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; under-balanced, whenever m < n; and over-balanced 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