Three-Valued Propositional Calculus of Lukasiewicz. and Three-Position Double Switches

This paper establishes a clear relation between the trivalent propositional calculus of Lukasiewicz and circuits with double switches of three positions. Adequate alphabet, language and semantics are defined in order to accomplish the aforesaid relation. Two circuit configuration properties occur: an axial symmetry, consequence of the duality exhibited by the Lukasiewicz's algebras, and a superposition phenomenon, closely related to the language. Finally, series and parallel Boolean electrical connections appear as a part of Lukasiewicz's infimum and supreme.