Abstract
The paper presents an automatic method to derive a deductive proof of response properties from symbolic model checking. The method is based on a new proof rule for response properties that deals directly with compassion (strong fairness). The method can be applied to infinite-state systems. In particular, model checking of response of (predicate- and ranking-) abstracted heap programs is automatically transformed into a deductive proof for the concrete heap system. All examples presented in the paper were run in tlv.
This research was supported in part by ONR grant N00014-99-1-0131, and SRC grant 2004-TJ-1256.
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References
Balaban, I.: Shape Analysis by Augmentation, Abstraction, and Transformation. PhD thesis, New York University, New York (May 1987)
Balaban, I., Pnueli, A., Zuck, L.D.: Modular ranking abstraction. Int. J. Found. Comput. Sci. 18(1), 5–44 (2007)
Clarke, E., Emerson, E.: Design and synthesis of synchronization skeletons using branching time temporal logic. In: Kozen, D. (ed.) Logic of Programs 1981. LNCS, vol. 131, pp. 52–71. Springer, Heidelberg (1982)
Emerson, E., Clarke, E.: Characterizing correctness properties of parallel programs using fixpoints. In: de Bakker, J.W., van Leeuwen, J. (eds.) ICALP 1980. LNCS, vol. 85, pp. 169–181. Springer, Heidelberg (1980)
Fang, Y., Piterman, N., Pnueli, A., Zuck, L.D.: Liveness with invisible ranking. Software Tools for Technology Transfer 8(3), 261–279 (2006)
Kesten, Y., Pnueli, A.: A Compositional Approach to CTL* Verification. Theor. Comp. Sci. 331(2-3), 397–428 (2005)
Kupferman, O., Vardi, M.: From complementation to certification. Theor. Comp. Sci. 345, 83–100 (2005)
Kurshan, R.: Computer Aided Verification of Coordinating Processes. Princeton University Press, Princeton (1995)
Lichtenstein, O., Pnueli, A.: Checking that finite-state concurrent programs satisfy their linear specification. In: Proc. 12th ACM Symp. Princ. of Prog. Lang., pp. 97–107 (1985)
Lichtenstein, O., Pnueli, A., Zuck, L.: The glory of the past. In: Parikh, R. (ed.) Logic of Programs 1985. LNCS, vol. 193, pp. 196–218. Springer, Heidelberg (1985)
Manna, Z., Pnueli, A.: Completing the temporal picture. Theor. Comp. Sci. 83(1), 97–130 (1991)
McMillan, K.: Symbolic Model Checking. Kluwer Academic Publishers, Boston (1993)
Namjoshi, K.S.: Certifying model checkers. In: Berry, G., Comon, H., Finkel, A. (eds.) CAV 2001. LNCS, vol. 2102, pp. 2–13. Springer, Heidelberg (2001)
Namjoshi, K.: Lifting temporal proofs through abstractions. In: Zuck, L.D., Attie, P.C., Cortesi, A., Mukhopadhyay, S. (eds.) VMCAI 2003. LNCS, vol. 2575, pp. 174–188. Springer, Heidelberg (2002)
Peled, D., Pnueli, A., Zuck, L.: From falsification to verification. In: Hariharan, R., Mukund, M., Vinay, V. (eds.) FSTTCS 2001. LNCS, vol. 2245, pp. 292–304. Springer, Heidelberg (2001)
Peled, D., Zuck, L.: From model checking to a temporal proof. In: Dwyer, M.B. (ed.) SPIN 2001. LNCS, vol. 2057, pp. 1–14. Springer, Heidelberg (2001)
Pnueli, A., Sa’ar, Y.: All you need is compassion. In: Logozzo, F., Peled, D.A., Zuck, L.D. (eds.) VMCAI 2008. LNCS, vol. 4905, pp. 233–247. Springer, Heidelberg (2008)
Pnueli, A., Zaks, A.: PSL model checking and run-time verification via testers. In: Misra, J., Nipkow, T., Sekerinski, E. (eds.) FM 2006. LNCS, vol. 4085, pp. 573–586. Springer, Heidelberg (2006)
Vardi, M., Wolper, P.: An automata-theoretic approach to automatic program verification. In: Proc. First IEEE Symp. Logic in Comp. Sci., pp. 332–344 (1986)
Zuck, L., Pnueli, A.: Model checking and abstraction to the aid of parameterized systems (a survey). Computer Languages, Systems & Structures 30(3-4), 139–169 (2004)
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Balaban, I., Pnueli, A., Zuck, L.D. (2010). Proving the Refuted: Symbolic Model Checkers as Proof Generators. In: Dams, D., Hannemann, U., Steffen, M. (eds) Concurrency, Compositionality, and Correctness. Lecture Notes in Computer Science, vol 5930. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11512-7_14
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