ON STRUCTURAL ANALYSIS OF MANY VALUED LOGIC,

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)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1964
Accession Number
AD0604045

Entities

People

  • G. Gunther
  • H. S. H. Na
  • H. Von Foerster

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Civil Engineering
  • Engineering
  • Structural Analysis
  • Structural Properties

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Image Processing and Computer Vision.