
Accession Number : AD0604045
Title : ON STRUCTURAL ANALYSIS OF MANY VALUED LOGIC,
Corporate Author : ILLINOIS UNIV URBANA ENGINEERING EXPERIMENT STATION
Personal Author(s) : Na,H. S. H. ; Von Foerster,H. ; Gunther,G.
Report Date : APR 1964
Pagination or Media Count : 169
Abstract : Traditional logic deals with systems of two binary variables, i.e., each variable being two valued. Boolean system deals with n binary variables. In this paper systems with n variables, each being m valued, are studied. Such systems are divided into three classes: balanced, whenever n = m; underbalanced, whenever m < n; and overbalanced whenever m > n. Some of the structural properties of these systems, e.g., reducibility and decomposability, as well as those of the components (i.e., individual functions), e.g., resolvability are considered. Relations among various (m, n)systems are partially established. (Author)
Descriptors : (*MATHEMATICAL LOGIC, FUNCTIONS(MATHEMATICS)), (*FUNCTIONS(MATHEMATICS), MATHEMATICAL LOGIC), SET THEORY, STATISTICAL DISTRIBUTIONS, SYNTHESIS
Distribution Statement : APPROVED FOR PUBLIC RELEASE