Why it matters

SAT reductions enable practical solving. Understanding shapes technique.

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The architecture

Encode problem variables + constraints as CNF.

Feed to SAT solver.

Decode solution.

SAT-based solvingProblemcombinatorialCNF encodingvars + clausesSAT solverMiniSat / GlucoseModern SAT solvers handle millions of variables; alternative to NP-hard heuristics
SAT reduction.
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How it works end to end

Boolean vars encode choices.

Clauses encode constraints.

CDCL solvers (MiniSat, Glucose, Kissat).