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Workshop/School/Symposium of the REX Project (Research and Education in Concurrent Systems)

REX 1991: Real-Time: Theory in Practice pp 447–484Cite as

Prom timed to hybrid systems

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

Abstract

We propose a framework for the formal specification and verification of timed and hybrid systems. For timed systems we propose a specification language that refers to time only through age functions which measure the length of the most recent time interval in which a given formula has been continuously true.

We then consider hybrid systems, which are systems consisting of a non-trivial mixture of discrete and continuous components, such as a digital controller that controls a continuous environment. The proposed framework extends the temporal logic approach which has proven useful for the formal analysis of discrete systems such as reactive programs. The new framework consists of a semantic model for hybrid time, the notion of phase transition systems, which extends the formalism of discrete transition systems, an extended version of Statecharts for the specification of hybrid behaviors, and an extended version of temporal logic that enables reasoning about continuous change.

This research was supported in part by the National Science Foundation under grants CCR-89-11512 and CCR-89-13641, by the Defense Advanced Research Projects Agency under contract NAG2-703, by the United States Air Force Office of Scientific Research under contract AFOSR-90-0057, by the France-Israel project for cooperation in Computer Science, and by the European Community ESPRIT Basic Research Action Project 3096 (SPEC).

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Author information

Authors and Affiliations

  1. INRIA/IRISA, Campus de Beaulieu, 35042, Rennes, France

    Oded Maler & Zohar Manna

  2. Department of Computer Science, Stanford University, 94305, Stanford, CA

    Zohar Manna

  3. Department of Applied Mathematics, Weizmann Institute, Rehovot, Israel

    Amir Pnueli

Authors
  1. Oded Maler
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  2. Zohar Manna
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  3. Amir Pnueli
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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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Maler, O., Manna, Z., Pnueli, A. (1992). Prom timed to hybrid 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/BFb0032003

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  • DOI: https://doi.org/10.1007/BFb0032003

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55564-3

  • Online ISBN: 978-3-540-47218-6

  • eBook Packages: Springer Book Archive

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