Discussion of Homotopy Type Theory and Univalent Foundations
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* [HoTT] Semantics of QIITs ?
@ 2019-05-16 14:57 Bas Spitters
  2019-05-16 15:39 ` Thorsten Altenkirch
  2019-05-21 11:47 ` [HoTT] " Andrew Swan
  0 siblings, 2 replies; 19+ messages in thread
From: Bas Spitters @ 2019-05-16 14:57 UTC (permalink / raw)
  To: homotopytypetheory

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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^ permalink raw reply	[flat|nested] 19+ messages in thread

end of thread, other threads:[~2019-05-21 19:56 UTC | newest]

Thread overview: 19+ messages (download: mbox.gz / follow: Atom feed)
-- links below jump to the message on this page --
2019-05-16 14:57 [HoTT] Semantics of QIITs ? Bas Spitters
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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