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25 April 2018, Algebra|Coalgebra Seminar, Sam van Gool
Speaker: Sam van Gool
Title: Uniform interpolation via an open mapping theorem for Esakia spaces
Date: Wednesday 25 April 2018
Time: 16:00-17:00
Location: Room F1.15, ILLC, Science Park 107, Amsterdam
We prove an open mapping theorem for the topological spaces dual to finitely presented Heyting algebras. This yields in particular a short, self-contained semantic proof of the uniform interpolation theorem for intuitionistic propositional logic, first proved by Pitts in 1992. Our proof is based on the methods of Ghilardi & Zawadowski. However, our proof does not require sheaves nor games, only basic duality theory for Heyting algebras.
For more information, see
http://events.illc.uva.nl/alg-coalg
or contact Frederik Lauridsen at f.m.lauridsen at uva.nl.
Please note that this newsitem has been archived, and may contain outdated information or links.