Timed Automata Can Always Be Made Implementable

  • Patricia Bouyer
  • Kim G. Larsen
  • Nicolas Markey
  • Ocan Sankur
  • Claus Thrane
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6901)


Timed automata follow a mathematical semantics, which assumes perfect precision and synchrony of clocks. Since this hypothesis does not hold in digital systems, properties proven formally on a timed automaton may be lost at implementation. In order to ensure implementability, several approaches have been considered, corresponding to different hypotheses on the implementation platform. We address two of these: A timed automaton is samplable if its semantics is preserved under a discretization of time; it is robust if its semantics is preserved when all timing constraints are relaxed by some small positive parameter.

We propose a construction which makes timed automata implementable in the above sense: From any timed automaton A, we build a timed automaton A′ that exhibits the same behaviour as A, and moreover A′ is both robust and samplable by construction.


Safety Property Digital Circuit Reachable State Computation Tree Logic Unsafe State 
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 2011

Authors and Affiliations

  • Patricia Bouyer
    • 1
  • Kim G. Larsen
    • 2
  • Nicolas Markey
    • 1
  • Ocan Sankur
    • 1
  • Claus Thrane
    • 2
  1. 1.LSV, CNRS & ENS CachanFrance
  2. 2.Dept. Computer ScienceAalborg UniversityDenmark

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