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Re: [Coq-Club] Type:Type and turning of universe consistency check


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  • From: Erik Palmgren <palmgren AT math.su.se>
  • To: coq-club AT inria.fr
  • Subject: Re: [Coq-Club] Type:Type and turning of universe consistency check
  • Date: Sun, 12 Apr 2015 22:05:28 +0200


Thanks! That should be enough for the first experiemnts.

Erik

Jason Gross skrev den 2015-04-12 21:18:
Coq 8.5 (beta) has -type-in-type (listed under coqc --help). If you
don't want to move to Coq 8.5, the closest you can get in Coq 8.4 is
-impredicative-set, which doesn't quite give you what you want. I think
Vladimir Voevodsky and Dan Grayson also had a patch for Coq 8.4 that
gave you Type:Type (but you have to build Coq from source, then, anyway).

-Jason

On Sun, Apr 12, 2015 at 3:02 PM, Erik Palmgren
<palmgren AT math.su.se
<mailto:palmgren AT math.su.se>>
wrote:

Hello

I would like to experiment with computational behaviour in a type
theory with Type:Type. Is there any possibility to turn off universe
consistency check in (recent versions of) Coq? At same time I would
like to force Type(1):Type(1) (say).

I seem to remember experiments like this were indeed possible in old
Agda by simply making a suitable inductive-recursive definition of
such a universe and ignoring warnings of non-well foundedness.

Thanks

Erik Palmgren





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