A calculus for timed automata

Extended abstract
  • Pedro R. D'Argenio
  • Ed Brinksma
Selected Presentations State Charts
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1135)


A language for representing timed automata is introduced. Its semantics is defined in terms of timed automata. This language is complete in the sense that any timed automaton can be represented by a term in the language. We also define a direct operational semantics for the language in terms of (timed) transition systems. This is proven to be equivalent (or, more precisely, timed bisimilar) to the interpretation in terms of timed automata.

In addition, a set of axioms is given that is shown to be sound for timed bisimulation. Finally, we introduce several features including the parallel composition and derived time operations like wait, time-out and urgency. We conclude with an example and show that we can eliminate non-reachable states using algebraic techniques.


Parallel Operator Equational Theory Parallel Composition Process Algebra Conservative Extension 
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 1996

Authors and Affiliations

  • Pedro R. D'Argenio
    • 1
  • Ed Brinksma
    • 1
  1. 1.Dept. of Computer ScienceUniversity of TwenteAE EnschedeThe Netherlands

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