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A Nonarchimedian Discretization for Timed Languages

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Języki publikacji
EN
Abstrakty
EN
We give a discretization of behaviors of timed automata, in which timed languages are represented as sets of words containing action symbols, a clock tick symbol 1, and two delay symbols δ (negative delay) and δ+ (positive delay). Unlike the region construction, our discretization commutes with intersection. We show that discretizations of timed automata are, in general, context-sensitive languages over Σ ∪ {1, δ+, δ}, and give a class of counter automata that accepts exactly the class of languages that are discretizations of timed automata, and show that its emptiness problem is decidable.
Wydawca
Rocznik
Strony
389--407
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
  • Université Paris-Est, LACL (EA 4219), UPEC, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France
Bibliografia
  • [1] Alur, R., Dill, D.: A theory of timed automata, Theoretical Computer Science, 126, 1994, 183–235.
  • [2] Asarin, E.: Challenges in timed languages, Bulletin of EATCS, 83, 2004, 106–120.
  • [3] Asarin, E., Caspi, P., Maler, O.: Timed regular expressions, Journal of the ACM, 49, 2002, 172–206.
  • [4] Asarin, E., Dima, C.: Balanced timed regular expressions, Electronic Notes in Theoretical Computer Science, 68, 2002, 1–18.
  • [5] Beauquier, D.: Pumping Lemmas for Timed Automata, Proceedings of the First International Conference on Foundations of Software Science and Computation Structure (FoSSaCS’98), LNCS 1378, 1998, 81–94.
  • [6] Bouyer, P., Petit, A.: Decomposition and composition of timed automata, Proceedings of 26th International Colloquium on Automata, Languages and Programming (ICALP’99), LNCS 1644, 1999, 210–219.
  • [7] Bouyer, P., Petit, A.: A Kleene/Büchi-like theorem for clock languages, Journal of Automata, Languages and Combinatorics, 7(2), 2002, 167–186.
  • [8] Bouyer, P., Petit, A., Th´erien, D.: An algebraic characterization of data and timed languages, Proceedings of the 12th International Conference on Concurrency Theory (CONCUR’2001), LNCS 2154, 2001, 248–261.
  • [9] Dima, C.: Th´eorie alg´ebrique des langages formels temps r´eel, Ph.D. Thesis, Universit´e Joseph Fourier Grenoble, France, 2001.
  • [10] Dima, C.: Computing reachability relations in timed automata, Proceedings of the 17th IEEE Symposium on Logic in Computer Science (LICS’02), 2002, 177–186.
  • [11] Dima, C.: A class of automata for computing reachability relations in timed systems, in: Proceedings of the NATO Advanced Research Workshop on Verification of Infinite State Systems with Applications to Security (VISSAS’05) (E. Clarke, M. Minea, F. L. T¸ iplea, Eds.), NATO ARW Series, IOS Press, 2006, 69–89.
  • [12] D’Souza, D., Thiagarajan, P. S.: Product Interval Automata: A Subclass of Timed Automata, Proceedings of the 19th Conference on the Foundations of Software Technology and Theoretical Computer Science FSTTCS’99), 1738, 1999, 60–71.
  • [13] Herrmann, P.: Timed Automata and Recognizability, Information Processing Letters, 65, 1998, 313–318.
  • [14] Hopcroft, J., Ullman, J.: Introduction to Automata Theory, Languages and Computation, Addison-Wesley/Narosa Publishing House, 1992.
  • [15] Larsen, K. G., Pettersson, P., Yi,W.: UPPAAL: Status & Developments, Proceedings of the 9th International Conference on Computer Aided Verification (CAV’97), LNCS 1254, 1997, 456–459.
  • [16] Yovine, S.: Model-checking timed automata, Lectures on Embedded Systems (G. Rozenberg, F. Vaandrager, Eds.), LNCS 1494, 1998, 114–152.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ff3edc53-6882-4858-adb2-65782a96ea70
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