Geometric interpretation of propositional formulas

Abstract

We consider a method for logical analysis based on geometric interpretation of propositional formulas. A logical formula is represented as a unit hypercube in an orthogonal basis of dimension equal to the locality of the formula. It is shown that the analysis of cube intersections in accordance with simple visual criteria allows one to formulate logical axioms. The possibility to construct programming tools for estimating the truth of formulas according to visual perceptions is discussed.