A Kleene theorem for timed automata

  • Authors:
  • E. Asarin;P. Caspi;O. Maler

  • Affiliations:
  • -;-;-

  • Venue:
  • LICS '97 Proceedings of the 12th Annual IEEE Symposium on Logic in Computer Science
  • Year:
  • 1997

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Abstract

In this paper we define timed regular expressions, and extension of regular expressions for specifying sets of dense-time discrete-valued signals. We show that this formalism is equivalent in expressive power to the timed automata of Alur and Dill by providing a translation procedure from expressions to automata and vice versa. the result is extended to /spl omega/-regular expressions (Buchi's theorem).