Abstract
The recently introduced model checking algorithm, IC3, has proved to be among the best SAT-based safety model checkers. Many implementations now exist. This paper provides the context from which IC3 was developed and explains how the originator of the algorithm understands it. Then it draws parallels between IC3 and the subsequently developed algorithms, FAIR and IICTL, which extend IC3’s ideas to the analysis of ω-regular and CTL properties, respectively. Finally, it draws attention to certain challenges that these algorithms pose for the SAT and SMT community.
Work supported in part by the Semiconductor Research Corporation under contract GRC 2271.
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References
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)
Bradley, A.R.: k-step relative inductive generalization. Technical report, CU Boulder (March 2010), http://arxiv.org/abs/1003.3649
Bradley, A.R.: SAT-Based Model Checking without Unrolling. In: Jhala, R., Schmidt, D. (eds.) VMCAI 2011. LNCS, vol. 6538, pp. 70–87. Springer, Heidelberg (2011)
Bradley, A.R., Manna, Z.: Checking safety by inductive generalization of counterexamples to induction. In: FMCAD (November 2007)
Bradley, A.R., Manna, Z.: Verification Constraint Problems with Strengthening. In: Barkaoui, K., Cavalcanti, A., Cerone, A. (eds.) ICTAC 2006. LNCS, vol. 4281, pp. 35–49. Springer, Heidelberg (2006)
Bradley, A.R., Somenzi, F., Hassan, Z., Zhang, Y.: An incremental approach to model checking progress properties. In: FMCAD (November 2011)
Colón, M.A., Sankaranarayanan, S., Sipma, H.B.: Linear Invariant Generation Using Non-linear Constraint Solving. In: Hunt Jr., W.A., Somenzi, F. (eds.) CAV 2003. LNCS, vol. 2725, pp. 420–432. Springer, Heidelberg (2003)
Cousot, P., Cousot, R.: Abstract interpretation: A unified lattice model for static analysis of programs by construction or approximation of fixpoints. In: POPL (1977)
Cousot, P., Halbwachs, N.: Automatic discovery of linear restraints among variables of a program. In: POPL (January 1978)
Graf, S., Saidi, H.: Construction of Abstract state Graphs with PVS. In: Grumberg, O. (ed.) CAV 1997. LNCS, vol. 1254, pp. 73–83. Springer, Heidelberg (1997)
Hassan, Z., Bradley, A.R., Somenzi, F.: Incremental, inductive CTL model checking. In: CAV (July 2012)
Lu, F., Iyer, M.K., Parthasarathy, G., Wang, L.-C., Cheng, K.-T., Chen, K.C.: An Efficient Sequential SAT Solver With Improved Search Strategies. In: DATE (2005)
Manna, Z., Pnueli, A.: Temporal Verification of Reactive Systems: Safety. Springer, New York (1995)
McMillan, K.L.: Applying SAT Methods in Unbounded Symbolic Model Checking. In: Brinksma, E., Larsen, K.G. (eds.) CAV 2002. LNCS, vol. 2404, pp. 250–264. Springer, Heidelberg (2002)
McMillan, K.L.: Interpolation and SAT-Based Model Checking. In: Hunt Jr., W.A., Somenzi, F. (eds.) CAV 2003. LNCS, vol. 2725, pp. 1–13. Springer, Heidelberg (2003)
McMillan, K.L.: Symbolic Model Checking. Kluwer, Boston (1994)
Sankaranarayanan, S., Sipma, H.B., Manna, Z.: Scalable Analysis of Linear Systems Using Mathematical Programming. In: Cousot, R. (ed.) VMCAI 2005. LNCS, vol. 3385, pp. 25–41. Springer, Heidelberg (2005)
Sheeran, M., Singh, S., Stålmarck, G.: Checking Safety Properties Using Induction and a SAT-Solver. In: Johnson, S.D., Hunt Jr., W.A. (eds.) FMCAD 2000. LNCS, vol. 1954, pp. 108–125. Springer, Heidelberg (2000)
Somenzi, F., Bradley, A.R.: IC3: Where monolithic and incremental meet. In: FMCAD (November 2011)
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Bradley, A.R. (2012). Understanding IC3. In: Cimatti, A., Sebastiani, R. (eds) Theory and Applications of Satisfiability Testing – SAT 2012. SAT 2012. Lecture Notes in Computer Science, vol 7317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31612-8_1
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DOI: https://doi.org/10.1007/978-3-642-31612-8_1
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