Higher-order recursion schemes are an expressive formalism used to define languages of possibly infinite ranked trees.

Speaker(s)

David Barozzini

Affiliation

Uniwersytet Warszawski

Date

April 8, 2020, 2:15 p.m.

Information about the event

Online seminar

Seminar

Seminar Automata Theory

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Higher-order recursion schemes are an expressive formalism used to define languages of possibly infinite ranked trees.

We prove, under a syntactical constraint called safety, decidability of the model-checking problem for recursion schemes against properties defined by alternating B-automata, an extension of alternating parity automata for infinite trees with a boundedness acceptance condition.
We then exploit this result to show how to compute downward closures of languages of finite trees recognized by safe recursion schemes.

This talk is based on a joint work with Lorenzo Clemente, Thomas Colcombet and Paweł Parys.

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