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A Fine-Grained Fullness-Guided Chaining Heuristic for Symbolic Reachability Analysis

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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

Chaining can reduce the number of iterations required for symbolic state-space generation and model-checking, especially in Petri nets and similar asynchronous systems, but requires considerable insight and is limited to a static ordering of the events in the high-level model. We introduce a two-step approach that is instead fine-grained and dynamically applied to the decision diagrams nodes. The first step, based on a precedence relation, is guaranteed to improve convergence, while the second one, based on a notion of node fullness, is heuristic. We apply our approach to traditional breadth-first and saturation state-space generation, and show that it is effective in both cases.

Work supported in part by the National Science Foundation under grants CNS-0501747 and CNS-0501748.

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References

  1. Bryant, R.E.: Graph-based algorithms for boolean function manipulation. IEEE Trans. Comp. 35(8), 677–691 (1986)

    Article  MATH  Google Scholar 

  2. Burch, J.R., Clarke, E.M., Long, D.E.: Symbolic model checking with partitioned transition relations. In: Proc. Int. Conference on Very Large Scale Integration, August 1991. IFIP Transactions, pp. 49–58. North-Holland, Amsterdam (1991)

    Google Scholar 

  3. Ciardo, G., Jones, R.L., Miner, A.S., Siminiceanu, R.: Logical and stochastic modeling with SMART. Perf. Eval. 63, 578–608 (2006)

    Article  Google Scholar 

  4. Ciardo, G., Lan, Y.: Faster discrete-event simulation through structural caching. In: Proc. PMCCS, September 2003, pp. 11–14 (2003)

    Google Scholar 

  5. Ciardo, G., Lüttgen, G., Ciardo, G., Siminiceanu, R.: Efficient symbolic state-space construction for asynchronous systems. In: Nielsen, M., Simpson, D. (eds.) ICATPN 2000. LNCS, vol. 1825, pp. 103–122. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  6. Ciardo, G., Lüttgen, G., Siminiceanu, R.: Saturation: An efficient iteration strategy for symbolic state space generation. In: Margaria, T., Yi, W. (eds.) ETAPS 2001 and TACAS 2001. LNCS, vol. 2031, pp. 328–342. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  7. Ciardo, G., Marmorstein, R., Siminiceanu, R.: The saturation algorithm for symbolic state space exploration. STTT 8(1), 4–25 (2006)

    Article  Google Scholar 

  8. Ciardo, G., Siminiceanu, R.: Structural symbolic CTL model checking of asynchronous systems. In: Hunt Jr., W.A., Somenzi, F. (eds.) CAV 2003. LNCS, vol. 2725, pp. 40–53. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  9. Ciardo, G., Trivedi, K.S.: A decomposition approach for stochastic reward net models. Perf. Eval. 18(1), 37–59 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  10. Ciardo, G., Yu, A.J.: Saturation-based symbolic reachability analysis using conjunctive and disjunctive partitioning. In: Borrione, D., Paul, W. (eds.) CHARME 2005. LNCS, vol. 3725, pp. 146–161. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  11. Cimatti, A., Clarke, E., Giunchiglia, F., Roveri, M.: NuSMV: A new symbolic model verifier. In: Halbwachs, N., Peled, D.A. (eds.) CAV 1999. LNCS, vol. 1633, pp. 495–499. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  12. Fernandes, P., Plateau, B., Stewart, W.J.: Efficient descriptor-vector multiplication in stochastic automata networks. J. ACM 45(3), 381–414 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  13. Itai, A., Rodeh, M.: Symmetry breaking in distributed networks. In: Proc. FOCS, pp. 150–158. IEEE Comp. Soc. Press, Los Alamitos (October 1981)

    Google Scholar 

  14. Kam, T., Villa, T., Brayton, R., Sangiovanni-Vincentelli, A.: Multi-valued decision diagrams: theory and applications. Multiple-Valued Logic 4(1–2), 9–62 (1998)

    MATH  MathSciNet  Google Scholar 

  15. Kimura, S., Clarke, E.M.: A parallel algorithm for constructing binary decision diagrams. In: Proc. ICCD, pp. 220–223. IEEE Computer Society Press, Los Alamitos (1990)

    Google Scholar 

  16. Martin, A.J.: The design of a self-timed circuit for distributed mutual exclusion. In: Proc. Chapel Hill Conference on VLSI, pp. 245–260 (1985)

    Google Scholar 

  17. McMillan, K.L.: Symbolic Model Checking. Kluwer, Dordrecht (1993)

    MATH  Google Scholar 

  18. Miner, A.S., Ciardo, G.: Efficient reachability set generation and storage using decision diagrams. In: Donatelli, S., Kleijn, J. (eds.) ICATPN 1999. LNCS, vol. 1639, pp. 6–25. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  19. Pastor, E., Roig, O., Cortadella, J., Badia, R.: Petri net analysis using boolean manipulation. In: Valette, R. (ed.) ICATPN 1994. LNCS, vol. 815, pp. 416–435. Springer, Heidelberg (1994)

    Google Scholar 

  20. Ravi, K., Somenzi, F.: High-density reachability analysis. In: Proc. ICCAD, pp. 154–158. IEEE Comp. Soc. Press, Los Alamitos (1995)

    Google Scholar 

  21. Ravi, K., Somenzi, F.: Hints to accelerate Symbolic Traversal. In: Pierre, L., Kropf, T. (eds.) CHARME 1999. LNCS, vol. 1703, pp. 250–266. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  22. Roig, O., Cortadella, J., Pastor, E.: Verification of asynchronous circuits by BDD-based model checking of Petri nets. In: DeMichelis, G., Díaz, M. (eds.) ICATPN 1995. LNCS, vol. 935, pp. 374–391. Springer, Heidelberg (1995)

    Google Scholar 

  23. R.  Siminiceanu and G. Ciardo. New metrics for static variable ordering in decision diagrams. Proc. TACAS, LNCS 2031, pages 328–342. Springer, March 2006.

    Google Scholar 

  24. Tilgner, M., Takahashi, Y., Ciardo, G.: SNS 1.0: Synchronized Network Solver. In: Proc. 1st Int. Workshop on Manuf. and Petri Nets, pp. 215–234 (June 1996)

    Google Scholar 

  25. The VIS Group: VIS: A system for verification and synthesis. In: Alur, R., Henzinger, T.A. (eds.) CAV 1996. LNCS, vol. 1102, pp. 428–432. Springer, Heidelberg (1996)

    Google Scholar 

  26. Ward, D., Somenzi, F.: Automatic Generation of Hints for Symbolic Traversal. In: Borrione, D., Paul, W. (eds.) CHARME 2005. LNCS, vol. 3725, pp. 207–221. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

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Chung, MY., Ciardo, G., Yu, A.J. (2006). A Fine-Grained Fullness-Guided Chaining Heuristic for Symbolic Reachability Analysis. 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_7

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  • DOI: https://doi.org/10.1007/11901914_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-47237-7

  • Online ISBN: 978-3-540-47238-4

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