From: Nils Anders Danielsson <nad@cse.gu.se>
To: Homotopy Type Theory <HomotopyTypeTheory@googlegroups.com>
Subject: Re: [HoTT] doing "all of pure mathematics" in type theory
Date: Tue, 28 May 2019 12:13:17 +0200 [thread overview]
Message-ID: <9232f85a-6d64-84dc-a2d0-290c0fc6e760@cse.gu.se> (raw)
In-Reply-To: <CAOvivQx_b2QkEL-HqMXQNJ_QA83KjdAnFe7RmmiPRRQX6tYk-A@mail.gmail.com>
On 28/05/2019 11.50, Michael Shulman wrote:
> More modern homotopy type theories, which are generally based on
> cubical structures, allow univalence to be "executed" by the system.
> However, these systems lack (so far) all the intended categorical
> semantics (see below), and haven't yet been implemented in "real
> world" proof assistants (though there are prototypes now in use and
> development).
The latest release of Agda can be used in cubical mode, and supports
both univalence and higher inductive types. (As well as things like
higher inductive-coinductive-recursive types that may not have a proper
explanation.)
--
/NAD
--
You received this message because you are subscribed to the Google Groups "Homotopy Type Theory" group.
To unsubscribe from this group and stop receiving emails from it, send an email to HomotopyTypeTheory+unsubscribe@googlegroups.com.
To view this discussion on the web visit https://groups.google.com/d/msgid/HomotopyTypeTheory/9232f85a-6d64-84dc-a2d0-290c0fc6e760%40cse.gu.se.
For more options, visit https://groups.google.com/d/optout.
next prev parent reply other threads:[~2019-05-28 10:13 UTC|newest]
Thread overview: 31+ messages / expand[flat|nested] mbox.gz Atom feed top
2019-05-25 10:12 Kevin Buzzard
2019-05-25 10:22 ` Steve Awodey
2019-05-25 12:23 ` Kevin Buzzard
[not found] ` <B7D67BBA-5E0B-4438-908D-4EF316C8C1F1@chalmers.se>
[not found] ` <CAH52Xb1Y=Xq=012v_-KSDUuwgnKpEp5qjrxgtUJf+qc_0RWJUg@mail.gmail.com>
2019-05-25 13:13 ` Fwd: " Kevin Buzzard
2019-05-25 13:34 ` Juan Ospina
2019-05-25 14:50 ` Noah Snyder
2019-05-25 15:36 ` Kevin Buzzard
2019-05-25 16:41 ` Noah Snyder
2019-05-26 5:50 ` Bas Spitters
2019-05-26 11:41 ` Kevin Buzzard
2019-05-26 12:09 ` Bas Spitters
2019-05-26 17:00 ` Kevin Buzzard
2019-05-27 2:33 ` Daniel R. Grayson
2019-06-02 16:30 ` Bas Spitters
2019-06-02 17:55 ` Kevin Buzzard
2019-06-02 20:46 ` Nicola Gambino
2019-06-02 20:59 ` Valery Isaev
2019-06-04 20:32 ` Michael Shulman
2019-06-04 20:58 ` Kevin Buzzard
2019-06-06 16:30 ` Matt Oliveri
2019-05-27 13:09 ` Assia Mahboubi
2019-05-28 9:50 ` Michael Shulman
2019-05-28 10:13 ` Nils Anders Danielsson [this message]
2019-05-28 10:22 ` Michael Shulman
2019-05-29 19:04 ` Martín Hötzel Escardó
2019-05-30 17:14 ` Michael Shulman
2019-06-02 17:49 ` Kevin Buzzard
2019-06-04 20:50 ` Martín Hötzel Escardó
2019-06-05 17:11 ` Thorsten Altenkirch
2019-05-28 15:20 ` Joyal, André
2019-05-27 8:41 ` Nils Anders Danielsson
Reply instructions:
You may reply publicly to this message via plain-text email
using any one of the following methods:
* Save the following mbox file, import it into your mail client,
and reply-to-all from there: mbox
Avoid top-posting and favor interleaved quoting:
https://en.wikipedia.org/wiki/Posting_style#Interleaved_style
* Reply using the --to, --cc, and --in-reply-to
switches of git-send-email(1):
git send-email \
--in-reply-to=9232f85a-6d64-84dc-a2d0-290c0fc6e760@cse.gu.se \
--to=nad@cse.gu.se \
--cc=HomotopyTypeTheory@googlegroups.com \
/path/to/YOUR_REPLY
https://kernel.org/pub/software/scm/git/docs/git-send-email.html
* If your mail client supports setting the In-Reply-To header
via mailto: links, try the mailto: link
Be sure your reply has a Subject: header at the top and a blank line
before the message body.
This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).