Deciding Nondeterministic Hierarchy of Deterministic Tree Automata

  • Authors:
  • Damian Niwiński;Igor Walukiewicz

  • Affiliations:
  • Institute of Informatics, Warsaw University, Warsaw, Poland;LaBRI, University of Bordeaux I, Bordeaux, France

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2005

Quantified Score

Hi-index 0.00

Visualization

Abstract

We show an algorithm which, for a given deterministic parity automaton on infinite trees, computes the minimal Mostowski (or Rabin) index of a nondeterministic automaton recognizing the same language. This extends a previous result of Urbanski on deciding if a given deterministic Rabin automaton is equivalent to a nondeterministic Buchi automaton. The algorithm runs in the time of verifying the non-emptiness of nondeterministic parity automata.