Symbolic implementation of alternating automata

  • Authors:
  • R. Bloem;A. Cimatti;I. Pill;M. Roveri;S. Semprini

  • Affiliations:
  • Graz University of Technology;ITC-irst;Graz University of Technology;ITC-irst;ITC-irst

  • Venue:
  • CIAA'06 Proceedings of the 11th international conference on Implementation and Application of Automata
  • Year:
  • 2006

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Abstract

We show how to convert alternating Büechi automata to symbolic structures, using a variant of Miyano and Hayashi’s construction. We avoid building the nondeterministic equivalent of the alternating automaton, thus save an exponential factor in space. For one-weak automata, Miyano and Hayashi’s approach produces automata that are larger than needed. We show a hybrid approach that produces a smaller nondeterministic automaton if part of the alternating automaton is one weak. We perform a thorough experimental analysis and conclude that the symbolic approach outperforms the explicit one.