MAGNETIC LOGICAL TRANSDUCERS.

Abstract

The central problem with respect to magnetic logical transducers is to find a means of expressing logical systems in a language more closely related to the physical nature of the magnetic logical transducer (as a threshold element) than the ordinary formulation in Boolean algebra. This report describes an approach to the problem using some of the techniques of lattice theory. A sufficient criterion for 3-monotonicity in sixvariable functions is also described in terms of lattice theory, and a theory of voting logic is advanced. Finally, the appendix gives recursive formulas for determining the input weights of magnetic logical transducers which will generate each of two particular complete, maximal chains of realizable functions for any number of variables. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1964
Accession Number
AD0431256

Entities

People

  • Oscar B. Stram
  • William F. Keenan

Tags

DTIC Thesaurus Topics

  • Boolean Algebra
  • Language
  • Transducers

Fields of Study

  • Mathematics

Readers

  • Computer Engineering
  • Graph Algorithms and Convex Optimization.
  • Parallel and Distributed Computing.