Proceedings

A Structure-Based Variable Ordering Heuristic for SAT

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Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence. Pages 1167-1171.

Abstract

We propose a variable ordering heuristic for SAT, which is based on a structural analysis of the SAT problem. We show that when the heuristic is used by a Davis- Putnam SAT solver that employs conflict-directed backtracking, it produces a divide-and-conquer behavior in which the SAT problem is recursively decomposed into smaller problems that are solved independently. We discuss the implications of this divide-and-conquer behavior on our ability to provide structure-based guarantees on the complexity of Davis-Putnam SAT solvers. We also report on the integration of this heuristic with ZChaff-a state-of-the-art SAT solver-showing experimentally that it significantly improves performance on a range of benchmark problems that exhibit structure.

Jinbo Huang, and Adnan Darwiche. 2003. A Structure-Based Variable Ordering Heuristic for SAT. In Proceedings of the Eighteenth International Joint Conference on Artificial Intelligence, IJCAI-03. IJCAI, 1167–1171. https://ijcai.org/proceedings/2003/166
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