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joint work with Michał Skrzypczak

Speaker(s)
Marcin Przybyłko
Affiliation
Uniwersytet Warszawski, University of New Caledonia
Date
April 20, 2016, 2:15 p.m.
Room
room 5870
Seminar
Seminar Automata Theory

A branching game is a game that produces trees instead of paths. This is achieved by introducing new type of positions -- branching positions -- that split the game into two independent sub-games. M.Mio defined such games and used them in conjunction with parity winning conditions, so called stochastic meta-parity games, to give game semantics to a variant of probabilistic $\mu$-calculus.

In our work, we consider a natural extension of stochastic meta-parity games in which the winning condition is not defined as a parity condition but as the membership to a regular language of trees. We call such games branching games with regular conditions and are interested in their determinacy and computional properties.

In this talk, I will recall the definition of a Branching Game, focus the attention to winning sets that can be represented as regular languages of trees, and discuss both the determinacy and computational complexity of deciding game values.