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MSO + weak U

Prelegent(ci)
Vincent Penelle
Afiliacja
Uniwersytet Warszawski
Termin
5 kwietnia 2017 14:15
Pokój
p. 5870
Seminarium
Seminarium „Teoria automatów”

You all have already been disappointed that MSO+U is undecidable over infinite
words. Today, we will show that weakening U to a predicate U_1(X) holding if
the distance between two consecutive elements of X is unbounded, already leads
to undecidability (and actually, MSO+U_1 is as expressive as MSO+U). A
consequence is that adding a unary predicate UP(X) holding if X is ultimately
periodic to MSO also leads to undecidability.
This is a joint work with Mikolaj, Laure, Bruno and Sreejith.