Weighted muller tree automata and weighted logics

  • Authors:
  • George Rahonis

  • Affiliations:
  • Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece

  • Venue:
  • Journal of Automata, Languages and Combinatorics
  • Year:
  • 2007

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Abstract

We introduce weighted Muller tree automata, over totally commutative complete semirings, acting on infinite trees. We show that their behaviours coincide with the semantics of weighted restricted MSO-sentenees and the semantics of weighted incomplete universal MSO-sentences, provided that the underlying semiring is idempotent.