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Symbolic CTL Model Checking of Asynchronous Systems Using Constrained Saturation

  • Yang Zhao
  • Gianfranco Ciardo
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5799)

Abstract

The saturation state-space generation algorithm has demonstrated clear improvements over state-of-the-art symbolic methods for asynchronous systems. This work is motivated by efficiently applying saturation to CTL model checking. First, we introduce a new “constrained saturation” algorithm which constrains state exploration to a set of states satisfying given properties. This algorithm avoids the expensive after-the-fact intersection operations and retains the advantages of saturation, namely, exploiting event locality and benefiting from recursive local fixpoint computations. Then, we employ constrained saturation to build the set of states satisfying EU and EG properties for asynchronous systems. The new algorithm can achieve orders-of-magnitude reduction in runtime and memory consumption with respect to methods based on breath-first search, and even with a previously-proposed hybrid approach that alternates between “safe” saturation and “unsafe” breadth-first searches. Furthermore, the new approch is fully general, as it does not require the next-state function to be expressable in Kronecker form. We conclude this paper with a discussion of some possible future work, such as building the set of states belonging to strongly connected components.

Keywords

Model Check Reachable State Reduction Rule State Exploration Symbolic Model Check 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    NuSMV: a new symbolic model checker, http://nusmv.irst.itc.it/
  2. 2.
    Bryant, R.E.: Graph-based algorithms for boolean function manipulation. IEEE Transactions on Computers 35(8), 677–691 (1986)CrossRefzbMATHGoogle Scholar
  3. 3.
    Burch, J.R., Clarke, E.M., Long, D.E.: Symbolic model checking with partitioned transition relations. In: Halaas, A., Denyer, P.B. (eds.) Int. Conference on Very Large Scale Integration, Edinburgh, Scotland, August 1991. IFIP Transactions, pp. 49–58. North-Holland, Amsterdam (1991)Google Scholar
  4. 4.
    Ciardo, G., et al.: SMART: Stochastic Model checking Analyzer for Reliability and Timing, User Manual, http://www.cs.ucr.edu/~ciardo/SMART/
  5. 5.
    Ciardo, G., Jones, R.L., Miner, A.S., Siminiceanu, R.: Logical and stochastic modeling with SMART. Perf. Eval. 63, 578–608 (2006)CrossRefGoogle Scholar
  6. 6.
    Ciardo, G., Luettgen, G., Miner, A.S.: Exploiting interleaving semantics in symbolic state-space generation. Formal Methods in System Design 31, 63–100 (2007)CrossRefzbMATHGoogle Scholar
  7. 7.
    Ciardo, G., Lüttgen, G., Siminiceanu, R.: Saturation: An efficient iteration strategy for symbolic state space generation. In: Margaria, T., Yi, W. (eds.) TACAS 2001. LNCS, vol. 2031, pp. 328–342. Springer, Heidelberg (2001)CrossRefGoogle Scholar
  8. 8.
    Ciardo, G., Marmorstein, R., Siminiceanu, R.: Saturation unbound. In: Garavel, H., Hatcliff, J. (eds.) TACAS 2003. LNCS, vol. 2619, pp. 379–393. Springer, Heidelberg (2003)Google Scholar
  9. 9.
    Ciardo, G., Marmorstein, R., Siminiceanu, R.: The saturation algorithm for symbolic state space exploration. Software Tools for Technology Transfer 8(1), 4–25 (2006)CrossRefGoogle Scholar
  10. 10.
    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)Google Scholar
  11. 11.
    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)CrossRefGoogle Scholar
  12. 12.
    Cimatti, A., Clarke, E., Giunchiglia, E., Giunchiglia, F., Pistore, M., Roveri, M., Sebastiani, R., Tacchella, A.: NuSMV Version 2: An OpenSource Tool for Symbolic Model Checking. In: Brinksma, E., Larsen, K.G. (eds.) CAV 2002. LNCS, vol. 2404, p. 359. Springer, Heidelberg (2002)CrossRefGoogle Scholar
  13. 13.
    McMillan, K.L.: Symbolic Model Checking: An Approach to the State Explosion Problem. PhD thesis, School of Computer Science, Carnegie Mellon University, Pittsburgh, PA (May 1992), CMU-CS-92-131Google Scholar
  14. 14.
    Wan, M., Ciardo, G.: Symbolic state-space generation of asynchronous systems using extensible decision diagrams. In: Nielsen, M., Kucera, A., Miltersen, P.B., Palamidessi, C., Tuma, P., Valencia, F.D. (eds.) SOFSEM 2009. LNCS, vol. 5404, pp. 582–594. Springer, Heidelberg (2009)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Yang Zhao
    • 1
  • Gianfranco Ciardo
    • 1
  1. 1.Department of Computer Science and EngineeringUniversity of CaliforniaRiverside

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