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Re: [Coq-Club] [HoTT] newbie questions about homotopy theory & advantage of UF/Coq


Chronological Thread 
  • From: Maxime Dénès <mail AT maximedenes.fr>
  • To: Altenkirch Thorsten <psztxa AT exmail.nottingham.ac.uk>, "cody.roux AT andrew.cmu.edu" <cody.roux AT andrew.cmu.edu>, "homotopytypetheory AT googlegroups.com" <homotopytypetheory AT googlegroups.com>
  • Cc: "agda AT lists.chalmers.se" <agda AT lists.chalmers.se>, coq-club Club <coq-club AT inria.fr>
  • Subject: Re: [Coq-Club] [HoTT] newbie questions about homotopy theory & advantage of UF/Coq
  • Date: Mon, 06 Jan 2014 13:15:52 -0500

The anti-extensionality bug is indeed related to termination. More precisely, it is the subterm relation used by the guard checker which is not defined quite the right way on dependent pattern matching.

It is not too hard to fix (we have a patch), but doing so without ruling out any interesting legitimate example (dealing with recursion on dependently typed data structures) is more challenging.

I am also curious as to whether Agda is impacted. Let's try it :)

Maxime.

On 01/06/2014 12:59 PM, Altenkirch Thorsten wrote:
Which bug was this?

I only saw the one which allowed you to prove anti-extensionality? But
this wasn't related to termination, or?

Thorsten

On 06/01/2014 16:54, "Cody Roux"
<cody.roux AT andrew.cmu.edu>
wrote:

Nice summary!


On 01/06/2014 08:49 AM, Altenkirch Thorsten wrote:
Agda enforces termination via a termination checker which is more
flexible but I think less principled than Coq's approach.
That's a bit scary given that there was an inconsistency found in
the Coq termination checker just a couple of weeks ago :)

BTW, has anyone tried reproducing the bug in Agda?


Cody
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