Abstract

Davis-Putnam (DP) [3] was the first practical complete algorithm for solving propositional satisfiability (SAT) problems. DP uses resolution to determine whether a SAT problem instance is satisfiable. However, resolution is generally impractical, as it can use exponential space and time. The most important refinement to DP was DLL [2], which replaced the resolution in DP with backtracking search. Backtracking search still uses exponential time in the worst case, but only needs linear space. As time is more readily available than space, the change to search was a big improvement.

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