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Forward and backward simulations for timing-based systems

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Real-Time: Theory in Practice (REX 1991)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 600))

Abstract

A general automaton model for timing-based systems is presented and is used as the context for developing a variety of simulation proof techniques for such systems. As a first step, a comprehensive overview of simulation techniques for simple untimed automata is given. In particular, soundness and completeness results for (1) refinements, (2) forward and backward simulations, (3) forward-backward and backward-forward simulations, and (4) history and prophecy relations are given. History and prophecy relations are new and are abstractions of the history variables of Owicki and Gries and the prophecy variables of Abadi and Lamport, respectively. As a subsequent step, it is shown how most of the results for untimed automata can be carried over to the setting of timed automata. In fact, many of the results for the timed case are obtained as consequences of the analogous results for the untimed case.

This work was supported by ONR contracts N00014-85-K-0168 and N00014-91-J-1988, by NSF grant CCR-8915206, and by DARPA contract N00014-89-J-1988.

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Authors and Affiliations

  1. MIT Laboratory for Computer Science, 02139, Cambridge, MA, USA

    Nancy Lynch & Frits Vaandrager

Authors
  1. Nancy Lynch
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  2. Frits Vaandrager
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Editor information

J. W. de Bakker C. Huizing W. P. de Roever G. Rozenberg

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© 1992 Springer-Verlag Berlin Heidelberg

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Lynch, N., Vaandrager, F. (1992). Forward and backward simulations for timing-based systems. In: de Bakker, J.W., Huizing, C., de Roever, W.P., Rozenberg, G. (eds) Real-Time: Theory in Practice. REX 1991. Lecture Notes in Computer Science, vol 600. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0032002

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  • DOI: https://doi.org/10.1007/BFb0032002

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55564-3

  • Online ISBN: 978-3-540-47218-6

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