Abstract
Partial order reduction has been very successful at combatting the state explosion problem [4], [9] for lower-level formalisms, but has thus far made hardly any impact for model checking higher-level formalisms such as B, Z or TLA + . This paper attempts to remedy this issue in the context of the increasing importance of Event-B, with its much more fine-grained events and thus increased potential for event-independence and partial order reduction. This paper provides a detailed description of a partial order reduction in ProB. The technique is evaluated on a variety of models. Additionally, the implementation of the method is discussed, which contains new constraint-based analyses.
This research is being carried out as part of the DFG funded research project GEPAVAS.
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References
Abrial, J.-R.: The B-Book: Assigning Programs to Meanings. Cambridge University Press, New York (1996)
Abrial, J.-R.: Modeling in Event-B: System and Software Engineering, 1st edn. Cambridge University Press, New York (2010)
Ait-Sadoune, I., Ait-Ameur, Y.: A Proof Based Approach for Modelling and Verifying Web Services Compositions. In: ICECCS 2009, pp. 1–10. IEEE Computer Society, Washington, DC (2009)
Baier, C., Katoen, J.-P.: Principles of Model Checking. The MIT Press (2008)
Barnat, J., Brim, L., Rockai, P.: Parallel Partial Order Reduction with Topological Sort Proviso. In: SEFM, pp. 222–231. IEEE Computer Society (2010)
Bendisposto, J., Leuschel, M.: Proof Assisted Model Checking for B. In: Breitman, K., Cavalcanti, A. (eds.) ICFEM 2009. LNCS, vol. 5885, pp. 504–520. Springer, Heidelberg (2009)
Boström, P., Degerlund, F., Sere, K., Waldén, M.: Derivation of Concurrent Programs by Stepwise Scheduling of Event-B Models. Formal Aspects of Computing, 1–23 (2012)
Clarke, E., Grumberg, O., Minea, M., Peled, D.: State Space Reduction using Partial Order Techniques. International Journal on STTT 2(3), 279–287 (1999)
Clarke Jr., E.M., Grumberg, O., Peled, D.A.: Model Checking. MIT Press, Cambridge (1999)
Degerlund, F.: Scheduling Performance of Compute-Intensive Concurrent Code Developed Using Event-B. TUCS Technical Reports 1051, pp. 1–20 (2012)
Dobrikov, I., Leuschel, M.: Optimising the ProB Model Checker for B using Static Analysis and Partial Order Reduction. Technical Report (2014), http://www.stups.uni-duesseldorf.de/mediawiki/images/5/5b/Pub-DobrikovLeuschelPORtechreport.pdf
Godefroid, P.: Partial-Order Methods for the Verification of Concurrent Systems. LNCS, vol. 1032. Springer, Heidelberg (1996)
Godefroid, P., Wolper, P.: Using Partial Orders for the Efficient Verification of Deadlock Freedom and Safety Properties. In: Larsen, K.G., Skou, A. (eds.) CAV 1991. LNCS, vol. 575, pp. 332–342. Springer, Heidelberg (1992)
Leuschel, M., Bendisposto, J.: Directed Model Checking for B: An Evaluation and New Techniques. In: Davies, J., Silva, L., Simão, A. (eds.) SBMF 2010. LNCS, vol. 6527, pp. 1–16. Springer, Heidelberg (2011)
Leuschel, M., Butler, M.: ProB: An Automated Analysis Toolset for the B Method. STTT 10(2), 185–203 (2008)
Leuschel, M., Butler, M., Spermann, C., Turner, E.: Symmetry Reduction for B by Permutation Flooding. In: Julliand, J., Kouchnarenko, O. (eds.) B 2007. LNCS, vol. 4355, pp. 79–93. Springer, Heidelberg (2006)
Leuschel, M., Massart, T.: Efficient Approximate Verification of B via Symmetry Markers. In: Proceedings International Symmetry Conference, Edinburgh, UK, pp. 71–85 (January 2007)
Plagge, D., Leuschel, M.: Seven at one stroke: LTL model checking for High-level Specifications in B, Z, CSP, and more. STTT 12(1), 9–21 (2010)
Turner, E., Leuschel, M., Spermann, C., Butler, M.: Symmetry Reduced Model Checking for B. In: Proceedings TASE 2007, pp. 25–34. IEEE (2007)
Valmari, A.: Stubborn Sets for Reduced State Space Generation. In: Rozenberg, G. (ed.) APN 1990. LNCS, vol. 483, pp. 491–515. Springer, Heidelberg (1991)
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Dobrikov, I., Leuschel, M. (2014). Optimising the ProB Model Checker for B Using Partial Order Reduction. In: Giannakopoulou, D., Salaün, G. (eds) Software Engineering and Formal Methods. SEFM 2014. Lecture Notes in Computer Science, vol 8702. Springer, Cham. https://doi.org/10.1007/978-3-319-10431-7_16
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DOI: https://doi.org/10.1007/978-3-319-10431-7_16
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