Discussion of Homotopy Type Theory and Univalent Foundations
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From: Bas Spitters <b.a.w.spitters@gmail.com>
To: homotopytypetheory <homotopytypetheory@googlegroups.com>
Subject: [HoTT] Semantics of QIITs ?
Date: Thu, 16 May 2019 16:57:23 +0200
Message-ID: <CAOoPQuQBwyvbY_f3qNZOgEB7nxQHGUigqXjNhbDmCvB3xnVaOw@mail.gmail.com> (raw)

What is the status of the semantics of quotient inductive inductive types?
Looking at the literature there's some progress on reducing QIITs to
simpler constructions, but this does not seem to have led to a
convenient semantic result.
E.g. QIITs do not seem to be treated in the work by Lumdaine and Shulman.

https://ncatlab.org/nlab/show/inductive-inductive+type

Do we know that the prototypical QIITs from the book (e.g. Cauchy
reals) are supported in the usual models of HoTT?

Thanks,

Bas

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             reply index

Thread overview: 19+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2019-05-16 14:57 Bas Spitters [this message]
2019-05-16 15:39 ` Thorsten Altenkirch
2019-05-16 15:50   ` Bas Spitters
2019-05-16 16:15     ` András Kovács
2019-05-16 18:50       ` Bas Spitters
2019-05-20 16:16         ` Thorsten Altenkirch
2019-05-20 17:54           ` Bas Spitters
2019-05-20 18:35             ` Thorsten Altenkirch
2019-05-20 19:59               ` Jon Sterling
2019-05-20 21:04                 ` Bas Spitters
2019-05-20 22:17                   ` Thorsten Altenkirch
2019-05-20 23:26                     ` Jon Sterling
2019-05-21  0:28                       ` Matt Oliveri
2019-05-21  2:45                         ` Jasper Hugunin
2019-05-21  8:33                         ` Thorsten Altenkirch
2019-05-21 19:56                           ` Matt Oliveri
2019-05-21  8:39                       ` Thorsten Altenkirch
2019-05-21 11:47 ` [HoTT] " Andrew Swan
2019-05-21 12:14   ` Bas Spitters

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