joint work with Michał Pilipczuk

Speaker(s)

Mikołaj Bojańczyk

Affiliation

Uniwersytet Warszawski

Date

March 16, 2016, 2:15 p.m.

Room

room 5870

Title in Polish

On the Courcelle Conjecture

Seminar

Seminar Automata Theory

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We prove a conjecture of Courcelle, which states that a graph property is definable in mso with modular counting predicates on graphs of constant treewidth if, and only if it is recognizable in the following sense: constant-width tree decompositions of graphs satisfying the property can be recognized by tree automata.
While the forward implication is a classic fact known as Courcelle's theorem, the converse direction remained open.

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