Skip to main content

ZRes: The Old Davis–Putnam Procedure Meets ZBDD

  • Conference paper
Automated Deduction - CADE-17 (CADE 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1831))

Included in the following conference series:

Abstract

ZRes is a propositional prover based on the original procedure of Davis and Putnam, as opposed to its modified version of Davis, Logeman and Loveland, on which most of the current efficient SAT provers are based. On some highly structured SAT instances, such as the well known Pigeon Hole and Urquhart problems, both proved hard for resolution, ZRes performs very well and surpasses all classical SAT provers by an order of magnitude.

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

Access this chapter

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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bryant, R.E.: Graph - based algorithms for boolean function manipulation. IEEE Trans. on Comp. 35(8), 677–691 (1986)

    Article  MATH  Google Scholar 

  2. Chatalic, P., Simon, L.: Davis and putnam 40 years later: a first experimentation. Technical Report 1237, LRI, Orsay, France (2000), submitted to the Journal of Automated Reasoning

    Google Scholar 

  3. Davis, M., Putnam, H.: A computing procedure for quantification theory. Journal of the ACM, 201–215 (1960)

    Google Scholar 

  4. de Kleer, J.: An improved incremental algorithm for generating prime implicates. In: AAAI 1992, pp. 780–785 (1992)

    Google Scholar 

  5. Dechter, R., Rish, I.: Directional resolution: The Davis–Putnam procedure, revisited. In: Proceedings of KR 1994, pp. 134–145 (1994)

    Google Scholar 

  6. The DIMACS challenge benchmarks, ftp://ftp.rutgers.dimacs.edu/challenges/sat

  7. Drechsler, R., Becker, B.: Binary Decision Diagram: Theory and Implementation. Kluwer Academic Publisher, Dordrecht (1998)

    Google Scholar 

  8. Dubois, O.: Can a very simple algorithm be efficient for SAT?, ftp://ftp.dimacs.rutgers.edu/pub/challenges/sat/contributed/dubois

  9. Galil, Z.: On the complexity of regular resolution and the Davis–Putnam procedure. Theorical Computer Science 4, 23–46 (1977)

    Article  MATH  MathSciNet  Google Scholar 

  10. Haken, A.: The intractability of resolution. Theorical Computer Science 39, 297–308 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  11. Logeman, G., Davis, M., Loveland, D.: A machine program for theorem-proving. Communications of the ACM, 394–397 (1962)

    Google Scholar 

  12. Minato, S.: Zero-suppressed bdds for set manipulation in combinatorial problems. In: 30th ACM/IEEE Design Automation Conference (1993)

    Google Scholar 

  13. Somenzy, F.: Cudd release 2.3.0., http://bessie.colorado.edu/~fabio

  14. Urquhart, A.: Hard examples for resolution. Journal of the ACM 34, 209–219 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  15. Zhang, H.: SATO: An efficient propositional prover. In: McCune, W. (ed.) CADE 1997. LNCS, vol. 1249, pp. 272–275. Springer, Heidelberg (1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Chatalic, P., Simon, L. (2000). ZRes: The Old Davis–Putnam Procedure Meets ZBDD. In: McAllester, D. (eds) Automated Deduction - CADE-17. CADE 2000. Lecture Notes in Computer Science(), vol 1831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10721959_35

Download citation

  • DOI: https://doi.org/10.1007/10721959_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67664-5

  • Online ISBN: 978-3-540-45101-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics