Logic seminar: Sonia Marin (University of Birmingham)
|Dates:||22 November 2023|
|Times:||15:15 - 16:15|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, External researchers, Adults, Alumni, Current University students|
Title: Proof theory for intuitionistic modal logic, new developments.
Abstract: In his thesis in 1994, Simpson gave a comprehensive presentation of the field of intuitionistic modal logic(s) that was starting to emerge and equipped it with a general proof-theoretic framework based on labelled deduction. One question that remained open since then was the finite-model property and decidability of transitive intutionistic modal logics. By extending Simpson's original labelled framework and turning on their heads the traditional proof-theoretic decision procedures, we recently showed that the intuitionistic modal logic of transitive reflexive frames (IS4) is indeed decidable and satisfies the finite model property.
In this talk, I will give an introduction to the power of labelled deduction for intuitionistic modal logics and review some recent applications, including the decidability of IS4, and covering some joint works with Das, van der Giessen, Girlando, Kuznets, Morales and Straßburger.
Travel and Contact Information
Frank Adams 1 (and zoom, link in email)
Alan Turing Building