State Space Reductions for Alternating Büchi Automata

  • Authors:
  • Carsten Fritz;Thomas Wilke

  • Affiliations:
  • -;-

  • Venue:
  • FST TCS '02 Proceedings of the 22nd Conference Kanpur on Foundations of Software Technology and Theoretical Computer Science
  • Year:
  • 2002

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Abstract

Quotienting by simulation equivalences is a well-established technique for reducing the size of nondeterministic B眉chi automata. We adapt this technique to alternating B眉chi automata. To this end we suggest two new quotients, namely minimax and semi-elective quotients, prove that they preserve the recognized languages, and show that computing them is not more difficult than computing quotients for nondeterministic B眉chi automata. We explain the merits of of our quotienting procedures with respect to converting alternating B眉chi automata into nondeterministic ones.