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Martin’s proof of Borel determinacy

Speaker(s)
Hugo Gimbert
Affiliation
CNRS, LaBRI, Université de Bordeaux
Date
Jan. 25, 2023, 2:15 p.m.
Room
room 5050
Seminar
Seminar Automata Theory

Donald Martin established Borel determinacy in 1975: in every Gale-Stewart game with a Borel winning condition, either player I or player II has a winning strategy. We present Martin’s proof under a different perspective (bottom-up instead of top-down), in the special case where the winning condition belongs to the finite Borel hierarchy.