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Event Clock Automata: From Theory to Practice

  • Gilles Geeraerts
  • Jean-François Raskin
  • Nathalie Sznajder
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6919)

Abstract

Event clock automata (ECA ) are a model for timed languages that has been introduced by Alur, Fix and Henzinger as an alternative to timed automata, with better theoretical properties (for instance, ECA are determinizable while timed automata are not). In this paper, we revisit and extend the theory of ECA. We first prove that no finite time abstract language equivalence exists for ECA, thereby disproving a claim in the original work on ECA. This means in particular that regions do not form a time abstract bisimulation. Nevertheless, we show that regions can still be used to build a finite automaton recognizing the untimed language of an ECA . Then, we extend the classical notions of zones and DBMs to let them handle event clocks instead of plain clocks (as in timed automata) by introducing event zones and Event DBMs (EDBMs). We discuss algorithms to handle event zones represented as EDBMs, as well as (semi-) algorithms based on EDBMs to decide language emptiness of ECA.

Keywords

Normal Form Widening Operator Clock Constraint Initial Valuation Pushdown 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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References

  1. 1.
    Alur, R.: Timed automata. In: Halbwachs, N., Peled, D.A. (eds.) CAV 1999. LNCS, vol. 1633, pp. 8–22. Springer, Heidelberg (1999)CrossRefGoogle Scholar
  2. 2.
    Alur, R., Dill, D.: A Theory of Timed Automata. Theoretical Computer Science 126(2), 183–236 (1994)MathSciNetCrossRefzbMATHGoogle Scholar
  3. 3.
    Alur, R., Fix, L., Henzinger, T.A.: Event-clock automata: a determinizable class of timed automata. Theoretical Computer Science 211(1-2), 253–273 (1999)MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    Behrmann, G., David, A., Larsen, K.G., Håkansson, J., Pettersson, P., Yi, W., Hendriks, M.: Uppaal 4.0. In: Proceedings of QEST 2006, pp. 125–126. IEEE Computer Society, Los Alamitos (2006)Google Scholar
  5. 5.
    Bellman, R.: Dynamic Programming. Princeton university press, Princeton (1957)zbMATHGoogle Scholar
  6. 6.
    Bouyer, P.: Forward analysis of updatable timed automata. Formal Methods in System Design 24(3), 281–320 (2004)MathSciNetCrossRefzbMATHGoogle Scholar
  7. 7.
    Bozga, M., Daws, C., Maler, O., Olivero, A., Tripakis, S., Yovine, S.: Kronos: A model-checking tool for real-time systems. In: Vardi, M.Y. (ed.) CAV 1998. LNCS, vol. 1427, pp. 546–550. Springer, Heidelberg (1998)CrossRefGoogle Scholar
  8. 8.
    Daws, C., Tripakis, S.: Model checking of real-time reachability properties using abstractions. In: Steffen, B. (ed.) TACAS 1998. LNCS, vol. 1384, pp. 313–329. Springer, Heidelberg (1998)CrossRefGoogle Scholar
  9. 9.
    Di Giampaolo, B., Geeraerts, G., Raskin, J., Sznajder, N.: Safraless procedures for timed specifications. In: Chatterjee, K., Henzinger, T.A. (eds.) FORMATS 2010. LNCS, vol. 6246, pp. 2–22. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  10. 10.
    Dill, D.L.: Timing assumptions and verification of finite-state concurrent systems. In: Sifakis, J. (ed.) CAV 1989. LNCS, vol. 407, pp. 197–212. Springer, Heidelberg (1990)CrossRefGoogle Scholar
  11. 11.
    Dima, C.: Kleene theorems for event-clock automata. In: Ciobanu, G., Păun, G. (eds.) FCT 1999. LNCS, vol. 1684, pp. 215–225. Springer, Heidelberg (1999)CrossRefGoogle Scholar
  12. 12.
    D’Souza, D., Tabareau, N.: On timed automata with input-determined guards. In: Lakhnech, Y., Yovine, S. (eds.) FORMATS 2004 and FTRTFT 2004. LNCS, vol. 3253, pp. 68–83. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  13. 13.
    Geeraerts, G., Raskin, J.-F., Sznajder, N.: Event-Clock Automata: from Theory to Practice. Technical report., http://arxiv.org/abs/1107.4138
  14. 14.
    Raskin, J.-F., Schobbens, P.-Y.: The logic of event clocks: decidability, complexity and expressiveness. Automatica 34(3), 247–282 (1998)MathSciNetzbMATHGoogle Scholar
  15. 15.
    Sorea, M.: Tempo: A model-checker for event-recording automata. In: Proceedings of RT-TOOLS 2001, Aalborg, Denmark (August 2001)Google Scholar
  16. 16.
    Tang, N., Ogawa, M.: Event-clock visibly pushdown automata. In: Nielsen, M., Kučera, A., Miltersen, P.B., Palamidessi, C., Tůma, P., Valencia, F. (eds.) SOFSEM 2009. LNCS, vol. 5404, pp. 558–569. Springer, Heidelberg (2009)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Gilles Geeraerts
    • 1
  • Jean-François Raskin
    • 1
  • Nathalie Sznajder
    • 2
  1. 1.Département d’InformatiqueUniversité Libre BruxellesBrusselsBelgium
  2. 2.UMR CNRS 7606, LIP6Université Pierre et Marie CurieParisFrance

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