Progress measures for complementation of &ohgr;-automata with applications to temporal logic

  • Authors:
  • Nils Klarlund

  • Affiliations:
  • -

  • Venue:
  • SFCS '91 Proceedings of the 32nd annual symposium on Foundations of computer science
  • Year:
  • 1991

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Abstract

A new approach to complementing omega -automata, which are finite-state automata defining languages of infinite words, is given. Instead of using usual combinatorial or algebraic properties of transition relations, it is shown that a graph-theoretic approach based on the notion of progress measures is a potent tool for complementing omega -automata. Progress measures are applied to the classical problem of complementing Buchi automata, and a simple method is obtained. The technique applies to Streett automata, for which an optimal complementation method is also obtained. As a consequence, it is seen that the powerful temporal logic ETLs is much more tractable than previously thought.