The paper compares two popular strategies for solving propositional satisfiability, backtracking search and resolution, and analyzes the complexity of a directional resolution algorithm (DR) as a function of the "width" (w) of the problem's graph. The paper also emphasizes the knowledge-compilation properties of DR and extends it to a tree-clustering algorithm that facilitates query answering. Finally, the paper proposes two hybrid algorithms that combine the advantages of both DR and DP.
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