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On the separation property of regular languages

Prelegent(ci)
Henryk Michalewski
Afiliacja
Uniwersytet Warszawski
Termin
2 lutego 2011 14:15
Pokój
p. 5870
Seminarium
Seminarium „Teoria automatów”

We will show that separation property fails for the regular languages
of index (1,3) on infinite trees. More specifically, we will
construct two disjoint tree languages B_1 and B_2 of index (1,3) not
separable by any set C such that both C and its complement are
recognizable by an automaton of index (1,3).

This theorem extends by one level the previous result obtained jointly
with Sz. Hummel on the inseparability of co-Buchi languages of
infinite trees.