Discussion of Homotopy Type Theory and Univalent Foundations
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* [HoTT] Why do we need judgmental equality?
@ 2019-01-30 11:54 Felix Rech
  2019-02-05 23:00 ` [HoTT] " Matt Oliveri
                   ` (3 more replies)
  0 siblings, 4 replies; 71+ messages in thread
From: Felix Rech @ 2019-01-30 11:54 UTC (permalink / raw)
  To: Homotopy Type Theory


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In section 1.1 of the HoTT book it says "In type theory there is also a 
need for an equality judgment." Currently it seems to me like one could, in 
principle, replace substitution along judgmental equality with explicit 
transports if one added a few sensible rules to the type theory. Is there a 
fundamental reason why the equality judgment is still necessary?

Thanks,
Felix Rech

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^ permalink raw reply	[flat|nested] 71+ messages in thread

end of thread, other threads:[~2019-02-20  0:22 UTC | newest]

Thread overview: 71+ messages (download: mbox.gz / follow: Atom feed)
-- links below jump to the message on this page --
2019-01-30 11:54 [HoTT] Why do we need judgmental equality? Felix Rech
2019-02-05 23:00 ` [HoTT] " Matt Oliveri
2019-02-06  4:13   ` Anders Mörtberg
2019-02-09 11:55     ` Felix Rech
2019-02-16 15:59     ` Thorsten Altenkirch
2019-02-17  1:25       ` Michael Shulman
2019-02-17  7:56         ` Thorsten Altenkirch
2019-02-17  9:14           ` Matt Oliveri
2019-02-17  9:18           ` Michael Shulman
2019-02-17 10:52             ` Thorsten Altenkirch
2019-02-17 11:35               ` streicher
2019-02-17 11:44                 ` Thorsten Altenkirch
2019-02-17 14:24                   ` Bas Spitters
2019-02-17 19:36                   ` Thomas Streicher
2019-02-17 21:41                     ` Thorsten Altenkirch
2019-02-17 12:08             ` Matt Oliveri
2019-02-17 12:13               ` Matt Oliveri
2019-02-20  0:22               ` Michael Shulman
2019-02-17 14:22           ` [Agda] " Andreas Abel
2019-02-17  9:05         ` Matt Oliveri
2019-02-17 13:29         ` Nicolai Kraus
2019-02-08 21:19 ` Martín Hötzel Escardó
2019-02-08 23:31   ` Valery Isaev
2019-02-09  1:41     ` Nicolai Kraus
2019-02-09  8:04       ` Valery Isaev
2019-02-09  1:58     ` Jon Sterling
2019-02-09  8:16       ` Valery Isaev
2019-02-09  1:30   ` Nicolai Kraus
2019-02-09 11:38   ` Thomas Streicher
2019-02-09 13:29     ` Thorsten Altenkirch
2019-02-09 13:40       ` Théo Winterhalter
2019-02-09 11:57   ` Felix Rech
2019-02-09 12:39     ` Martín Hötzel Escardó
2019-02-11  6:58     ` Matt Oliveri
2019-02-18 17:37   ` Martín Hötzel Escardó
2019-02-18 19:22     ` Licata, Dan
2019-02-18 20:23       ` Martín Hötzel Escardó
2019-02-09 11:53 ` Felix Rech
2019-02-09 14:04   ` Nicolai Kraus
2019-02-09 14:26     ` Gabriel Scherer
2019-02-09 14:44     ` Jon Sterling
2019-02-09 20:34       ` Michael Shulman
2019-02-11 12:17         ` Matt Oliveri
2019-02-11 13:04           ` Michael Shulman
2019-02-11 15:09             ` Matt Oliveri
2019-02-11 17:20               ` Michael Shulman
2019-02-11 18:17                 ` Thorsten Altenkirch
2019-02-11 18:45                   ` Alexander Kurz
2019-02-11 22:58                     ` Thorsten Altenkirch
2019-02-12  2:09                       ` Jacques Carette
2019-02-12 11:03                   ` Matt Oliveri
2019-02-12 15:36                     ` Thorsten Altenkirch
2019-02-12 15:59                       ` Matt Oliveri
2019-02-11 19:27                 ` Matt Oliveri
2019-02-11 21:49                   ` Michael Shulman
2019-02-12  9:01                     ` Matt Oliveri
2019-02-12 17:54                       ` Michael Shulman
2019-02-13  6:37                         ` Matt Oliveri
2019-02-13 10:01                           ` Ansten Mørch Klev
2019-02-11 20:11                 ` Matt Oliveri
2019-02-11  8:23       ` Matt Oliveri
2019-02-11 13:03         ` Jon Sterling
2019-02-11 13:22           ` Matt Oliveri
2019-02-11 13:37             ` Jon Sterling
2019-02-11  6:51   ` Matt Oliveri
2019-02-09 12:30 ` [HoTT] " Thorsten Altenkirch
2019-02-11  7:01   ` Matt Oliveri
2019-02-11  8:04     ` Valery Isaev
2019-02-11  8:28       ` Matt Oliveri
2019-02-11  8:37         ` Matt Oliveri
2019-02-11  9:32           ` Rafaël Bocquet

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