An Efficient Algorithm for Minimizing Real-Time Transition Systems

  • Authors:
  • Mihalis Yannakakis;David Lee

  • Affiliations:
  • Bell Laboratories, Murray Hill, NJ 07974. E-mail: mihalis@research.bell-labs.com, lee@research.bell-labs.com;Bell Laboratories, Murray Hill, NJ 07974. E-mail: mihalis@research.bell-labs.com, lee@research.bell-labs.com

  • Venue:
  • Formal Methods in System Design - Special issue on computer aided verification (CAV 93)
  • Year:
  • 1997

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Abstract

We address the problem of performing simultaneously reachabilityanalysis and minimization of real-time transition systems representedby timed automata, i.e., automata extended with afinite set of clock variables. The transitions of the automaton maydepend on the values of the clocks and may reset some of the clocks.An efficient algorithm is presented for minimizing a system withrespect to a given initial partition that respects the enablingconditions of the transitions of the timed automaton. Our algorithmgenerates the portion of the minimized system that is reachable froma given initial configuration in time polynomial in the input and thesize of the minimal reachable system.