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Multicycles and RTL logic satisfiability

  • Odile Millet
Session 2A
Part of the Lecture Notes in Computer Science book series (LNCS, volume 571)

Abstract

The Jahanian-Mok semidecision procedure for safety analysis of timing properties can be expressed in RTL (Real-Time Logic). We improve this procedure by unifying variables and terms containing a Skolem function. In order to guarantee termination of the potentially infinite process, we introduce the notion of a multicycle, that represents an infinite number of cycles. When the class contains at least one positive cycle, the resolution algorithm operates through the multicycle only a finite number of times. The result is an algorithm that applies to a larger class of ∃∀-formulas and operates with the same efficiency as the Jahanian-Mok procedure.

Index terms

real-time logic real-time specification Skolem functions resolution safety analysis 

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References

  1. [GUR]
    Y. GUREVICH, The Decision problem for standard classes, The Journal of symbolic Logic, Vol.41, N∘2, 1976, pp. 460–463.Google Scholar
  2. [J.M.1]
    F. JAHANIAN and A.K. MOK, Safety analysis of timing properties in real-time systems, IEEE Transactions on Software Engineering, Vol.SE-12, N∘9, 1986, pp.890–904.Google Scholar
  3. [J.M.2]
    F. JAHANIAN and A.K. MOK, A graph-theoretic approach for timing analysis and its implementation, IEEE Transactions on Computers. Vol.C-36, N∘8, 1987, pp.961–975.Google Scholar
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    J.-F.PABION, Communication manuscrit, 1989.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Odile Millet
    • 1
  1. 1.LIP, Ecole Normale Supérieure de LyonLyon Cedex 07France

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