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A probabilistic logic for infinite trees

Speaker(s)
Mikołaj Bojańczyk
Affiliation
Uniwersytet Warszawski
Date
Dec. 2, 2015, 2:15 p.m.
Room
room 5870
Seminar
Seminar Automata Theory

Consider the following quantifier for infinite trees: “the set of paths π which make φ(π) true has zero probability”.
We consider weak MSO over infinite trees extended with this quantifier.

I would like to report on work in progress, together with Henryk Michalewski and Matteo Mio, where we study the satisfiability problem for this logic. Currently, we believe the problem is decidable.