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Add NAESatisfiability → Satisfiability clause-doubling reduction (#1101) - #1210
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Closes #1101
Summary
NAESatisfiabilitytoSatisfiability(src/rules/naesatisfiability_satisfiability.rs), mapping each NAE clause(l_1, ..., l_r)to(l_1 OR ... OR l_r)and(not l_1 OR ... OR not l_r)over the samenvariables with identity witness extraction.num_vars,2 * num_clauses,2 * num_literals) and paper documentation (docs/paper/reductions.typ).src/unit_tests/rules/naesatisfiability_satisfiability.rscovering the empty conjunction, canonical 3-variable truth-table equivalence across all 8 assignments, monochromatic 1-variable unsatisfiable clause, repeated literals, tautological clauses, and higher-arity clauses.