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Re: [Coq-Club] Excluded Middle for Type?


Chronological Thread 
  • From: Chris Casinghino <chris.casinghino AT gmail.com>
  • To: Coq Club <coq-club AT inria.fr>
  • Subject: Re: [Coq-Club] Excluded Middle for Type?
  • Date: Tue, 2 Jul 2013 15:44:10 -0400

Hi Adam,

Thanks for the quick response. You're certainly right, and I should
have been a little clearer. I'm interested specifically in logical
consistency, and am not concerned about extraction or the fact that
the axiom will get in the way of reduction.

--Chris

> Such an axiom certainly breaks extraction, since it has no natural
> computational interpretation, but perhaps you don't care about extraction.
> It also makes Gallina "computation" highly non-computational, which also
> might not bother you, depending on the application. I don't know if it's
> logically consistent.



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