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Solving 3-satisfiability in less than 1, 579n steps

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Computer Science Logic (CSL 1992)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 702))

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Abstract

In this paper we describe and analyse an improved algorithm for solving the 3-Satisfiability problem. If F is a boolean formula in conjunctive normal form with n variables and r clauses, then we will show that this algorithm solves the Satisfiability problem for formulas with at most three literals per clause in time less than O(1,579n).

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References

  1. S. A. Cook, the Complexity of Theorem-Proving Procedures, Proc. 3rd Ann. ACM Symp. on Theory of Computing, New York, 1971, 151–158.

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  2. M. R. Garey and D. S. Johnson, Computers and Intractability, A Guide to the Theory of NP-Completeness, W. H. Freeman and Company, New York, 1979.

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  3. B. Monien and E. Speckenmeyer, Solving Satisfiability in less than 2 n Steps, Discrete Appl. Math. 10 (1985) 287–295.

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E. Börger G. Jäger H. Kleine Büning S. Martini M. M. Richter

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© 1993 Springer-Verlag Berlin Heidelberg

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Schiermeyer, I. (1993). Solving 3-satisfiability in less than 1, 579n steps. In: Börger, E., Jäger, G., Kleine Büning, H., Martini, S., Richter, M.M. (eds) Computer Science Logic. CSL 1992. Lecture Notes in Computer Science, vol 702. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-56992-8_22

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  • DOI: https://doi.org/10.1007/3-540-56992-8_22

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56992-3

  • Online ISBN: 978-3-540-47890-4

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