The MathSAT 4 SMT Solver

Tool Paper
  • Roberto Bruttomesso
  • Alessandro Cimatti
  • Anders Franzén
  • Alberto Griggio
  • Roberto Sebastiani
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5123)

Abstract

We present MathSAT 4, a state-of-the-art SMT solver. MathSAT 4 handles several useful theories: (combinations of) equality and uninterpreted functions, difference logic, linear arithmetic, and the theory of bit-vectors. It was explicitly designed for being used in formal verification, and thus provides functionalities which extend the applicability of SMT in this setting. In particular: model generation (for counterexample reconstruction), model enumeration (for predicate abstraction), an incremental interface (for BMC), and computation of unsatisfiable cores and Craig interpolants (for abstraction refinement).

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Barrett, C., Nieuwenhuis, R., Oliveras, A., Tinelli, C.: Splitting on Demand in SAT Modulo Theories. In: Hermann, M., Voronkov, A. (eds.) LPAR 2006. LNCS (LNAI), vol. 4246, pp. 512–526. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  2. 2.
    Bozzano, M., Bruttomesso, R., Cimatti, A., Junttila, T., van Rossum, P., Ranise, S., Sebastiani, R.: Efficient Theory Combination via Boolean Search. Information and Computation 204(10) (2006)Google Scholar
  3. 3.
    Bozzano, M., Bruttomesso, R., Cimatti, A., Junttila, T., van Rossum, P., Schulz, S., Sebastiani, R.: MathSAT: Tight Integration of SAT and Mathematical Decision Procedures. Journal of Automated Reasoning 35(1-3) (2005)Google Scholar
  4. 4.
    Bruttomesso, R., Cimatti, A., Franzen, A., Griggio, A., Hanna, Z., Nadel, A., Palti, A., Sebastiani, R.: A Lazy and Layered SMT(BV) Solver for Hard Industrial Verification Problems. In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 547–560. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  5. 5.
    Bruttomesso, R., et al.: To Ackermann-ize or Not to Ackermann-ize? On Efficiently Handling Uninterpreted Function Symbols in SMT(EUF∪T). In: Hermann, M., Voronkov, A. (eds.) LPAR 2006. LNCS (LNAI), vol. 4246, pp. 557–571. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  6. 6.
    Cavada, R., Cimatti, A., Franzén, A., Kalyanasundaram, K., Roveri, M., Shyamasundar, R.: Computing Predicate Abstractions by Integrating BDDs and SMT Solvers. In: FMCAD, IEEE Computer Society, Los Alamitos (2007)Google Scholar
  7. 7.
    Cimatti, A., Clarke, E., Giunchiglia, E., Giunchiglia, F., Pistore, M., Roveri, M., Sebastiani, R., Tacchella, A.: NuSMV 2: An OpenSource Tool for Symbolic Model Checking. In: Brinksma, E., Larsen, K.G. (eds.) CAV 2002. LNCS, vol. 2404, Springer, Heidelberg (2002)CrossRefGoogle Scholar
  8. 8.
    Cimatti, A., Griggio, A., Sebastiani, R.: A Simple and Flexible Way of Computing Small Unsatisfiable Cores in SAT Modulo Theories. In: Marques-Silva, J., Sakallah, K.A. (eds.) SAT 2007. LNCS, vol. 4501, pp. 334–339. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  9. 9.
    Cimatti, A., Griggio, A., Sebastiani, R.: Efficient Interpolant Generation in Satisfiability Modulo Theories. In: TACAS. LNCS, vol. 4963, Springer, Heidelberg (2008)Google Scholar
  10. 10.
    Cotton, S., Maler, O.: Fast and Flexible Difference Constraint Propagation for DPLL(T). In: Biere, A., Gomes, C.P. (eds.) SAT 2006. LNCS, vol. 4121, pp. 170–183. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  11. 11.
    de Moura, L., Bjorner, N.: Model-based theory combination. In: SMT 2007 (2007)Google Scholar
  12. 12.
    Dutertre, B., de Moura, L.: A Fast Linear-Arithmetic Solver for DPLL(T). In: Ball, T., Jones, R.B. (eds.) CAV 2006. LNCS, vol. 4144, pp. 81–94. Springer, Heidelberg (2006)CrossRefGoogle Scholar
  13. 13.
    McMillan, K.: An interpolating theorem prover. Theor. Comp. Sci. 345(1) (2005)Google Scholar
  14. 14.
    Nieuwenhuis, R., Oliveras, A.: Proof-Producing Congruence Closure. In: Giesl, J. (ed.) RTA 2005. LNCS, vol. 3467, pp. 453–468. Springer, Heidelberg (2005)Google Scholar
  15. 15.
    Rakamarić, Z., Bruttomesso, R., Hu, A.J., Cimatti, A.: Verifying Heap Manipulating Programs in an SMT Framework. In: Namjoshi, K.S., Yoneda, T., Higashino, T., Okamura, Y. (eds.) ATVA 2007. LNCS, vol. 4762, pp. 237–252. Springer, Heidelberg (2007)CrossRefGoogle Scholar
  16. 16.
    Sebastiani, R.: Lazy Satisfiability Modulo Theories. Journal on Satisfiability, Boolean Modeling and Computation, JSAT 3, 141–224 (2007)MATHMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Roberto Bruttomesso
    • 1
  • Alessandro Cimatti
    • 1
  • Anders Franzén
    • 1
  • Alberto Griggio
    • 2
  • Roberto Sebastiani
    • 2
  1. 1.FBK-IRSTPovoItaly
  2. 2.DISIUniversità di TrentoItaly

Personalised recommendations