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Removing All Silent Transitions from Timed Automata

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Formal Modeling and Analysis of Timed Systems (FORMATS 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5813))

Abstract

We show that all ε-transitions can be removed from timed automata if we allow transitions to be labeled with periodic clock constraints and with periodic clock updates. This utilizes a representation of the reachability relation in timed automata in a generalization of Difference Logic with periodic constraints. We also show that periodic updates are necessary for the removal of ε-transitions.

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Author information

Authors and Affiliations

  1. LACL, Université Paris 12, 61 av. du Général de Gaulle, 94010, Créteil Cedex, France

    Cătălin Dima

  2. DSCPI, Università dell’Insubria, Via Carloni 78, 22100, Como, Italy

    Ruggero Lanotte

Authors
  1. Cătălin Dima
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  2. Ruggero Lanotte
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Editor information

Editors and Affiliations

  1. Computing Laboratory, Oxford University, Wolfson Building, Parks Road, OX1 3QD, Oxford, UK

    Joël Ouaknine

  2. Institute for Computing and Information Sciences , Radboud University Nijmegen , P.O. Box 9010, 6500, Nijmegen, GL, The Netherlands

    Frits W. Vaandrager

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Dima, C., Lanotte, R. (2009). Removing All Silent Transitions from Timed Automata. In: Ouaknine, J., Vaandrager, F.W. (eds) Formal Modeling and Analysis of Timed Systems. FORMATS 2009. Lecture Notes in Computer Science, vol 5813. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04368-0_11

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  • DOI: https://doi.org/10.1007/978-3-642-04368-0_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04367-3

  • Online ISBN: 978-3-642-04368-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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