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An Improved \(\tilde{\mathcal{O}}(1.234^{m})\)-Time Deterministic Algorithm for SAT

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Algorithms and Computation (ISAAC 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3827))

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Abstract

We improve an upper bound by Hirsch on a deterministic algorithm for solving general CNF satisfiability problem. With more detail analysis of Hirsch’s algorithm, we give some improvements, by which we can prove an upper bound \(\tilde{\mathcal{O}}(1.234^{m})\) w.r.t. the number m of input clauses, which improves Hirsch’s bound \(\tilde{\mathcal{O}}(1.239^{m})\).

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References

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Yamamoto, M. (2005). An Improved \(\tilde{\mathcal{O}}(1.234^{m})\)-Time Deterministic Algorithm for SAT. In: Deng, X., Du, DZ. (eds) Algorithms and Computation. ISAAC 2005. Lecture Notes in Computer Science, vol 3827. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11602613_65

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  • DOI: https://doi.org/10.1007/11602613_65

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30935-2

  • Online ISBN: 978-3-540-32426-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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