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Models for reactivity

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Abstract

A hierarchy of models that capture realistic aspects of reactive, real-time, and hybrid systems is introduced. On the most abstract level, the qualitative (non-quantitative) model ofreactive systems captures the temporal precedence aspect of time. A more refined model is that ofreal-time systems, which represents the metric aspect of time. The third and most detailed model is that ofhybrid systems, which allows the incorporation ofcontinuous components into a reactive system.

For each of the three levels, we present a computational model, a requirement specification language based on extensions of temporal logic, system description languages based on Statecharts and a textual programming language, proof rules for proving validity of properties, and examples of such proofs.

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Authors and Affiliations

  1. Department of Computer Science, Stanford University, 94305, Stanford, CA, USA

    Zohar Manna

  2. Department of Applied Mathematics and Computer Science, Weizmann Institute of Science, Rehovot, Israel

    Amir Pnueli

Authors
  1. Zohar Manna
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  2. Amir Pnueli
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Additional information

This research was supported in part by the National Science Foundation under grant CCR-92-23226, by the Defense Advanced Research Projects Agency under contract NAG2-703, by the United States Air Force Office of Scientific Research under contract F49620-93-1-0139, by the European Community ESPRIT Basic Research Action Project 6021 (REACT), and by the France-Israel project for cooperation in Computer Science.

An extended abstract of this paper appeared in [MP92], while a preliminary version of Section 4 appeared in [MP93].

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Manna, Z., Pnueli, A. Models for reactivity. Acta Informatica 30, 609–678 (1993). https://doi.org/10.1007/BF01191722

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