A Nonarchimedian Discretization for Timed Languages

  • Cătălin Dima
Conference paper

DOI: 10.1007/978-3-540-40903-8_14

Part of the Lecture Notes in Computer Science book series (LNCS, volume 2791)
Cite this paper as:
Dima C. (2004) A Nonarchimedian Discretization for Timed Languages. In: Larsen K.G., Niebert P. (eds) Formal Modeling and Analysis of Timed Systems. FORMATS 2003. Lecture Notes in Computer Science, vol 2791. Springer, Berlin, Heidelberg

Abstract

We give a new discretization of behaviors of timed automata. In this discretization, 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 automata that equals the class of languages that are discretizations of timed automata, and show that their emptiness problem is decidable.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Cătălin Dima
    • 1
  1. 1.ENSEIRBTalence CedexFrance

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