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PBMC: Symbolic Slicing for the Verification of Concurrent Programs

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Automated Technology for Verification and Analysis (ATVA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 9364))

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Abstract

This paper proposes a novel optimization of bounded model checking (BMC) for better run-time efficiency. Specifically, we define projections, an adaptation of dynamic program slices, and instruct the bounded model checker to check projections only. Given state properties over a subset of the program’s variables, we prove the soundness of the proposed optimization.

We propose a symbolic encoding of projections and implement it for a prototype language of concurrent programs. We have developed a tool called PBMC to evaluate the efficiency of the proposed approach. Our evaluation with various concurrent programs justifies the potential of projections to efficient verification.

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Notes

  1. 1.

    Ignoring our assumption about the initial values of the variables.

  2. 2.

    For simplicity we focus on deterministic systems, although our results equally hold for non-deterministic programs.

  3. 3.

    More precisely, the solver will assign a value to \(sel^i\) which does not correspond to any of the instructions.

References

  1. ESBMC. http://www.esbmc.org/. Accessed 4 October 2015

  2. LLBMC. http://llbmc.org/. Accessed 4 October 2015

  3. Z3. http://z3.codeplex.com/. Accessed 4 October2015

  4. Abdulla, P., Aronis, S., Jonsson, B., Sagonas, K.: Optimal dynamic partial order reduction. In: POPL, pp. 373–384. ACM Press (2014)

    Google Scholar 

  5. Agrawal, H., Horgan, J.R.: Dynamic program slicing. In: PLDI, pp. 246–256. ACM Press (1990)

    Google Scholar 

  6. Alglave, J., Kroening, D., Tautschnig, M.: Partial orders for efficient bounded model checking of concurrent software. In: Sharygina, N., Veith, H. (eds.) CAV 2013. LNCS, vol. 8044, pp. 141–157. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  7. Beyer, D., Henzinger, T.A., Jhala, R., Majumdar, R.: The software model checker Blast. Int. J. Softw. Tools Technol. Transf. 9(5–6), 505–525 (2007)

    Article  Google Scholar 

  8. Biere, A., Cimatti, A., Clarke, E., Zhu, Y.: Symbolic model checking without BDDs. In: Cleaveland, W.R. (ed.) TACAS 1999. LNCS, vol. 1579, pp. 193–207. Springer, Heidelberg (1999)

    Chapter  Google Scholar 

  9. Bokor, P., Kinder, J., Serafini, M., Suri, N.: Supporting domain-specific state space reductions through local partial-order reduction. In: ASE, pp. 113–122. IEEE Press (2011)

    Google Scholar 

  10. Burckhardt, S., Alur, R., Martin, M.M.: Checkfence: checking consistency of concurrent data types on relaxed memory models. In: PLDI, pp. 12–21. ACM Press (2007)

    Google Scholar 

  11. Clarke, E., Grumberg, O., Jha, S., Lu, Y., Veith, H.: Counterexample-guided abstraction refinement. In: Emerson, E.A., Sistla, A.P. (eds.) CAV 2000. LNCS, vol. 1855, pp. 154–169. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  12. Clarke, E., Kroning, D., Lerda, F.: A tool for checking ANSI-C programs. In: Jensen, K., Podelski, A. (eds.) TACAS 2004. LNCS, vol. 2988, pp. 168–176. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  13. Clarke, E.M., Grumberg, O., Peled, D.: Model Checking. MIT Press, Cambridge (1999)

    Google Scholar 

  14. Dwyer, M.B., Hatcliff, J., Hoosier, M., Ranganath, V.P., Wallentine, T.: Evaluating the effectiveness of slicing for model reduction of concurrent object-oriented programs. In: Hermanns, H., Palsberg, J. (eds.) TACAS 2006. LNCS, vol. 3920, pp. 73–89. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  15. Flanagan, C., Godefroid, P.: Dynamic partial-order reduction for model checking software. In: POPL, pp. 110–121. ACM Press (2005)

    Google Scholar 

  16. Ganai, M., Gupta, A.: Tunneling and slicing: towards scalable BMC. In: DAC, pp. 137–142. IEEE Press (2008)

    Google Scholar 

  17. Godefroid, P., van Leeuwen, J., Hartmanis, J., Goos, G., Wolper, P.: Partial-Order Methods for the Verification of Concurrent Systems. LNCS, vol. 1032. Springer, Heidelberg (1996)

    Google Scholar 

  18. Gueta, G., Flanagan, C., Yahav, E., Sagiv, M.: Cartesian partial-order reduction. In: Bošnački, D., Edelkamp, S. (eds.) SPIN 2007. LNCS, vol. 4595, pp. 95–112. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  19. Jhala, R., Majumdar, R.: Path slicing. In: PLDI, pp. 38–47. ACM Press (2005)

    Google Scholar 

  20. Kahlon, V., Wang, C., Gupta, A.: Monotonic partial order reduction: an optimal symbolic partial order reduction technique. In: Bouajjani, A., Maler, O. (eds.) CAV 2009. LNCS, vol. 5643, pp. 398–413. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  21. Krinke, J.: Advanced slicing of sequential and concurrent programs. In: International Conference on Software Maintenance, pp. 464–468. IEEE Press (2004)

    Google Scholar 

  22. Lal, A., Qadeer, S., Lahiri, S.K.: A solver for reachability modulo theories. In: Madhusudan, P., Seshia, S.A. (eds.) CAV 2012. LNCS, vol. 7358, pp. 427–443. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

  23. Mazurkiewicz, A.: Trace theory. In: Brauer, W., Reisig, W., Rozenberg, G. (eds.) Advances in Petri Nets 1986. LNCS, vol. 255, pp. 278–324. Springer, Heidelberg (1987)

    Chapter  Google Scholar 

  24. McMillan, K.L.: Lazy abstraction with interpolants. In: Ball, T., Jones, R.B. (eds.) CAV 2006. LNCS, vol. 4144, pp. 123–136. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  25. Păsăreanu, C.S., Visser, W., Bushnell, D., Geldenhuys, J., Mehlitz, P., Rungta, N.: Symbolic pathfinder: integrating symbolic execution with model checking for java bytecode analysis. Autom. Softw. Eng. 20(3), 391–425 (2013)

    Article  Google Scholar 

  26. Ranganath, V.P., Hatcliff, J.: Slicing concurrent java programs using Indus and Kaveri. Int. J. Softw. Tools Technol. Transfer 9(5–6), 489–504 (2007)

    Article  Google Scholar 

  27. Sinha, N., Wang, C.: On interference abstractions. In: POPL, pp. 423–434. ACM Press (2011)

    Google Scholar 

  28. 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 

  29. Wachter, B., Kroening, D., Ouaknine, J.: Verifying multi-threaded software with Impact. In: FMCAD, pp. 210–217. IEEE Press (2013)

    Google Scholar 

  30. Weiser, M.: Program slicing. In: ICSE, pp. 439–449. IEEE Press (1981)

    Google Scholar 

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Acknowledgment

Research supported by TUD Cased & EC-SPRIDE.

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Authors and Affiliations

  1. Technische Univeristät Darmstadt, Darmstadt, Germany

    Habib Saissi, Péter Bokor & Neeraj Suri

Authors
  1. Habib Saissi
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  2. Péter Bokor
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  3. Neeraj Suri
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Correspondence to Habib Saissi .

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Editors and Affiliations

  1. Universität des Saarlandes, Saarbrücken, Germany

    Bernd Finkbeiner

  2. East China Normal University, Shanghai, China

    Geguang Pu

  3. Chinese Academy of Sciences, Beijing, China

    Lijun Zhang

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Saissi, H., Bokor, P., Suri, N. (2015). PBMC: Symbolic Slicing for the Verification of Concurrent Programs. In: Finkbeiner, B., Pu, G., Zhang, L. (eds) Automated Technology for Verification and Analysis. ATVA 2015. Lecture Notes in Computer Science(), vol 9364. Springer, Cham. https://doi.org/10.1007/978-3-319-24953-7_26

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  • DOI: https://doi.org/10.1007/978-3-319-24953-7_26

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