From: Alexander Gietelink Oldenziel <firstname.lastname@example.org>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: [HoTT] Kripke-Joyal Semantics and HoTT
Date: Tue, 8 Oct 2019 08:07:15 -0700 (PDT) [thread overview]
Message-ID: <email@example.com> (raw)
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It is my understanding that the interpretation of HoTT inside higher topoi
is an ongoing field of research. Much of this business involves subtle
strictness properties and things like contextual and syntactic categories.
In the 1-topos case there is the Kripke-Joyal/Stack - semantics. These
semantics are easy to use in practice. Naively, it seems one could lift
the Kripke-Joyal semantics by not asking for truth but simply an inhabitant
of a type.
Has this been investigated at all? Is it ultimately fruitless?
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next reply other threads:[~2019-10-08 15:07 UTC|newest]
Thread overview: 3+ messages / expand[flat|nested] mbox.gz Atom feed top
2019-10-08 15:07 Alexander Gietelink Oldenziel [this message]
2019-10-08 16:36 ` Ali Caglayan
2019-10-10 21:20 ` Michael Shulman
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