Mathematical basis for polySAT implication operator

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The 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 theory

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