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The Implementation of Mazurkiewicz Traces in POEM

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Automated Technology for Verification and Analysis (ATVA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 4218))

Abstract

We present the implementation of trace theory in a new model checking tool framework, POEM, that has a strong emphasis on Partial Order Methods. A tree structure is used to store trace systems, which allows sharing common prefixes among traces and therefore reduces memory cost. This structure is easy to extend to incorporate additional features. Two applications are shown in the paper: An extended structure to support a new adequate order for Local First Search, and an acceleration of event zone based state space search for timed automata.

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References

  1. Behrmann, G., David, A., Larsen, K.G., Moeller, O., Pettersson, P., Yi, W.: Uppaal - present and future. In: Proc. of 40th IEEE Conference on Decision and Control, IEEE Computer Society Press, Los Alamitos (2001)

    Google Scholar 

  2. Bornot, S., Morin, R., Niebert, P., Zennou, S.: Black box unfolding with local first search. In: Katoen, J.-P., Stevens, P. (eds.) ETAPS 2002 and TACAS 2002. LNCS, vol. 2280, pp. 386–400. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  3. Bozga, M., Graf, S., Mounier, L.: If-2.0: A validation environment for component-based real-time systems. In: Brinksma, E., Larsen, K.G. (eds.) CAV 2002. LNCS, vol. 2404, pp. 343–348. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  4. Diekert, V., Rozemberg, G. (eds.): The Book of Traces. World Scientific, Singapore (1995)

    Google Scholar 

  5. Esparza, J., Römer, S.: An unfolding algorithm for synchronous products of transition systems. In: Baeten, J.C.M., Mauw, S. (eds.) CONCUR 1999. LNCS, vol. 1664, pp. 2–20. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  6. Esparza, J., Römer, S., Vogler, W.: An improvement of mcmillan’s unfolding algorithm. Formal Methods in System Design 20(3), 285–310 (2002)

    Article  MATH  Google Scholar 

  7. Godefroid, P., Wolper, P.: A partial approach to model checking. In: Logic in Computer Science, pp. 406–415 (1991)

    Google Scholar 

  8. Godefroid, P., Wolper, P.: Using partial orders for the efficient verification of deadlock freedom and safety properties. Formal Methods in System Design 2, 149–164 (1993)

    Article  MATH  Google Scholar 

  9. Holzmann, G.: The Spin Model Checker, Primer and Reference Manual. Addison-Wesley, Reading (2003)

    Google Scholar 

  10. Holzmann, G., Peled, D.: Partial order reduction of the state space. In: First SPIN Workshop, Montrèal, Quebec (1995)

    Google Scholar 

  11. Kurbán, M.E., Niebert, P., Qu, H., Vogler, W.: Stronger reduction criteria for local first search. Technical report (2006) (submitted to ICTAC 2006)

    Google Scholar 

  12. Lugiez, D., Niebert, P., Zennou, S.: A partial order semantics approach to the clock explosion problem of timed automata. Theoretical Computer Science 345(1), 27–59 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  13. McMillan, K.L.: A technique of state space search based on unfolding. Form. Methods Syst. Des. 6(1), 45–65 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  14. Niebert, P., Huhn, M., Zennou, S., Lugiez, D.: Local first search: a new paradigm in partial order reductions. In: Larsen, K.G., Nielsen, M. (eds.) CONCUR 2001. LNCS, vol. 2154, pp. 396–410. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  15. Niebert, P., Qu, H.: Adding invariants to event zone automata. Technical report (2006) (submitted to FORMATS 2006)

    Google Scholar 

  16. Parikh, R.J.: On context-free languages. Journal of the ACM 13(4), 570–581 (1966)

    Article  MATH  MathSciNet  Google Scholar 

  17. Peled, D.: All from one, one for all: on model checking using representatives. In: Courcoubetis, C. (ed.) CAV 1993. LNCS, vol. 697, pp. 409–423. Springer, Heidelberg (1993)

    Google Scholar 

  18. Penczek, W., Kuiper, R.: Traces and logic. In: Diekert and Rozemberg, cite[4]

    Google Scholar 

  19. Valmari, A.: Stubborn sets for reduced state space generation. In: Applications and Theory of Petri Nets, pp. 491–515 (1989)

    Google Scholar 

  20. Winskel, G.: Event structures. In: Brauer, W., Reisig, W., Rozenberg, G. (eds.) APN 1986. LNCS, vol. 255, pp. 325–392. Springer, Heidelberg (1987)

    Google Scholar 

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Niebert, P., Qu, H. (2006). The Implementation of Mazurkiewicz Traces in POEM. In: Graf, S., Zhang, W. (eds) Automated Technology for Verification and Analysis. ATVA 2006. Lecture Notes in Computer Science, vol 4218. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11901914_37

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  • DOI: https://doi.org/10.1007/11901914_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-47237-7

  • Online ISBN: 978-3-540-47238-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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