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Degrees of Ambiguity of Büchi Tree Automata

Authors Alexander Rabinovich , Doron Tiferet

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Subject Classification

ACM Subject Classification
  • Theory of computation → Automata over infinite objects
Keywords
  • automata on infinite trees
  • ambiguous automata

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Abstract

An automaton is unambiguous if for every input it has at most one accepting computation. An automaton is finitely (respectively, countably) ambiguous if for every input it has at most finitely (respectively, countably) many accepting computations. An automaton is boundedly ambiguous if there is k in N, such that for every input it has at most k accepting computations. We consider nondeterministic Büchi automata (NBA) over infinite trees and prove that it is decidable in polynomial time, whether an automaton is unambiguous, boundedly ambiguous, finitely ambiguous, or countably ambiguous.

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Alexander Rabinovich and Doron Tiferet. Degrees of Ambiguity of Büchi Tree Automata. In 39th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 150, pp. 50:1-50:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019) https://doi.org/10.4230/LIPIcs.FSTTCS.2019.50

Author Details

Alexander Rabinovich
  • Tel Aviv University, Israel
Doron Tiferet
  • Tel Aviv University, Israel

Funding

Supported in part by Len Blavatnik and the Blavatnik Family foundation.

References

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