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The lower and upper bound of any given algorithm is one of the most crucialpieces of information needed when evaluating the computational effectivenessfor said algorithm. Here a novel method of Boolean Algebraic Programming forsymbolic manipulation of Machines, Functions, and Inputs is presented whichallows for direct analysis of time complexities and proof of deterministicmethodologies. It is demonstrated through the analysis of a particular problemwhich is proven and solved through the application of Boolean algebraicprogramming.

Boolean Algebraic Programs as a Methodology for Symbolically Demonstrating Lower and Upper Bounds of Algorithms and Determinism