08/07/2020

Finite Sequentiality of Finitely Ambiguous Max-Plus Tree Automata

Erik Paul

Keywords: Weighted Tree Automata, Max-Plus Tree Automata, Finite Sequentiality, Decidability, Finite Ambiguity

Abstract: We show that the finite sequentiality problem is decidable for finitely ambiguous max-plus tree automata. A max-plus tree automaton is a weighted tree automaton over the max-plus semiring. A max-plus tree automaton is called finitely ambiguous if the number of accepting runs on every tree is bounded by a global constant. The finite sequentiality problem asks whether for a given max-plus tree automaton, there exist finitely many deterministic max-plus tree automata whose pointwise maximum is equivalent to the given automaton.

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