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Suitability of the propositional temporal logic to express properties of real-time systems

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STACS 92 (STACS 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 577))

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Abstract

We claim in this paper that the Propositional Temporal Logic (PTL) is an adequate logic to specify a reactive system. To prove this affirmation, we present abbreviations which allow the expression of the most important real-time properties and some other important requirements. We show that they are easy to use and that the induced complexity cost is the same as the complexity of the other real-time logics. Finally, we prove that many real-time logics already published have exactly the same expressive power as PTL.

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References

  1. R. Alur and T. A. Henzinger A really temporal logic IEEE Symp. on Found. of Comp. Sci., pages 164–169, 1989.

    Google Scholar 

  2. R. Alur and T. A. Henzinger Real-time logics: complexity and expressiveness IEEE Logic in Comp. Sci., pages 390–401, 1990.

    Google Scholar 

  3. R. Alur, C. Courcoubetis and D. Dill Model-checking for real-time systems IEEE Logic in Comp. Sci., pages 414–425, 1990.

    Google Scholar 

  4. E. A. Emerson and J. Y. Halpern “Sometimes” and “not never” revisited: on branching versus linear time temporal logic Journal of the ACM, 33(1):151–178, January 1986.

    Google Scholar 

  5. E. Harel, O. Lichtenstein, and A. Pnueli Explicit clock temporal logic IEEE Logic in Comp. Sci., pages 402–413, 1990.

    Google Scholar 

  6. T. A. Henzinger, Z. Manna and A. Pnueli Temporal proof methodologies for real-time systems ACM Princ. of Distr. Comp., pages 353–366, 1990.

    Google Scholar 

  7. F. Jahanian and A. K. Mok Safety analysis of timing properties in real-time systems IEEE Trans. on Software Engineering, 12(9):890–904, September 1986.

    Google Scholar 

  8. R. Koymans Specifying real-time properties with metric temporal logic Journal of Real-Time Systems, 1(2):255–299, 1990.

    Google Scholar 

  9. H. Lewis A logic of concrete time intervals IEEE Logic in Comp. Sci., pages 414–425, 1990.

    Google Scholar 

  10. Z. Manna and A. Pnueli A hierarchy of temporal properties ACM Princ. of Distr. Comp., pages 353–366, 1990.

    Google Scholar 

  11. J. S. Ostroff Real-time temporal logic decision procedures IEEE Real Time Syst. Symp., pages 92–101, 1989.

    Google Scholar 

  12. D. Pilaud and N. Halbwachs From a synchronous declarative language to a temporal logic dealing with multiform time Formal Techniques in Real-Time and Fault-Tolerant Systems 1988, LNCS 331, pages 99–110, 1988.

    Google Scholar 

  13. A. Pnueli and E. Harel Applications of temporal logic to the specification of real-time systems Formal Techniques in Real-Time and Fault-Tolerant Systems 1988, LNCS 331, pages 84–98, 1988.

    Google Scholar 

  14. A. P. Sistla and E. M. Clarke The complexity of propositional linear temporal logics Journal of the ACM, 32(3):733–749, July 1985.

    Google Scholar 

  15. P. Wolper Temporal logic can be more expressive Information and Control, (56):72–99, 1983.

    Google Scholar 

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Alain Finkel Matthias Jantzen

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© 1992 Springer-Verlag Berlin Heidelberg

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Nassor, E., Vidal-Naquet, G. (1992). Suitability of the propositional temporal logic to express properties of real-time systems. In: Finkel, A., Jantzen, M. (eds) STACS 92. STACS 1992. Lecture Notes in Computer Science, vol 577. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55210-3_173

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  • DOI: https://doi.org/10.1007/3-540-55210-3_173

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55210-9

  • Online ISBN: 978-3-540-46775-5

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