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Partial-Order Reduction for Multi-core LTL Model Checking

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Hardware and Software: Verification and Testing (HVC 2014)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 8855))

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Abstract

Partial-Order Reduction (POR) is a well-known, successful technique for on-the-fly state space reduction in model checking, as evidenced by the prestigious CAV 2014 award for its pioneers. The combination of POR with LTL model checking is long known to cause the so-called ignoring problem, i.e. relevant behavior is continuously ignored and never selected for exploration. This problem has been solved with increasing sophistication over the years, using various ignoring provisos, which include all necessary actions along cycles in the state space.

However, parallel model checking algorithms still suffer from a lack of an efficient solution; the best known ones causing severe decrease in reductions. We present a new parallel ignoring proviso for POR, which solves this issue by exploiting parallel DFS-based algorithms. Its similarity to the sequential solutions allows the combination with sophisticated earlier methods solving the ignoring problem. We prove correctness of the new proviso and empirically show that it maintains good reductions, runtime performance and parallel scalability.

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References

  1. Baier, C., Katoen, J.P.: Principles of Model Checking. The MIT Press (2008)

    Google Scholar 

  2. Barnat, J., Brim, L., Ročkai, P.: A Time-Optimal On-the-Fly Parallel Algorithm for Model Checking of Weak LTL Properties. In: Breitman, K., Cavalcanti, A. (eds.) ICFEM 2009. LNCS, vol. 5885, pp. 407–425. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  3. Barnat, J., Brim, L., Ročkai, P.: Parallel Partial Order Reduction with Topological Sort Proviso. In: SEFM 2010, pp. 222–231. IEEE Computer Society (2010)

    Google Scholar 

  4. van der Berg, F., Laarman, A.: SpinS: Extending LTSmin with Promela through SpinJa. ENTCS 296, 95–105 (2013)

    Google Scholar 

  5. Bošnački, D., Holzmann, G.J.: Improving Spin’s Partial-Order Reduction for Breadth-First Search. In: Godefroid, P. (ed.) SPIN 2005. LNCS, vol. 3639, pp. 91–105. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  6. Bošnački, D., Leue, S., Lluch-Lafuente, A.: Partial-Order Reduction for General State Exploring Algorithms. STTT 11(1), 39–51 (2009)

    Article  Google Scholar 

  7. Courcoubetis, C., Vardi, M., Wolper, P., Yannakakis, M.: Memory Efficient Algorithms for the Verification of Temporal Properties. In: Clarke, E., Kurshan, R.P. (eds.) CAV 1990. LNCS, vol. 531, pp. 233–242. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

  8. Evangelista, S., Laarman, A., Petrucci, L., van de Pol, J.: Improved Multi-Core Nested Depth-First Search. In: Chakraborty, S., Mukund, M. (eds.) ATVA 2012. LNCS, vol. 7561, pp. 269–283. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  9. Evangelista, S., Pajault, C.: Solving the Ignoring Problem for Partial Order Reduction. STTT 12, 155–170 (2010)

    Article  Google Scholar 

  10. Geldenhuys, J., Hansen, H., Valmari, A.: Exploring the Scope for Partial Order Reduction. In: Liu, Z., Ravn, A.P. (eds.) ATVA 2009. LNCS, vol. 5799, pp. 39–53. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  11. Holzmann, G.: The model checker SPIN. IEEE TSE 23, 279–295 (1997)

    Google Scholar 

  12. Holzmann, G., Peled, D., Yannakakis, M.: On Nested Depth First Search. In: SPIN 1996, pp. 23–32. American Mathematical Society (1996)

    Google Scholar 

  13. Karp, R.M.: Reducibility among Combinatorial Problems. In: Complexity of Computer Computations. IBM Research Symposia Series, pp. 85–103. Springer (1972)

    Google Scholar 

  14. Kurshan, R., Levin, V., Minea, M., Peled, D., Yenigün, H.: Static Partial Order Reduction. In: Steffen, B. (ed.) TACAS 1998. LNCS, vol. 1384, pp. 345–357. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  15. Laarman, A., Faragó, D.: Improved On-The-Fly Livelock Detection. In: Brat, G., Rungta, N., Venet, A. (eds.) NFM 2013. LNCS, vol. 7871, pp. 32–47. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  16. Laarman, A., van de Pol, J., Weber, M.: Boosting Multi-Core Reachability Performance with Shared Hash Tables. In: FMCAD 2010, pp. 247–255. IEEE-CS (2010)

    Google Scholar 

  17. Laarman, A., van de Pol, J., Weber, M.: Multi-Core LTSmin: Marrying Modularity and Scalability. In: Bobaru, M., Havelund, K., Holzmann, G.J., Joshi, R. (eds.) NFM 2011. LNCS, vol. 6617, pp. 506–511. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  18. Laarman, A.: Scalable Multi-Core Model Checking. Ph.D. thesis, University of Twente (2014)

    Google Scholar 

  19. Laarman, A., Langerak, R., van de Pol, J., Weber, M., Wijs, A.: Multi-core Nested Depth-First Search. In: Bultan, T., Hsiung, P.-A. (eds.) ATVA 2011. LNCS, vol. 6996, pp. 321–335. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  20. Laarman, A., Olesen, M.C., Dalsgaard, A.E., Larsen, K.G., van de Pol, J.: Multi-core emptiness checking of timed büchi automata using inclusion abstraction. In: Sharygina, N., Veith, H. (eds.) CAV 2013. LNCS, vol. 8044, pp. 968–983. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  21. Laarman, A., Pater, E., van de Pol, J., Weber, M.: Guard-Based Partial-Order Reduction. In: Bartocci, E., Ramakrishnan, C.R. (eds.) SPIN 2013. LNCS, vol. 7976, pp. 227–245. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  22. Lerda, F., Sisto, R.: Distributed-Memory Model Checking with SPIN. In: Dams, D.R., Gerth, R., Leue, S., Massink, M. (eds.) SPIN 1999. LNCS, vol. 1680, pp. 22–39. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  23. Liu, Y., Sun, J., Dong, J.: Scalable multi-core model checking fairness enhanced systems. In: Breitman, K., Cavalcanti, A. (eds.) ICFEM 2009. LNCS, vol. 5885, pp. 426–445. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  24. Lowe, G.: Concurrent Depth-First Search Algorithms. In: Ábrahám, E., Havelund, K. (eds.) TACAS 2014 (ETAPS). LNCS, vol. 8413, pp. 202–216. Springer, Heidelberg (2014)

    Chapter  Google Scholar 

  25. Moore, G.E.: Cramming more Components onto Integrated Circuits. Electronics 38(10), 114–117 (1965)

    Google Scholar 

  26. Nalumasu, R., Gopalakrishnan, G.: An Efficient Partial Order Reduction Algorithm with an Alternative Proviso Implementation. FMSD 20(3), 231–247 (2002)

    MATH  Google Scholar 

  27. Pelánek, R.: BEEM: Benchmarks for explicit model checkers. In: Bošnački, D., Edelkamp, S. (eds.) SPIN 2007. LNCS, vol. 4595, pp. 263–267. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  28. Schwoon, S., Esparza, J.: A Note on On-the-Fly Verification Algorithms. In: Halbwachs, N., Zuck, L.D. (eds.) TACAS 2005. LNCS, vol. 3440, pp. 174–190. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  29. Valmari, A.: A Stubborn Attack On State Explosion. In: Larsen, K.G., Skou, A. (eds.) CAV 1991. LNCS, vol. 575, pp. 156–165. Springer, Heidelberg (1992)

    Google Scholar 

  30. Valmari, A.: Stubborn Sets for Reduced State Space Generation. In: Rozenberg, G. (ed.) APN 1990. LNCS, vol. 483, pp. 491–515. Springer, Heidelberg (1991)

    Chapter  Google Scholar 

  31. Valmari, A.: The State Explosion Problem. In: Reisig, W., Rozenberg, G. (eds.) APN 1998. LNCS, vol. 1491, pp. 429–528. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  32. Valmari, A.: Stubborn Set Methods for Process Algebras. In: POMIV 1996, pp. 213–231. AMS Press, Inc. (1997)

    Google Scholar 

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Laarman, A., Wijs, A. (2014). Partial-Order Reduction for Multi-core LTL Model Checking. In: Yahav, E. (eds) Hardware and Software: Verification and Testing. HVC 2014. Lecture Notes in Computer Science, vol 8855. Springer, Cham. https://doi.org/10.1007/978-3-319-13338-6_20

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  • DOI: https://doi.org/10.1007/978-3-319-13338-6_20

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-13337-9

  • Online ISBN: 978-3-319-13338-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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