Abstract
We focus on checking safety properties in networks of extended timed automata, with the well-known UPPAAL system. We show how to use predicate abstraction, in the sense used in model checking, to generate search guidance, in the sense used in Artificial Intelligence (AI). This contributes another family of heuristic functions to the growing body of work on directed model checking. The overall methodology follows the pattern database approach from AI: the abstract state space is exhaustively built in a pre-process, and used as a lookup table during search. While typically pattern databases use rather primitive abstractions ignoring some of the relevant symbols, we use predicate abstraction, dividing the state space into equivalence classes with respect to a list of logical expressions (predicates). We empirically explore the behavior of the resulting family of heuristics, in a meaningful set of benchmarks. In particular, while several challenges remain open, we show that one can easily obtain heuristic functions that are competitive with the state-of-the-art in directed model checking.
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Ball, T., Majumdar, R., Millstein, T., Rajamani, S.: Automatic predicate abstraction of C programs. In: PLDI 2001: Programming Language Design and Implementation, pp. 203–213 (2001)
Chaki, S., Clarke, E., Groce, A., Jha, S., Veith, H.: Modular verification of software components in C. In: ICSE 2003: Int. Conf. on Software Engineering, pp. 385–395 (2003)
Culberson, J., Schaeffer, J.: Pattern databases. Computational Intelligence 14(3), 318–334 (1998)
Dierks, H.: Comparing model-checking and logical reasoning for real-time systems. Formal Aspects of Computing 16(2), 104–120 (2004)
Dräger, K., Finkbeiner, B., Podelski, A.: Directed model checking with distance-preserving abstractions. In: Valmari, A. (ed.) Model Checking Software. LNCS, vol. 3925, Springer, Heidelberg (2006)
Edelkamp, S., Lluch-Lafuente, A., Leue, S.: Directed explicit model checking with HSF-SPIN. In: Dwyer, M.B. (ed.) Model Checking Software. LNCS, vol. 2057, pp. 57–79. Springer, Heidelberg (2001)
Edelkamp, S., Lluch-Lafuente, A., Leue, S.: Directed explicit-state model checking in the validation of communication protocols. International Journal on Software Tools for Technology Transfer (2004)
Graf, S., Saïdi, H.: Construction of abstract state graphs with PVS. In: Grumberg, O. (ed.) CAV 1997. LNCS, vol. 1254, pp. 72–83. Springer, Heidelberg (1997)
Groce, A., Visser, W.: Model checking Java programs using structural heuristics. In: International Symposium on Software Testing and Analysis, pp. 12–21 (2002)
Henzinger, T., Jhala, R., Majumdar, R., McMillan, K.: Abstractions from proofs. In: POPL 2004: Principles of Programming Languages, pp. 232–244 (2004)
Hoffmann, J., Koehler, J.: A new method to query and index sets. In: 16th International Joint Conference on Artificial Intelligence (IJCAI-1999), pp. 462–467 (1999)
Krieg-Brückner, B., Peleska, J., Olderog, E., Baer, A.: The UniForM Workbench, a universal development environment for formal methods. In: Wing, J.M., Woodcock, J.C.P., Davies, J. (eds.) FM 1999. LNCS, vol. 1708, pp. 1186–1205. Springer, Heidelberg (1999)
Kupferschmid, S., Hoffmann, J., Dierks, H., Behrmann, G.: Adapting an AI planning heuristic for directed model checking. In: Valmari, A. (ed.) Model Checking Software. LNCS, vol. 3925, Springer, Heidelberg (2006)
Podelski, A., Rybalchenko, A.: ARMC: the logical choice for software model checking with abstraction refinement. In: Hanus, M. (ed.) PADL 2007. LNCS, vol. 4354, pp. 245–259. Springer, Heidelberg (2007)
Qian, K., Nymeyer, A.: Guided invariant model checking based on abstraction and symbolic pattern databases. In: Jensen, K., Podelski, A. (eds.) TACAS 2004. LNCS, vol. 2988, pp. 497–511. Springer, Heidelberg (2004)
Rybalchenko, A.: A model checker based on abstraction refinement. Master’s thesis, Universität des Saarlandes (2002)
Rybalchenko, A., Sofronie-Stokkermans, V.: Constraint solving for interpolation. In: Cook, B., Podelski, A. (eds.) VMCAI 2007. LNCS, vol. 4349, Springer, Heidelberg (2007)
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Hoffmann, J., Smaus, JG., Rybalchenko, A., Kupferschmid, S., Podelski, A. (2007). Using Predicate Abstraction to Generate Heuristic Functions in UPPAAL. In: Edelkamp, S., Lomuscio, A. (eds) Model Checking and Artificial Intelligence. MoChArt 2006. Lecture Notes in Computer Science(), vol 4428. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74128-2_4
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DOI: https://doi.org/10.1007/978-3-540-74128-2_4
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