Skip to main content

Exact MinSAT Solving

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6175))

Abstract

We present an original approach to exact MinSAT solving based on solving MinSAT using MaxSAT encodings and MaxSAT solvers, and provide empirical evidence that our generic approach is competitive.

Research supported by Generalitat de Catalunya (2009-SGR-1434), and Ministerio de Ciencia e Innovación (CONSOLIDER CSD2007-0022, INGENIO 2010,TIN2007-68005-C04-04, Acción Integrada HA2008-0017). Acknowledgements: The MinSAT problem was originally asked by Laurent Simon to the first author.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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 

  2. Goldstein, A., Kolman, P., Zheng, J.: Minimum common string partition problem: Hardness and approximations. Electr. J. Comb. 12 (2005)

    Google Scholar 

  3. Konc, J., Janezic, D.: An improved branch and bound algorithm for the maximum clique problem. Communications in Mathematical and in Computer Chemistry 58, 569–590 (2007)

    MathSciNet  MATH  Google Scholar 

  4. Li, C.M., Manyà, F.: Max-SAT, hard and soft constraints. In: Biere, A., van Maaren, H., Walsh, T. (eds.) Handbook of Satisfiability, pp. 613–631. IOS Press, Amsterdam (2009)

    Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  6. Marathe, M.V., Ravi, S.S.: On approximation algorithms for the minimum satisfiability problem. Information Processing Letters 58, 23–29 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  7. Manquinho, V.M., Silva, J.P.M., 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 

  8. Ostergard, P.R.J.: A fast algorithm for the maximum clique problem. Discrete Applied Mathematics 120, 197–207 (2002)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Li, C.M., Manyà, F., Quan, Z., Zhu, Z. (2010). Exact MinSAT Solving. In: Strichman, O., Szeider, S. (eds) Theory and Applications of Satisfiability Testing – SAT 2010. SAT 2010. Lecture Notes in Computer Science, vol 6175. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14186-7_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-14186-7_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14185-0

  • Online ISBN: 978-3-642-14186-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics