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.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bryant, R.E.: Graph-based algorithms for boolean function manipulation. IEEE Trans. Comp. 35(8), 677–691 (1986)
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)
Ciardo, G., Jones, R.L., Miner, A.S., Siminiceanu, R.: Logical and stochastic modeling with SMART. Perf. Eval. 63, 578–608 (2006)
Ciardo, G., Lan, Y.: Faster discrete-event simulation through structural caching. In: Proc. PMCCS, September 2003, pp. 11–14 (2003)
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)
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)
Ciardo, G., Marmorstein, R., Siminiceanu, R.: The saturation algorithm for symbolic state space exploration. STTT 8(1), 4–25 (2006)
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)
Ciardo, G., Trivedi, K.S.: A decomposition approach for stochastic reward net models. Perf. Eval. 18(1), 37–59 (1993)
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)
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)
Fernandes, P., Plateau, B., Stewart, W.J.: Efficient descriptor-vector multiplication in stochastic automata networks. J. ACM 45(3), 381–414 (1998)
Itai, A., Rodeh, M.: Symmetry breaking in distributed networks. In: Proc. FOCS, pp. 150–158. IEEE Comp. Soc. Press, Los Alamitos (October 1981)
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)
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)
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)
McMillan, K.L.: Symbolic Model Checking. Kluwer, Dordrecht (1993)
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)
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)
Ravi, K., Somenzi, F.: High-density reachability analysis. In: Proc. ICCAD, pp. 154–158. IEEE Comp. Soc. Press, Los Alamitos (1995)
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)
Roig, O., Cortadella, J., Pastor, E.: Verification of asynchronous circuits by BDD-based model checking of Petri nets. In: DeMichelis, G., DÃaz, M. (eds.) ICATPN 1995. LNCS, vol. 935, pp. 374–391. Springer, Heidelberg (1995)
R. Siminiceanu and G. Ciardo. New metrics for static variable ordering in decision diagrams. Proc. TACAS, LNCS 2031, pages 328–342. Springer, March 2006.
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)
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)
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)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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
eBook Packages: Computer ScienceComputer Science (R0)