2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/31262The mathematical basis motivating the "implication operator" of the polySAT algorithm and its function is examined. Such is not undertaken with onerous rigor of symbolic mathematics; a more intuitive visual appeal being employed to present some of the mathematical premises underlying function of the implication operator.7 pages, 7 figures. Keywords: algorithms, complexity, computation theory, satisfiability, group theory, field theory, set theoryComputational ComplexityLogic in Computer ScienceF.2.2;F.1.1text