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Re: [Coq-Club] Nonstandard analysis in Coq?


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  • From: Bas Spitters <b.a.w.spitters AT gmail.com>
  • To: Coq Club <coq-club AT inria.fr>, Erik Palmgren <palmgren AT math.su.se>
  • Subject: Re: [Coq-Club] Nonstandard analysis in Coq?
  • Date: Wed, 21 Sep 2016 08:58:12 +0200
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His work on sheaf models should be interesting given the recent interest in forcing extensions of type theory (and Coq).

I seem to recall he has also implemented something, but I don't recall whether it was in mathematica, agda or in Coq.


Related to the work by Per Martin-L"of, there is also the work by Wallet on non-standard models of type theory, e.g.:
https://hal.archives-ouvertes.fr/hal-01320619/

On Tue, Sep 20, 2016 at 10:33 AM, Bas Spitters <b.a.w.spitters AT gmail.com> wrote:
There is work by Maguad and Fuchs and coworkers, in Coq:
http://link.springer.com/article/10.1007/s10472-014-9434-6

Sam Sanders and Chuangjie Xu are working on an implementation in agda.
https://arxiv.org/abs/1606.06386

Both groups should be able to give you more information.


On Tue, Sep 20, 2016 at 12:50 AM, Kohei SUENAGA <ksuenaga AT gmail.com> wrote:
Hi,

I'm looking for a Coq implementation of nonstandard analysis by Robinson.
Does anyone know some project to looking at?

Sincerely,

Kohei

--
Kohei Suenaga (末永幸平), Ph.D
Associate professor (准教授)
Graduate School of Informatics, Kyoto University
(京都大学情報学研究科)
ksuenaga AT gmail.com
http://www.fos.kuis.kyoto-u.ac.jp/~ksuenaga/





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