From: Matt Oliveri <atm...@gmail.com>
To: Homotopy Type Theory <HomotopyT...@googlegroups.com>
Subject: Re: [HoTT] A small observation on cumulativity and the failure of initiality
Date: Sun, 15 Oct 2017 13:06:33 -0700 (PDT) [thread overview]
Message-ID: <cb7a27ff-7c06-4b04-8e4e-a10622fb0936@googlegroups.com> (raw)
In-Reply-To: <CAOvivQy9HZykAErxd9UkV3LA9WnJchM9cWbat3jdh3cRtLKQ0Q@mail.gmail.com>
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On Friday, October 13, 2017 at 11:50:40 AM UTC-4, Michael Shulman wrote:
>
> In an ideal world, a judgment x:A |- t:B
> would have at most one derivation, so that we could induct on
> derivations and still consider the syntactic model to be built out of
> terms rather than derivations.
>
I think this can practically always be arranged. But it's not clear that it
actually makes things easier. So I think you might be confused about when
and why the interpreter would actually look at derivations.
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next prev parent reply other threads:[~2017-10-15 20:06 UTC|newest]
Thread overview: 47+ messages / expand[flat|nested] mbox.gz Atom feed top
2017-10-12 18:43 Dimitris Tsementzis
2017-10-12 22:31 ` [HoTT] " Michael Shulman
2017-10-13 4:30 ` Dimitris Tsementzis
2017-10-13 15:41 ` Michael Shulman
2017-10-13 21:51 ` Dimitris Tsementzis
2017-10-13 0:09 ` Steve Awodey
2017-10-13 0:44 ` Alexander Altman
2017-10-13 15:50 ` Michael Shulman
2017-10-13 16:17 ` Steve Awodey
2017-10-13 16:23 ` Michael Shulman
2017-10-13 16:36 ` Matt Oliveri
2017-10-14 14:56 ` Gabriel Scherer
2017-10-15 7:45 ` Thomas Streicher
2017-10-15 8:37 ` Thierry Coquand
2017-10-15 9:26 ` Thomas Streicher
2017-10-16 5:30 ` Andrew Polonsky
2017-10-15 10:12 ` Michael Shulman
2017-10-15 13:57 ` Thomas Streicher
2017-10-15 14:53 ` Michael Shulman
2017-10-15 16:00 ` Michael Shulman
2017-10-15 21:00 ` Matt Oliveri
2017-10-16 5:09 ` Michael Shulman
2017-10-16 12:30 ` Neel Krishnaswami
2017-10-16 13:35 ` Matt Oliveri
2017-10-16 15:00 ` Michael Shulman
2017-10-16 16:34 ` Matt Oliveri
2017-10-16 13:45 ` Matt Oliveri
2017-10-16 15:05 ` Michael Shulman
2017-10-16 16:20 ` Matt Oliveri
2017-10-16 16:37 ` Michael Shulman
2017-10-16 10:01 ` Thomas Streicher
2017-10-15 20:06 ` Matt Oliveri [this message]
2017-10-13 8:03 ` Peter LeFanu Lumsdaine
2017-10-13 8:10 ` Thomas Streicher
2017-10-14 7:33 ` Thorsten Altenkirch
2017-10-14 9:37 ` Andrej Bauer
2017-10-14 9:52 ` Thomas Streicher
2017-10-14 10:51 ` SV: " Erik Palmgren
2017-10-15 23:42 ` Andrej Bauer
2017-10-15 10:42 ` Thorsten Altenkirch
2017-10-13 22:05 ` Dimitris Tsementzis
2017-10-13 14:12 ` Robin Adams
[not found] <B14E498C-FA19-41D2-B196-42FAF85F8CD8@princeton.edu>
2017-10-14 9:55 ` [HoTT] " Alexander Altman
2017-10-16 10:21 Thorsten Altenkirch
2017-10-16 10:42 ` Andrew Polonsky
2017-10-16 14:12 ` Thorsten Altenkirch
2017-10-16 10:21 Thorsten Altenkirch
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