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[LFCS seminar] 26+27 Jun: John Longley, Lecture 1, University of Edinburgh: Gödel's System T +
- From: Ohad Kammar <ohad.kammar@ed.ac.uk>
- To: Seminars <inf-seminars@mlist.is.ed.ac.uk>, LFCS Interest <lfcs-interest@mlist.is.ed.ac.uk>
- Cc: John Longley <J.R.Longley@ed.ac.uk>
- Subject: [LFCS seminar] 26+27 Jun: John Longley, Lecture 1, University of Edinburgh: Gödel's System T +
- Date: Mon, 23 Jun 2025 11:48:32 +0000
Hi,
We'll have two hybrid LFCS seminars this week on Thu and Fri.
These are the first two talks in a series of 4 tutorials by John Longley.
Lecture 1) Thursday, 26 Jun, 4.10pm
John Longley, University of Edinburgh
Venue: IF G.03
To attend remotely:
URL: https://ed-ac-uk.zoom.us/j/88693880907
Password: auT7vjGi
Lecture 2) Friday, 27 Jun, 4.10pm
This seminar is hybrid.
Venue: IF G.03
To attend remotely:
URL: https://ed-ac-uk.zoom.us/j/83334756668
Password: 517r2GbZ
We're synchronising the seminar time with the teaching timetable, and
plan to start the talk at the advertised time, so please arrive a minute or two
earlier.
In detail:
----------------------------------------------------------------------
John Longley, University of Edinburgh
https://homepages.inf.ed.ac.uk/jrl/
Thu, 26 Jun, 4.10pm
Venue: IF G.03
Remote participation:
URL: https://ed-ac-uk.zoom.us/j/88693880907
Password: auT7vjGi
Lecture 1: Gödel's System T
Abstract
This talk is the 1st in a short series of 4 tutorial lectures covering
some classic material from higher-order computability theory. The
lectures cover classic material rather than very recent research.
They contain fundamental ideas that have proved to be of enduring
interest, but are perhaps not so easy to learn from books and papers.
These lectures reflect some of my recent ideas for presenting this
material as I work on the second edition of my book with Dag Normann on the
subject.
Lecture 1 will cover the following material:
Motivations and historical background. Logical relations as a key
proof technique:
normalization and continuity results. Some surprising programs
possible in T.
The Berger-Schwichtenberg normalization by evaluation theorem.
----------------------------------------------------------------------
John Longley, University of Edinburgh
https://homepages.inf.ed.ac.uk/jrl/
Fri, 27 Jun, 4.10pm
Venue: IF G.03
Remote participation:
URL: https://ed-ac-uk.zoom.us/j/83334756668
Password: 517r2GbZ
Lecture 2: The Dialectica interpretation
Abstract
This talk is the 2nd in a short series of 4 tutorial lectures covering
some classic material from higher-order computability theory. The
lectures cover classic material rather than very recent research.
They contain fundamental ideas that have proved to be of enduring
interest, but are perhaps not so easy to learn from books and papers.
These lectures reflect some of my recent ideas for presenting this
material as I work on the second edition of my book with Dag Normann on the
subject.
Lecture 2 will cover the following material:
Extracting T programs from classical proofs. Examples and
applications in proof theory.
Spector's extension to full second-order arithmetic using bar
induction.
----------------------------------------------------------------------
Upcoming seminars:
------------------
27 Jun: John Longley, Lecture 2, University of Edinburgh: The Dialectica interpretation
01 Jul: John Longley, Lecture 3, University of Edinburgh: Plotkin's PCF and its
sublanguages
08 Jul: John Longley, Lecture 4, University of Edinburgh: Computability theory of PCF
05 Aug: Michael Sperber, Active Group GmbH
If you would like to propose a speaker, or speak yourself, please contact me.
The seminar webpages:
http://web.inf.ed.ac.uk/lfcs/events/lfcs-seminars
Yours,
Ohad.
The University of Edinburgh is a charitable body, registered in Scotland, with registration number SC005336. Is e buidheann carthannais a th’ ann an Oilthigh Dhùn Èideann, clàraichte an Alba, àireamh clàraidh SC005336.
- [LFCS seminar] 26+27 Jun: John Longley, Lecture 1, University of Edinburgh: Gödel's System T +, Ohad Kammar, 06/23/2025
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