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Re: [Coq-Club] a question about CIC/Coq consistency


chronological Thread 
  • From: Vladimir Voevodsky <vladimir AT ias.edu>
  • To: Vincent Siles <vincent.siles AT ens-lyon.org>
  • Cc: Coq-Club Club <coq-club AT inria.fr>
  • Subject: Re: [Coq-Club] a question about CIC/Coq consistency
  • Date: Tue, 27 Sep 2011 14:24:45 -0400

Consistency of Coq in as much as it is rigorously proved at all depends as 
far as I understand on the consistency of much more than Peano arithmetic - 
basically it is equivalent to the consistency of a fairly strong version of 
ZF set theory with universes.

Vladimir.


On Sep 27, 2011, at 11:50 AM, Vincent Siles wrote:

> Hi everyone,
> I just bumped into this [1] and since I don't know much about CIC
> consistency proofs,
> I was wondering if it relied on peano consistency or not ?
> 
> 
> Cheers,
> Vincent
> 
> [1] http://www.cs.nyu.edu/pipermail/fom/2011-September/015816.html





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