FUNDAMENTALS OF THRESHOLD LOGIC.

Abstract

These notes on threshold logic are intended as intermediary material between a completely geometric, heuristic presentation and the more formal source material available in the literature. Basic definitions and simple properties of threshold function are developed, followed by a complete treatment of monotonicity theory - algorithms for positivization and ordering of arguments are given, both geometric and algebraic. Heuristic, Chow-parameter, and linear-program methods of test-synthesis are presented, along with discussions of reduction theory and partially specified functions. A geometric synthesis method for networks of 3-input majority gates is given, and the author's method of general network synthesis discussed geometrically. Two basic tables are included. Although only the more basic concepts have been treated, a complete bibliography is provided, together with suggestions for further reading. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0666650

Entities

People

  • Robert O. Winder

Organizations

  • Sarnoff Corporation

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Bibliographies
  • Evolutionary Algorithms
  • Heuristic Methods
  • Linear Programming
  • Literature
  • Materials
  • Mathematics
  • Simplex Method

Readers

  • Graph Algorithms and Convex Optimization.
  • Operations Research
  • Systems Analysis and Design