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Synchronized Recursive Timed Automata

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Logic for Programming, Artificial Intelligence, and Reasoning (LPAR 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9450))

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Abstract

We present synchronized recursive timed automata (SRTA) that extend timed automata with a stack. Each frame of a stack is composed of rational-valued clocks, and SRTA synchronously increase the values of all the clocks within the stack. Our main contribution is to show that the reachability problem of SRTA is ExpTime-complete. This decidability contrasts with the undecidability for recursive timed automata (RTA) introduced by Trivedi and Wojtczak, and Benerecetti et al. Unlike SRTA, the frames below the top are frozen during the computation at the top frame in RTA.

Our construction of the decidability proof is based on the region abstraction for dense timed pushdown automata (TPDA) of Abdulla et al. to accommodate together diagonal constraints and fractional constraints of SRTA. Since SRTA can be seen as an extension of TPDA with diagonal and fractional constraints, our result enlarges the decidable class of pushdown-extensions of timed automata.

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Acknowledgement

This work was supported by JSPS KAKENHI Grant Number 15J01843 and 15K00087.

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Authors and Affiliations

  1. University of Tsukuba, Tsukuba, Japan

    Yuya Uezato

  2. Tokyo Institute of Technology, Tokyo, Japan

    Yasuhiko Minamide

Authors
  1. Yuya Uezato
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  2. Yasuhiko Minamide
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Corresponding author

Correspondence to Yuya Uezato .

Editor information

Editors and Affiliations

  1. New York University, New York, New York, USA

    Martin Davis

  2. University of the South Pacific, Suva, Fiji

    Ansgar Fehnker

  3. Macquarie University, Sydney, New South Wales, Australia

    Annabelle McIver

  4. The University of Manchester, Manchester, United Kingdom

    Andrei Voronkov

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Uezato, Y., Minamide, Y. (2015). Synchronized Recursive Timed Automata. In: Davis, M., Fehnker, A., McIver, A., Voronkov, A. (eds) Logic for Programming, Artificial Intelligence, and Reasoning. LPAR 2015. Lecture Notes in Computer Science(), vol 9450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48899-7_18

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  • DOI: https://doi.org/10.1007/978-3-662-48899-7_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-48898-0

  • Online ISBN: 978-3-662-48899-7

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