Polynomial Interrupt Timed Automata

  • Béatrice Bérard
  • Serge HaddadEmail author
  • Claudine Picaronny
  • Mohab Safey El Din
  • Mathieu Sassolas
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9328)


Interrupt Timed Automata (ITA) form a subclass of stopwatch automata where reachability and some variants of timed model checking are decidable even in presence of parameters. They are well suited to model and analyze real-time operating systems. Here we extend ITA with polynomial guards and updates, leading to the class of polynomial ITA (polITA). We prove that reachability is decidable in 2EXPTIME on polITA, using an adaptation of the cylindrical decomposition method for the first-order theory of reals. Compared to previous approaches, our procedure handles parameters and clocks in a unified way. We also obtain decidability for the model checking of a timed version of CTL and for reachability in several extensions of polITA.


Model Check Hybrid Automaton Triangular System Reachability Problem 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 International Publishing Switzerland 2015

Authors and Affiliations

  • Béatrice Bérard
    • 1
    • 4
  • Serge Haddad
    • 2
    • 4
    • 5
    Email author
  • Claudine Picaronny
    • 2
    • 4
    • 5
  • Mohab Safey El Din
    • 1
    • 4
    • 5
  • Mathieu Sassolas
    • 3
  1. 1.Sorbonne Université, Université P. & M. Curie, LIP6, ParaSol Project, UMR 7606ParisFrance
  2. 2.École Normale Supérieure de Cachan, LSV, UMR 8643, INRIACachanFrance
  3. 3.Université Paris-Est, LACLCréteilFrance
  4. 4.CNRSCachanFrance
  5. 5.INRIA, Paris-Rocquencourt Center, PolSys ProjectParisFrance

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