Generic realizability for intuitionistic set theory

Abstract: Generic realizability goes back to Kreisel's and Troelstra's interpretation of intuitionistic second order arithmetic. It was later adapted to systems of intuitionistic set theory by Friedman, Beeson, McCarthy, and Rathjen. We survey known applications and present some recent ones. Joint with Michael Rathjen and Takako Nemoto.

logic

Audience: researchers in the topic

Computability theory and applications

Series comments: Description: Computability theory, logic

The goal of this endeavor is to run a seminar on the platform Zoom on a weekly basis, perhaps with alternating time slots each of which covers at least three out of four of Europe, North America, Asia, and New Zealand/Australia. While the meetings are always scheduled for Tuesdays, the timezone varies, so please refer to the calendar on the website for details about individual seminars.