From: Urs Schreiber <urs.schreiber@googlemail.com>
To: Dee Roytenberg <roytenberg.d@gmail.com>
Cc: categories@mta.ca
Subject: Re: Applications of (higher) category theory to computer science
Date: Sat, 13 Dec 2014 22:07:41 +0100 [thread overview]
Message-ID: <E1XzvP9-0004Qp-Qa@mlist.mta.ca> (raw)
In-Reply-To: <E1XzSKX-00058r-Ul@mlist.mta.ca>
On 12/11/14, Dee Roytenberg <roytenberg.d@gmail.com> wrote:
> Many thanks to everyone who replied, with enough suggestions to fill a
> bookshelf!
Just to add one remark: while there is a lot of literature this
relation, at the heart of it there is one single simple but profound
dictionary which translates
category theory <-> type theory <-> computation
such that these three subjects become, essentially, just three
different faces of one single phenomenon.
Since this is so neat, Bob Harper once referred to this as
"computational trinitarianism".
A hyperlinked version of the dictionary, with further pointers, is here:
http://ncatlab.org:8080/nlab/show/computational+trinitarianism
Best,
Urs
[For admin and other information see: http://www.mta.ca/~cat-dist/ ]
next prev parent reply other threads:[~2014-12-13 21:07 UTC|newest]
Thread overview: 8+ messages / expand[flat|nested] mbox.gz Atom feed top
2014-12-11 13:38 Dee Roytenberg
2014-12-11 14:47 ` Harley Eades III
2014-12-11 15:45 ` Kyle Marek-Spartz
[not found] ` <2fcp3swq5ytcju.fsf@kmarekspartz-mbp.stp01.office.gdi>
2014-12-11 22:12 ` Dee Roytenberg
2014-12-13 21:07 ` Urs Schreiber [this message]
2014-12-12 4:05 ` Linton, Fred
2014-12-12 18:04 ` Kyle Marek-Spartz
2014-12-13 21:37 Fred E.J. Linton
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=E1XzvP9-0004Qp-Qa@mlist.mta.ca \
--to=urs.schreiber@googlemail.com \
--cc=categories@mta.ca \
--cc=roytenberg.d@gmail.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).