Skip to main content

An Efficient Method for Solving UNSAT 3-SAT and Similar Instances via Static Decomposition

(Poster Presentation)

  • Conference paper
  • 2155 Accesses

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

Abstract

We present work that we have done so far towards devising a method for solving a specific case of SAT problems: UNSAT 3-SAT. Our goal is not to improve general SAT solving, but to focus on improving current techniques to solve 3- SAT and instances which have 2-SAT and 3-SAT structures within them. We have restricted ourselves to UNSAT instances. Even with these restrictions, these types of instances are still important, as such occur in practice (e.g. Velev’s hardware verification instances [5]).

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

References

  1. Eén, N., Sörensson, N.: An Extensible SAT-solver. In: Giunchiglia, E., Tacchella, A. (eds.) SAT 2003. LNCS, vol. 2919, pp. 502–518. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  2. Marques-Silva, J.P., Sakallah, K.A.: GRASP: a search algorithm for propositional satisfiability. IEEE Transactions on Computers 48(5), 506–521 (1999)

    Article  MathSciNet  Google Scholar 

  3. Gil, L., Flores, P., Silveira, L.M.: PMSat: a parallel version of minisat. Journal on Satisfiability, Boolean Modeling and Computation 6, 71–98 (2008)

    MathSciNet  Google Scholar 

  4. Moskewicz, W.M., Madigan, F.C., Zhao, Y., Zhang, L., Malik, S.: Chaff: engineering an efficient SAT solver. In: Proceedings of the 38th Annual Design Automation Conference, DAC 2001. ACM, New York (2001)

    Google Scholar 

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

  6. Kullmann, O.: Fundaments of Branching Heuristics. In: Biere, A., Heule, M., van Maaren, H., Walsh, T. (eds.) Handbook of Satisfiability. IOS Press (February 2009)

    Google Scholar 

  7. Heule, M., van Maaren, H.: Look-Ahead Based SAT Solvers. In: Biere, A., Heule, M., van Maaren, H., Walsh, T. (eds.) Handbook of Satisfiability. IOS Press (February 2009)

    Google Scholar 

  8. Dubois, O., Dequen, G.: A backbone-search heuristic for efficient solving of hard 3-SAT formulae. In: IJCAI 2001 Proceedings of the 17th International Joint Conference on Artificial Intelligence, vol. 1, pp. 971–978. Morgan Kaufmann Publishers Inc, San Francisco (2001) ISBN:1-55860-812-5 978-1-558-60812-2

    Google Scholar 

  9. Hyvärinen, A.E.J., Junttila, T.A., Niemelä, I.: A Distribution Method for Solving SAT in Grids. In: Biere, A., Gomes, C.P. (eds.) SAT 2006. LNCS, vol. 4121, pp. 430–435. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  10. Heule, M., Kullmann, O., Wieringa, S., Biere, A.: Cube and Conquer: Guiding CDCL SAT Solvers by Lookaheads. In: 7th Intl. Haifa Verification Conference (HVC 2011), Haifa, Israel (December 2011)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Demirović, E., Gavranović, H. (2012). An Efficient Method for Solving UNSAT 3-SAT and Similar Instances via Static Decomposition. 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_49

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-31612-8_49

  • 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)

Publish with us

Policies and ethics