Abstract:
This paper presents a new theory of self-correction in circuits, one which differs from earlier methods by being completely based upon properties of Boolean functions, thus guaranteeing the universality of the methods which have already been developed. The principal result is the construction of a self-correcting, information-nonredundant Boolean function expansion, which admits an analogue in any nontrivial control system and permits the construction of asymptotically nonredundant self-correcting circuits. The Boolean functions include a broad spectrum of special classes.
Bibliography: 19 titles.