Coq-Club] head-normal-form and prove by reflection., roconnor
- Re: [Coq-Club] head-normal-form and prove by reflection.,
Benjamin Gregoire
- Re: [Coq-Club] head-normal-form and prove by reflection., roconnor
- Re: [Coq-Club] head-normal-form and prove by reflection.,
Benjamin Gregoire
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