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From timed automata to logic — and back

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Mathematical Foundations of Computer Science 1995 (MFCS 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 969))

Abstract

In this paper, we define a timed logic L v which is sufficiently expressive that we for any timed automaton may construct a single characteristic L v formula uniquely characterizing the automaton up to timed bisimilarity.

Also, we prove decidability of the satisfiability problem for L v with respect to given bounds on the number of clocks and constants of the timed automata to be constructed.

This work has been supported by the European Communities under CONCUR2, BRA 7166.

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Author information

Authors and Affiliations

  1. Basic Research in Computer Science, Aalborg Univ., Denmark

    François Laroussinie & Kim G. Larsen

  2. Aachen Univ., Germany

    Carsten Weise

Authors
  1. François Laroussinie
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  2. Kim G. Larsen
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  3. Carsten Weise
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Editor information

Jiří Wiedermann Petr Hájek

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© 1995 Springer-Verlag Berlin Heidelberg

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Laroussinie, F., Larsen, K.G., Weise, C. (1995). From timed automata to logic — and back. In: Wiedermann, J., Hájek, P. (eds) Mathematical Foundations of Computer Science 1995. MFCS 1995. Lecture Notes in Computer Science, vol 969. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60246-1_158

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  • DOI: https://doi.org/10.1007/3-540-60246-1_158

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60246-0

  • Online ISBN: 978-3-540-44768-9

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