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Decision Problems for Timed Automata: A Survey

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Formal Methods for the Design of Real-Time Systems (SFM-RT 2004)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3185))

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Abstract

Finite automata and regular languages have been useful in a wide variety of problems in computing, communication and control, including formal modeling and verification. Traditional automata do not admit an explicit modeling of time, and consequently, timed automata [2] were introduced as a formal notation to model the behavior of real-time systems. Timed automata accept timed languages consisting of sequences of events tagged with their occurrence times. Over the years, the formalism has been extensively studied leading to many results establishing connections to circuits and logic, and much progress has been made in developing verification algorithms, heuristics, and tools. This paper provides a survey of the theoretical results concerning decision problems of reachability, language inclusion and language equivalence for timed automata and its variants, with some new proofs and comparisons. We conclude with a discussion of some open problems.

This research was partially supported by NSF award ITR/SY 0121431.

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Authors and Affiliations

  1. University of Pennsylvania,  

    Rajeev Alur & P. Madhusudan

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  1. Rajeev Alur
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  2. P. Madhusudan
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Editors and Affiliations

  1. Istituto di Scienze e Tecnologie dell’Informazione, Università di Urbino “Carlo Bo”, Italy

    Marco Bernardo

  2. Dipartimento di Matematica ed Informatica, University of Camerino, Via Madonna delle Carceri 9, 62032, Camerino, Italy

    Flavio Corradini

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Alur, R., Madhusudan, P. (2004). Decision Problems for Timed Automata: A Survey. In: Bernardo, M., Corradini, F. (eds) Formal Methods for the Design of Real-Time Systems. SFM-RT 2004. Lecture Notes in Computer Science, vol 3185. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30080-9_1

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  • DOI: https://doi.org/10.1007/978-3-540-30080-9_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23068-7

  • Online ISBN: 978-3-540-30080-9

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