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Two new upper bounds for SAT

Published: 01 January 1998 Publication History
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References

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E. Dantsin, Tautology proof systems based on the splitting method, Leningrad Division of Steklov Institute of Mathematics (LOMI), PhD Dissertation, Leningrad, 1982 (in Russian).
[2]
E. Dantsin and L. O. Fuentes and V. Kreinovich, Less than 2~ satisfiability algorithm extended to the case when almost all clauses are short, Computer Science Department, University ot' Texas at E1 Paso, UTEP- CS-91-5, 1991.
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E. Ya. Dantsin, V. Ya. Kreinovich, Exponential upper bounds for the satisfiability problem, Proc. of the IX USSR conf. on math. logic, Leningrad, 1988 (in Russian).
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M. Davis, G. Logemann, D. Loveland, A machine program for theorem-proving, Comm. ACM, vol. 5, 1962, pp. 394-397.
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M. Davis, H. Putnam, A computing procedure for quantification theory, J. ACM, vol. 7, 1960, pp. 201-215.
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E. A. Hirsch, Separating the signs in the satisfiability problem, Zap. nauchn, semin. POMI, vol. 241, 1997 (in Russian). To appear. English translation of this collection is to appear in 1999.
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O. Kullmann, Worst-case analysis, 3-SAT decision and lower bounds: approaches for improved SAT algorithms, DIMACS Proc. SAT Workshop 1996, AMS, 1996.
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O. Kullmarm, H. Luckhardt, Deciding propositional tautologies: Algorithms and their complexity, submitted to Information and Computation, 1997.
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H. Luckhardt, Obere Komplexith'tsschranken fiir TA UT-Entscheidungen, Proc. Frege Conference 1984, Schwerine, Akademie-Verlag Berline, pp. 331-337.
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B. Monien, E. Speckenmeyer, 3-satisfiability is testable in O(1.62r) steps, Bericht Nr. 3/1979, Reihe Theoretische Informatik, Universit/it-Gesamthochschule- Paderborn.
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B. Monien, E. Speckenmeyer, Upper bounds for covering problems, Bericht Nr. 7/1980, Reihe Theoretische Informatik, Universit/it- Gesamthochschule-Paderborn.
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B. Monien, E. Speckenmeyer, Solving satisfiability in less then 2n steps, Discrete Applied Mathematics, vol. 10, 1985, pp. 287-295.
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J. A. Robinson, Generalized resolution principle, Machine Intelligence, vol. 3, 1968, pp. 77-94.
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I. Schiermeyer, Solving 3-satisfiability in less than 1.579" steps, LNCS 702, 1993, pp. 379-394.
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I. Schiermeyer, Pure literal look ahead: An 0(1.497") 3- Satisfiability algorithm, Workshop on the Satisfiability Problem, Technical Report, Siena, April, 29- May, 3, 1996; University KSln, Report No. 96-230.

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  • (2018)Towards tight approximation bounds for graph diameter and eccentricitiesProceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing10.1145/3188745.3188950(267-280)Online publication date: 20-Jun-2018
  • (2015)Matching Triangles and Basing Hardness on an Extremely Popular ConjectureProceedings of the forty-seventh annual ACM symposium on Theory of Computing10.1145/2746539.2746594(41-50)Online publication date: 14-Jun-2015
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cover image ACM Conferences
SODA '98: Proceedings of the ninth annual ACM-SIAM symposium on Discrete algorithms
January 1998
704 pages
ISBN:0898714109

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Society for Industrial and Applied Mathematics

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Published: 01 January 1998

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SODA98: 1998 Conference on Discrete Algorithms
January 25 - 27, 1998
California, San Francisco, USA

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Overall Acceptance Rate 411 of 1,322 submissions, 31%

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Cited By

View all
  • (2018)Some Open Problems in Fine-Grained ComplexityACM SIGACT News10.1145/3300150.330015849:4(29-35)Online publication date: 15-Dec-2018
  • (2018)Towards tight approximation bounds for graph diameter and eccentricitiesProceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing10.1145/3188745.3188950(267-280)Online publication date: 20-Jun-2018
  • (2015)Matching Triangles and Basing Hardness on an Extremely Popular ConjectureProceedings of the forty-seventh annual ACM symposium on Theory of Computing10.1145/2746539.2746594(41-50)Online publication date: 14-Jun-2015
  • (2013)Fast approximation algorithms for the diameter and radius of sparse graphsProceedings of the forty-fifth annual ACM symposium on Theory of Computing10.1145/2488608.2488673(515-524)Online publication date: 1-Jun-2013
  • (2002)Faster exact solutions for some NP-hard problemsTheoretical Computer Science10.1016/S0304-3975(01)00257-2287:2(473-499)Online publication date: 28-Sep-2002
  • (2001)Improved algorithms for 3-coloring, 3-edge-coloring, and constraint satisfactionProceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms10.5555/365411.365471(329-337)Online publication date: 9-Jan-2001
  • (2000)New Worst-Case Upper Bounds for SATJournal of Automated Reasoning10.1023/A:100634092010424:4(397-420)Online publication date: 1-May-2000
  • (2000)SAT Local Search AlgorithmsJournal of Automated Reasoning10.1023/A:100631852118524:1-2(127-143)Online publication date: 1-Feb-2000

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