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Improvements to Core-Guided Binary Search for MaxSAT

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Theory and Applications of Satisfiability Testing – SAT 2012 (SAT 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7317))

Abstract

Maximum Satisfiability (MaxSAT ) and its weighted variants are well-known optimization formulations of Boolean Satisfiability (SAT). Motivated by practical applications, recent years have seen the development of core-guided algorithms for MaxSAT. Among these, core-guided binary search with disjoint cores (BCD ) represents a recent robust solution. This paper identifies a number of inefficiencies in the original BCD algorithm, related with the computation of lower and upper bounds during the execution of the algorithm, and develops solutions for them. In addition, the paper proposes two additional novel techniques, which can be implemented on top of core-guided MaxSAT algorithms that maintain both lower and upper bounds. Experimental results, obtained on representative problem instances, indicate that the proposed optimizations yield significant performance gains, and allow solving more problem instances.

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References

  1. Andraus, Z.S., Liffiton, M.H., Sakallah, K.A.: Reveal: A Formal Verification Tool for Verilog Designs. In: Cervesato, I., Veith, H., Voronkov, A. (eds.) LPAR 2008. LNCS (LNAI), vol. 5330, pp. 343–352. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  2. Ansótegui, C., Bonet, M.L., Levy, J.: Solving (Weighted) Partial MaxSAT through Satisfiability Testing. In: Kullmann, O. (ed.) SAT 2009. LNCS, vol. 5584, pp. 427–440. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  3. Ansótegui, C., Bonet, M.L., Levy, J.: A new algorithm for weighted partial maxsat. In: AAAI Conference on Artificial Intelligence. AAAI (2010)

    Google Scholar 

  4. Biere, A., Heule, M., van Maaren, H., Walsh, T. (eds.): Handbook of Satisfiability (2009)

    Google Scholar 

  5. Borchers, B., Furman, J.: A two-phase exact algorithm for max-sat and weighted max-sat problems. J. Comb. Optim. 2(4), 299–306 (1998)

    Article  MathSciNet  Google Scholar 

  6. Fu, Z., Malik, S.: On Solving the Partial MAX-SAT Problem. In: Biere, A., Gomes, C.P. (eds.) SAT 2006. LNCS, vol. 4121, pp. 252–265. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  7. Heras, F., Larrosa, J., Oliveras, A.: MiniMaxSat: An efficient weighted Max-SAT solver. JAIR 31, 1–32 (2008)

    MathSciNet  MATH  Google Scholar 

  8. Heras, F., Morgado, A., Marques-Silva, J.: Core-guided binary search algorithms for maximum satisfiability. In: AAAI (2011)

    Google Scholar 

  9. Jose, M., Majumdar, R.: Cause clue clauses: error localization using maximum satisfiability. In: PLDI, pp. 437–446 (2011)

    Google Scholar 

  10. Koshimura, M., Zhang, T., Fujita, H., Hasegawa, R.: QMaxSAT: A partial Max-SAT solver. JSAT, 95–100 (2012)

    Google Scholar 

  11. Larrosa, J., Heras, F., de Givry, S.: A logical approach to efficient Max-SAT solving. Artificial Intelligence 172(2-3), 204–233 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  12. Li, C.M., Manyà, F., Planes, J.: New inference rules for Max-SAT. Journal of Artificial Intelligence Research 30, 321–359 (2007)

    MathSciNet  Google Scholar 

  13. Liffiton, M.H., Sakallah, K.A.: Algorithms for computing minimal unsatisfiable subsets of constraints. J. Autom. Reasoning 40(1), 1–33 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  14. Manquinho, V., Marques-Silva, J., Planes, J.: Algorithms for Weighted Boolean Optimization. In: Kullmann, O. (ed.) SAT 2009. LNCS, vol. 5584, pp. 495–508. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  15. Marques-Silva, J., Argelich, J., Graca, A., Lynce, I.: Boolean lexicographic optimization: Algorithms and applications. Annals of Mathematics and A. I., 1–27 (2011)

    Google Scholar 

  16. Marques-Silva, J., Planes, J.: Algorithms for maximum satisfiability using unsatisfiable cores. In: DATE, pp. 408–413 (2008)

    Google Scholar 

  17. Morgado, A., Heras, F., Marques-Silva, J.: The MSUnCore MaxSAT solver. In: POS (2011)

    Google Scholar 

  18. Reiter, R.: A theory of diagnosis from first principles. Artif. Intell. 32(1), 57–95 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  19. Safarpour, S., Mangassarian, H., Veneris, A., Liffiton, M.H., Sakallah, K.A.: Improved design debugging using maximum satisfiability. In: FMCAD (2007)

    Google Scholar 

  20. Zhang, L., Malik, S.: Validating sat solvers using an independent resolution-based checker: Practical implementations and other applications. In: DATE, pp. 10880–10885 (2003)

    Google Scholar 

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Morgado, A., Heras, F., Marques-Silva, J. (2012). Improvements to Core-Guided Binary Search for MaxSAT. 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_22

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  • DOI: https://doi.org/10.1007/978-3-642-31612-8_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31611-1

  • Online ISBN: 978-3-642-31612-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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