From: Thomas Streicher <stre...@mathematik.tu-darmstadt.de>
To: Michael Shulman <shu...@sandiego.edu>
Cc: Homotopy Type Theory <HomotopyT...@googlegroups.com>
Subject: Re: [HoTT] A small observation on cumulativity and the failure of initiality
Date: Mon, 16 Oct 2017 12:01:08 +0200 [thread overview]
Message-ID: <20171016100108.GB4118@mathematik.tu-darmstadt.de> (raw)
In-Reply-To: <CAOvivQx_sS4CUJQodSYfN-UqE-K0nnYs3zjE-ZWUTqCHRUqrTQ@mail.gmail.com>
> I'm not saying to do anything different mathematically, just to
> *think* about "using a partial interpretation function on prejudgments
> and showing that all derivable judgments get a meaning" as *being a
> way of* "assigning meanings to derivations and showing that distinct
> derivations of the same judgment get the same meaning".
You can assign meaning to derivations AND define a partial
interpretation function for prejudgements and then show by single
induction on derivations that the meaning assigned to a derivation
coincides with the meaning assigned to the judgement it derives.
So things can be reconciled though assigning meaning to derivations is
a bit of overkill...
Thomas
next prev parent reply other threads:[~2017-10-16 10:01 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 [this message]
2017-10-15 20:06 ` Matt Oliveri
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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