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Symmetry 2010, 2(2), 1121-1134; doi:10.3390/sym2021121

Symmetry in Boolean Satisfiability

American University of Sharjah, P.O. Box 26666, Sharjah, United Arab Emirates
Received: 31 December 2009 / Revised: 14 May 2010 / Accepted: 9 June 2010 / Published: 11 June 2010
(This article belongs to the Special Issue Feature Papers: Symmetry Concepts and Applications)
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This paper reviews recent approaches on how to accelerate Boolean Satisfiability (SAT) search by exploiting symmetries in the problem space. SAT search algorithms traverse an exponentially large search space looking for an assignment that satisfies a set of constraints. The presence of symmetries in the search space induces equivalence classes on the set of truth assignments. The goal is to use symmetries to avoid traversing all assignments by constraining the search to visit a few representative assignments in each equivalence class. This can lead to a significant reduction in search runtime without affecting the completeness of the search.
Keywords: boolean satisfiability; symmetries; search boolean satisfiability; symmetries; search
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Aloul, F.A. Symmetry in Boolean Satisfiability. Symmetry 2010, 2, 1121-1134.

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