From: "Martín Hötzel Escardó" <"escardo..."@gmail.com>
To: Homotopy Type Theory <HomotopyT...@googlegroups.com>
Subject: Bishop's work on type theory
Date: Fri, 4 May 2018 14:01:53 -0700 (PDT) [thread overview]
Message-ID: <6dd2e3fe-fb92-4775-8d36-4a741f6d4826@googlegroups.com> (raw)
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This week I learned two interesting things that seem to be kept as a
guarded secret:
(1) Errett Bishop reinvented type theory.
(2) He also explained how to compile it to Algol.
I am adding a link to these two manuscripts. A nice quote from the second
paper (Algol.pdf) is this, in my opinion, because it foresees things such
as Agda, Coq, NuPrl, ...
"The possibility of such a compilation demonstrates the existence of a new
type of programming language, one that contains theorems, proofs,
quantifications, and implications, in addition to the more conventional
facilities for specifying algorithms"
This was in the late 1960's (or correct me). Here is a link to both
manuscripts: http://www.cs.bham.ac.uk/~mhe/Bishop/
Greetings from Bonn.
Martin
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next reply other threads:[~2018-05-04 21:01 UTC|newest]
Thread overview: 16+ messages / expand[flat|nested] mbox.gz Atom feed top
2018-05-04 21:01 Martín Hötzel Escardó [this message]
2018-05-04 21:19 ` [HoTT] " Michael Shulman
2018-05-04 21:56 ` Bas Spitters
2018-05-04 22:04 ` Martín Hötzel Escardó
2018-05-04 22:12 ` Bas Spitters
2018-05-04 22:16 ` Martín Hötzel Escardó
2018-05-04 22:23 ` Michael Shulman
2018-05-05 4:27 ` Michael Shulman
2018-05-05 11:35 ` Thorsten Altenkirch
2018-05-05 15:13 ` Michael Shulman
2018-05-05 15:21 ` Michael Shulman
2018-05-05 21:27 ` Michael Shulman
2018-05-09 22:27 ` Martín Hötzel Escardó
2018-05-10 6:35 ` Andrej Bauer
2018-05-09 9:04 ` Matt Oliveri
2018-05-09 16:15 ` [HoTT] " Michael Shulman
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