Abstract
Abstraction and slicing are both techniques for reducing the size of the state space to be inspected during verification. In this paper, we present a new model checking procedure for infinite-state concurrent systems that interleaves automatic abstraction refinement, which splits states according to new predicates obtained by Craig interpolation, with slicing, which removes irrelevant states and transitions from the abstraction. The effects of abstraction and slicing complement each other. As the refinement progresses, the increasing accuracy of the abstract model allows for a more precise slice; the resulting smaller representation gives room for additional predicates in the abstraction. The procedure terminates when an error path in the abstraction can be concretized, which proves that the system is erroneous, or when the slice becomes empty, which proves that the system is correct.
This work was partly supported by the German Research Council (DFG) as part of the Transregional Collaborative Research Center “Automatic Verification and Analysis of Complex Systems” (SFB/TR 14 AVACS, www.avacs.org).
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References
Graf, S., Saidi, H.: Construction of abstract state graphs with PVS. In: Grumberg, O. (ed.) CAV 1997. LNCS, vol. 1254, pp. 72–83. Springer, Heidelberg (1997)
Colón, M.A., Uribe, T.E.: Generating finite-state abstractions of reactive systems using decision procedures. In: Vardi, M.Y. (ed.) CAV 1998. LNCS, vol. 1427, pp. 293–304. Springer, Heidelberg (1998)
Ball, T., Rajamani, S.K.: Automatically validating temporal safety properties of interfaces. In: Proc. SPIN 2001, pp. 103–122. Springer, New York (2001)
Clarke, E.M., 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)
Das, S., Dill, D.L.: Counter-example based predicate discovery in predicate abstraction. In: Aagaard, M.D., O’Leary, J.W. (eds.) FMCAD 2002. LNCS, vol. 2517, Springer, Heidelberg (2002)
Henzinger, T., Jhala, R., Majumdar, R., Sutre, G.: Lazy abstraction. In: Proc. POPL 2002, pp. 58–70. ACM Press, New York (2002)
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)
Sipma, H.B., Uribe, T.E., Manna, Z.: Deductive model checking. Formal Methods in System Design 15(1), 49–74 (1999) (Preliminary version appeared). In: Proc. 8th Intl. Conference on Computer Aided Verification. LNCS, vol. 1102, pp. 208–219. Springer-Verlag, Heidelberg (1996)
Weiser, M.: Program slicing. In: Proceedings of the 5th International Conference on Software Engineering, pp. 439–449. IEEE Press, Los Alamitos (1981)
Ganesh, V., Saidi, N.S.H.: Slicing SAL. Technical report, SRI International (1999), http://theory.stanford.edu/
Dwyer, M.B., Hatcliff, J., Hoosier, M., Ranganath, V., Robby, W.T.: Evaluating the effectiveness of slicing for model reduction of concurrent object-oriented programs. In: Hermanns, H., Palsberg, J. (eds.) TACAS 2006 and ETAPS 2006. LNCS, vol. 3920, pp. 73–89. Springer, Heidelberg (2006)
Millett, L., Teitelbaum, T.: Issues in slicing PROMELA and its applications to model checking, protocol understanding, and simulation. Software Tools for Technology Transfer 2(4), 343–349 (2000)
Bozga, M., Fernandez, J.C., Ghirvu, L., Graf, S., Krimm, J.P., Mounier, L.: IF: An Intermediate Representation and Validation Environment for Timed Asynchronous Systems. In: Wing, J.M., Woodcock, J.C.P., Davies, J. (eds.) FM 1999. LNCS, vol. 1708, pp. 307–327. Springer, Heidelberg (1999)
Jhala, R., Majumdar, R.: Path slicing. In: Proc. PLDI 2005, pp. 38–47. ACM Press, New York (2005)
Canfora, G., Cimitile, A., Lucia, A.D.: Conditioned program slicing. Information and Software Technology Special Issue on Program Slicing 40, 595–607 (1998)
Fox, C., Danicic, S., Harman, M., Hierons, R.M.: Backward Conditioning: A New Program Specialisation Technique and Its Application to Program Comprehension. In: IWPC, pp. 89–97. IEEE Computer Society, Los Alamitos (2001)
Vasudevan, S., Emerson, E.A., Abraham, J.A.: Efficient Model Checking of Hardware Using Conditioned Slicing. ENTCS 128(6), 279–294 (2005)
Hong, H., Lee, I., Sokolsky, O.: Abstract slicing: A new approach to program slicing based on abstract interpretation and model checking. In: SCAM, pp. 25–34. IEEE Computer Society, Los Alamitos (2005)
McMillan, K.L.: Applications of Craig interpolants in model checking. In: Halbwachs, N., Zuck, L.D. (eds.) TACAS 2005. LNCS, vol. 3440, pp. 1–12. Springer, Heidelberg (2005)
Henzinger, T.A., Jhala, R., Majumdar, R., McMillan, K.L.: Abstractions from proofs. In: Proc. POPL 2004, pp. 232–244. ACM Press, New York (2004)
Rybalchenko, A.: CLP-prover (2006), http://mtc.epfl.ch/~rybalche/clp-prover/
Podelski, A., Rybalchenko, A.: ARMC: the logical choice for software model checking with abstraction refinement. In: Hanus, M. (ed.) PADL 2007. LNCS, vol. 4354, Springer, Heidelberg (2006)
Henzinger, T.A., Jhala, R., Majumdar, R., Sutre, G.: Software Verification with BLAST. In: Ball, T., Rajamani, S.K. (eds.) SPIN 2003. LNCS, vol. 2648, pp. 235–239. Springer, Heidelberg (2003)
Lamport, L.: A new solution of Dijkstra’s concurrent programming problem. Communications of the ACM 17(8), 435–455 (1974)
Manna, Z., Pnueli, A.: Clocked transition systems. Technical Report STAN-CS-TR-96-1566, Computer Science Department, Stanford University (1996)
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Brückner, I., Dräger, K., Finkbeiner, B., Wehrheim, H. (2007). Slicing Abstractions. In: Arbab, F., Sirjani, M. (eds) International Symposium on Fundamentals of Software Engineering. FSEN 2007. Lecture Notes in Computer Science, vol 4767. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75698-9_2
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