Mathematical basis for polySAT implication operator

TL;DR

This paper explores the mathematical foundations of the implication operator used in the polySAT algorithm, providing an intuitive and visual explanation of its underlying principles.

Contribution

It offers a conceptual understanding of the implication operator's mathematical basis without rigorous symbolic mathematics, enhancing interpretability.

Findings

Clarifies the mathematical basis of the implication operator

Provides visual and intuitive explanations of its function

Supports the development of more understandable polySAT algorithms

Abstract

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.