SPECTRAL ANALYSIS OF SOME INDEPENDENCES OF MULTIPLE-VALUED LOGICAL FUNCTIONS FROM THEIR VARIABLES
多值逻辑函数与其变元的几种无关性的谱分析

There are many kinds of special relationships between multiple-valued logical functions and their variables, and it is difficult to be judged from their expressions . In this paper, some sufficient and necessary conditions of the independence and statistical indepenndence of multiple-valued logical functions from their variables are given. Some conditions of algebraic independence of multi-valued logical functions from some of their variables and the way to degenerate a function to the greatest extent are proposed, and some applications of these results are indicated. All the results are studied by using Chrestenson spectral techniques.