Discussion of Homotopy Type Theory and Univalent Foundations
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* [HoTT] HoTT with extensional equality
@ 2020-01-07 19:59 Kristina Sojakova
  2020-01-07 22:03 ` Rafaël Bocquet
  0 siblings, 1 reply; 5+ messages in thread
From: Kristina Sojakova @ 2020-01-07 19:59 UTC (permalink / raw)
  To: Homotopy Type Theory

Dear all,

I have been increasingly running into situations where I wished I had an 
extensional equality type with a  reflection rule in HoTT, in addition 
to the intensional one to which univalence pertains. I know that type 
systems with two equalities have been studied in the HoTT community 
(e.g., VV's HTS), but last time I discussed this with people it seemed 
the situation was not yet well-understood. So my question is, what 
exactly goes wrong if we endow HoTT with an extensional type?

Thank you,

Kristina

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^ permalink raw reply	[flat|nested] 5+ messages in thread

end of thread, other threads:[~2020-01-07 23:26 UTC | newest]

Thread overview: 5+ messages (download: mbox.gz / follow: Atom feed)
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2020-01-07 19:59 [HoTT] HoTT with extensional equality Kristina Sojakova
2020-01-07 22:03 ` Rafaël Bocquet
2020-01-07 22:11   ` Kristina Sojakova
2020-01-07 22:18     ` Rafaël Bocquet
     [not found]     ` <CALCpNBoWKXbQgdJ2Pqq_G7J_0D48OVGUeQoBnOfDHzC__GWkHA@mail.gmail.com>
2020-01-07 23:26       ` Kristina Sojakova

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