基于布尔e导数的特殊逻辑函数检测方法

布尔代数中的特殊逻辑函数具有独特的性质，而布尔e导数是一种新的特殊运算.为探索简化数字电路实现的方法，在介绍线性函数、自双反函数以及布尔e导数概念的基础上，提出了利用布尔e导数判别线性函数和自双反函数的定理，给出了基于布尔e导数检测线性函数、自双反函数的方法，并通过3个实例，展示了应用该方法检测线性函数和自双反函数的过程.进一步拓宽了布尔e导数的应用领域.

Method of detecting special logic function based on Boolean e derivative

Special logic functions have their unique characteristics in Boolean algebra, and Boolean e-derivative is a novel special operation. To explore the method to simplify digital circuit realization, the definitions of linear function, self-dual function, Boolean e~derivative and their properties are introduced, and presenting two theorems. Based on Boolean e-derivative and these theorems, we give out a new method of detecting the linear function and self-dual function. Three examples are given to show the detecting processes by using the presented method. This article broadens the applications of Boolean e-derivative.