LFCS Seminar Friday 27th June: John Longley 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 core material: Extracting T programs from classical proofs. Examples and applications in proof theory. Additional potential material: Spector's extension to full second-order arithmetic using bar induction. These lectures follow a special format. We will have a formal 50 minute seminar covering all or most of the core material that the later lecture will build in. John kindly agreed to continue with an informal session following the talk including an extended Q&A and covering additional material that later lectures do not require. We are recording both parts of the talk. Subject to unforeseen technical problems and subject to my available time for editing the videos, I plan to upload them to our YouTube channel: https://www.youtube.com/@lfcsseminar9233/playlists<https://eur02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.youtube.com%2F%40lfcsseminar9233%2Fplaylists&data=05%7C02%7C%7Ccebb650e1c2f42a8aef308ddb7b14e34%7C2e9f06b016694589878910a06934dc61%7C0%7C0%7C638868694320112088%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=xwmBdkw09dgxy8lAKoO0SvDLnbVq2x4EXLYnvkLhO1I%3D&reserved=0> Jun 27 2025 16.10 - 17.00 LFCS Seminar Friday 27th June: John Longley John Longley, Lecture 2, University of Edinburgh https://homepages.inf.ed.ac.uk/jrl/ Fri, 27 Jun, 4.10pm Note unusual day! Venue: IF G.03 Informatics Forum, G.03
LFCS Seminar Friday 27th June: John Longley 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 core material: Extracting T programs from classical proofs. Examples and applications in proof theory. Additional potential material: Spector's extension to full second-order arithmetic using bar induction. These lectures follow a special format. We will have a formal 50 minute seminar covering all or most of the core material that the later lecture will build in. John kindly agreed to continue with an informal session following the talk including an extended Q&A and covering additional material that later lectures do not require. We are recording both parts of the talk. Subject to unforeseen technical problems and subject to my available time for editing the videos, I plan to upload them to our YouTube channel: https://www.youtube.com/@lfcsseminar9233/playlists<https://eur02.safelinks.protection.outlook.com/?url=https%3A%2F%2Fwww.youtube.com%2F%40lfcsseminar9233%2Fplaylists&data=05%7C02%7C%7Ccebb650e1c2f42a8aef308ddb7b14e34%7C2e9f06b016694589878910a06934dc61%7C0%7C0%7C638868694320112088%7CUnknown%7CTWFpbGZsb3d8eyJFbXB0eU1hcGkiOnRydWUsIlYiOiIwLjAuMDAwMCIsIlAiOiJXaW4zMiIsIkFOIjoiTWFpbCIsIldUIjoyfQ%3D%3D%7C0%7C%7C%7C&sdata=xwmBdkw09dgxy8lAKoO0SvDLnbVq2x4EXLYnvkLhO1I%3D&reserved=0> Jun 27 2025 16.10 - 17.00 LFCS Seminar Friday 27th June: John Longley John Longley, Lecture 2, University of Edinburgh https://homepages.inf.ed.ac.uk/jrl/ Fri, 27 Jun, 4.10pm Note unusual day! Venue: IF G.03 Informatics Forum, G.03
Jun 27 2025 16.10 - 17.00 LFCS Seminar Friday 27th June: John Longley John Longley, Lecture 2, University of Edinburgh https://homepages.inf.ed.ac.uk/jrl/ Fri, 27 Jun, 4.10pm Note unusual day! Venue: IF G.03
