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Hybrid diagrams: A deductive-algorithmic approach to hybrid system verification

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STACS 97 (STACS 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1200))

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Abstract

We present a methodology for the verification of temporal properties of hybrid systems. The methodology is based on the deductive transformation of hybrid diagrams, which represent the system and its properties, and which can be algorithmically checked against the specification. This check either gives a positive answer to the verification problem, or provides guidance for the further transformation of the diagrams. The resulting methodology is complete for quantifier-free linear-time temporal logic.

The research was supported in part by the National Science Foundation under grant CCR-9527927, by the Defense Advanced Research Projects Agency under contract NAG2-892, by ARO under grant DAAH04-95-1-0317, and by ARO under the MURI grant DAAH04-96-1-0341.

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References

  1. R. Alur, C. Courcoubebetis, N. Halbwachs, T.A. Henzinger, P.-H. Ho, X. Nicollin, A. Olivero, J. Sifakis, and S. Yovine. The algorithmic analysis of hybrid systems. Theor. Comp. Sci., 138(1):3–34, 1995.

    Article  Google Scholar 

  2. R. Alur, C. Courcoubetis, T. Henzinger, and P. Ho. Hybrid automata: An algorithmic approach to the specification and analysis of hybrid systems. In Workshop on Hybrid Systems, volume 736 of Lect. Notes in Comp. Sci., pages 209–229. Springer-Verlag, 1993.

    Google Scholar 

  3. Z. Chaochen, A.P. Ravn, and M.R. Hansen. An extended duration calculus for hybrid real-time systems. In Hybrid Systems, volume 736 of Lect. Notes in Comp. Sci., pages 36–59. Springer-Verlag, 1993.

    Google Scholar 

  4. L. de Alfaro and Z. Manna. Temporal verification by diagram transformations. In Computer Aided Verification, volume 1102 of Lect. Notes in Comp. Sci., pages 288–299. Springer-Verlag, 1996.

    Google Scholar 

  5. A. Kapur, T.A. Henzinger, Z. Manna, and A. Pnueli. Proving safety properties of hybrid systems. In FTRTFT'94, volume 863 of Lect. Notes in Comp. Sci., pages 431–454. Springer-Verlag, 1994.

    Google Scholar 

  6. Y. Kesten, Z. Manna, and A. Pnueli. Verifying clocked transition systems. In Hybrid Systems III, volume 1066 of Lect. Notes in Comp. Sci., pages 13–40. Springer-Verlag, 1996.

    Google Scholar 

  7. L. Lamport. Hybrid systems in TLA+. In Hybrid Systems, volume 736 of Lect. Notes in Comp. Sci., pages 77–102. Springer-Verlag, 1993.

    Google Scholar 

  8. N.A. Lynch and H. Attiya. Using mappings to prove timing properties. Distributed Computing, 6:121–139, 1992.

    Google Scholar 

  9. O. Maler, Z. Manna, and A. Pnueli. From timed to hybrid systems. In Proc. of the REX Workshop “Real-Time: Theory in Practice”, volume 600 of Lect. Notes in Comp. Sci., pages 447–484. Springer-Verlag, 1992.

    Google Scholar 

  10. Z. Manna and A. Pnueli. Completing the temporal picture. Theor. Comp. Sci., 83(1):97–130, 1991.

    Article  Google Scholar 

  11. Z. Manna and A. Pnueli. Models for reactivity. Acta Informatica, 30:609–678, 1993.

    Article  Google Scholar 

  12. S. Safra. On the complexity of ω-automata. In Proc. 29th IEEE Symp. Found. of Comp. Sci., 1988.

    Google Scholar 

  13. H.B. Sipma, T.E. Uribe, and Z. Manna. Deductive model checking. In Computer Aided Verification, volume 1102, pages 208–219. Springer-Verlag, 1996.

    Google Scholar 

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Rüdiger Reischuk Michel Morvan

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© 1997 Springer-Verlag Berlin Heidelberg

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de Alfaro, L., Kapur, A., Manna, Z. (1997). Hybrid diagrams: A deductive-algorithmic approach to hybrid system verification. In: Reischuk, R., Morvan, M. (eds) STACS 97. STACS 1997. Lecture Notes in Computer Science, vol 1200. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0023456

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  • DOI: https://doi.org/10.1007/BFb0023456

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62616-9

  • Online ISBN: 978-3-540-68342-1

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