Standalone SAT verification and NP-completeness
This facade exposes the canonical raw assignment format, total checker, exact
all-input acceptance semantics, and linear certificate bound for SAT.
It also exposes a fixed polynomial-time reduction-backed verifier and the
public SAT_mem_ClassNP and SAT_npComplete theorems. Compiling the
smaller assignment checker itself to a fixed machine remains an optional
implementation refinement.