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Speeding-Up Non-clausal Local Search for Propositional Satisfiability with Clause Learning

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Theory and Applications of Satisfiability Testing – SAT 2008 (SAT 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4996))

Abstract

In this paper we discuss search heuristics for non-clausal stochastic local search procedures for propositional satisfiability. These heuristics are based on a new method for variable selection as well as a novel clause learning technique for dynamic input formula simplification as well as for guiding the search for a model.

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References

  1. Achlioptas, D., Jia, H., Moore, C.: Hiding Satisfying Assignments: Two are Better than One. J. of Artificial Intelligence Research 24, 623–639 (2005)

    MATH  MathSciNet  Google Scholar 

  2. Crawford, J.M., Kearns, M.J., Shapire, R.E.: The Minimal Disagreement Parity Problem as Hard Satisfiability Problem. Computational Intell. Research Lab and AT&T Bell Labs TR (1994)

    Google Scholar 

  3. Fang, H., Ruml, W.: Complete Local Search for Propositional Satisfiability. In: AAAI, pp. 161–166 (2004)

    Google Scholar 

  4. Hoos, H.H.: Local Search – Methods, Models, Applications. TU Dermstadt, FB Informatik, Darmstadt, Germany (1998)

    Google Scholar 

  5. Hoos, H.H.: On the Run-Time Behavior of Stochastic Local Search Algorithms for SAT. In: AAAI/IAAI, pp. 661–666 (1999)

    Google Scholar 

  6. Hoos, H.H.: An Adaptive Noise Mechanism for WalkSAT. In: AAAI, pp. 655–660 (2002)

    Google Scholar 

  7. Hoos, H.H., Stutzle, T.: Local Search Algorithms for SAT: An Empirical Evaluation. Journal of Automated Reasoning 24, 421–481 (2000)

    Article  MATH  Google Scholar 

  8. Hoos, H.H., Stutzle, T.: Stochastic Local Search: Foundations and Applications. Elsevier, Amsterdam (2005)

    MATH  Google Scholar 

  9. Kautz, H., Selman, B., McAllester, D.: Exploiting Variable Dependency in Local Search. In: IJCAI (1997)

    Google Scholar 

  10. Lynce, I., Marques-Silva, J.P.: An Overview of Backtrack Search Satisfiability Algorithms. Annals of Mathematics and Artificial Intelligence, 307–326 (2003)

    Google Scholar 

  11. McAllester, D., Selman, B., Kautz, H.: Evidence for Invariants in Local Search. In: AAAI, pp. 321–326 (1997)

    Google Scholar 

  12. Navarro, J.A., Voronkov, A.: Generation of Hard Non-Clausal Random Satisfiability Problems. In: AAAI, pp. 436–442 (2005)

    Google Scholar 

  13. Prestwich, S.D.: Variable Dependency in Local Search: Prevention Is Better Than Cure. In: Marques-Silva, J., Sakallah, K.A. (eds.) SAT 2007. LNCS, vol. 4501, pp. 107–120. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  14. Stachniak, Z.: Going Non-clausal. In: SAT, pp. 316–322 (2002)

    Google Scholar 

  15. Tompkins, D.A., Hoos, H.: UBCSAT: An Implementation and Experimentation Environment for SLS Algorithms for SAT and MAX-SAT. In: H. Hoos, H., Mitchell, D.G. (eds.) SAT 2004. LNCS, vol. 3542, pp. 306–320. Springer, Heidelberg (2005)

    Google Scholar 

  16. Velev, M.: Miroslav Velev’s SAT Benchmarks, http://www.miroslav-velev.com/sat_benchmarks.html

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Hans Kleine Büning Xishun Zhao

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© 2008 Springer-Verlag Berlin Heidelberg

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Stachniak, Z., Belov, A. (2008). Speeding-Up Non-clausal Local Search for Propositional Satisfiability with Clause Learning. In: Kleine Büning, H., Zhao, X. (eds) Theory and Applications of Satisfiability Testing – SAT 2008. SAT 2008. Lecture Notes in Computer Science, vol 4996. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79719-7_24

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  • DOI: https://doi.org/10.1007/978-3-540-79719-7_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79718-0

  • Online ISBN: 978-3-540-79719-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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