Analytic determination of values on the truth table: possible implications

Abstract

The paper refers to the traditional approach used in the specification of values on the statement constant columns of the truth table as pictorial. It differentiates it from the α^y_x coordinate model, which it introduces as an analytic approach for the achievement of the same objective. The coordinate is stated as: α^x_y= x /2(²ⁿ/_2y) . The αyx is shown by analysis to derive from the coordinate of x and y as α^y_x= ^x/_y . y is shown to derive from the coefficient of C_y and C_y=²ⁿ/_2y(T,F)^2y/₂. C_y is an algebraic function introduced in the paper for the computation of truth table columns. The paper shows by implication that the delineation of the value of any truth table unit no longer stands in need of pictorial aids due to the introduction of the coordinate. Results from analysis shows that the specific value of a truth table unit could be determined set theoretically, without an actual truth table provided the α^y_x coordinate is applied.

Keywords: Algebraic Function, Coordinate, Columns, Rows, Truth Table, Truth Value