Journal article


Exploiting Independent Subformulas: A Faster Approximation Scheme for #k-SAT


Publication Details
Author(s): Schmitt M, Wanka R
Publisher: Elsevier
Publication year: 2013
Volume: 113
Pages range: 337-344
ISSN: 0020-0190

Abstract

We present an improvement on Thurley's recent randomized approximation scheme for #k-SAT where the task is to count the number of satisfying truth assignments of a Boolean function Φ given as an n-variable k-CNF. We introduce a novel way to identify independent substructures of Φ and can therefore reduce the size of the search space considerably. Our randomized algorithm works for any k. For #3-SAT, it runs in time O(ε- 2×1.51426n), for #4-SAT, it runs in time O(ε-2×1.60816n), with error bound ε. © 2013 Elsevier B.V. All rights reserved.



How to cite
APA: Schmitt, M., & Wanka, R. (2013). Exploiting Independent Subformulas: A Faster Approximation Scheme for #k-SAT. Information Processing Letters, 113, 337-344. https://dx.doi.org/10.1016/j.ipl.2013.02.013

MLA: Schmitt, Manuel, and Rolf Wanka. "Exploiting Independent Subformulas: A Faster Approximation Scheme for #k-SAT." Information Processing Letters 113 (2013): 337-344.

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