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A new framework for presenting and analyzing the functionality of a modernDLL-based SAT solver is proposed. Our approach exploits the inherent relationbetween backtracking and resolution. We show how to derive the algorithm of amodern SAT solver from DLL step-by-step. We analyze the inference power ofBoolean Constraint Propagation, Non-Chronological Backtracking and 1UIP-basedConflict-Directed Backjumping. Our work can serve as an introduction to amodern SAT solver functionality and as a basis for future work on the inferencepower of a modern SAT solver and on practical SAT solver design.

From Total Assignment Enumeration to Modern SAT Solver