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Folk Theorems on the Determinization and Minimization of Timed Automata

  • Stavros Tripakis
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2791)

Abstract

Timed automata are known not to be complementable or determinizable. Natural questions are, then, could we check whether a given TA enjoys these properties? These problems are not algorithmically solvable, if we require not just a yes/no answer, but also a witness. Minimizing the “resources” of a TA (number of clocks or size of constants) are also unsolvable problems. Proofs are provided as simple reductions from the universality problem. These proofs are not applicable to the corresponding decision problems, the decidability of which remains open.

Keywords

Fault Diagnosis Discrete State Time Automaton Folk Theorem Time Automaton 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Stavros Tripakis
    • 1
  1. 1.VERIMAG Centre EquationGièresFrance

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