对偶算子的第一移位律与第二移位律和布尔代数的运算规律  

THE FIRST AND SECOND DISPLACEMENT LAW OF DUALITY OPERATOR AND THE OPERATION LAWS IN BOOLEAN ALGEBRA

作　　者：史天治[1] 

机构地区：[1]淮阴师范学院物理系,江苏淮安223001

出　　处：《巢湖学院学报》2007年第6期25-29,共5页Journal of Chaohu University

摘　　要：该文提出和区分了对偶算子(也即非号)的第一移位律和第二移位律。第一移位律实际上指对偶原理,它是一个普遍的逻辑规律;第二移位律是适用于仅包含同或和异或两种运算的布尔代数表达式,这种表达式称为同或异或表达式。文中还讨论了布尔代数的运算规律和运算次序。布尔代数的运算次序应是:括号、非、同或/异或、与、或。简单列举法是证明布尔代数恒等式的简便方法。The article puts forward and sets out the First and Second Displacement Law of Duality Operator. Duality operator is identical with NOT sign. The First Displacement Law of Duality Operator is, in fact, referred to the Principle of Duality, which is a universal logic law. The Second Displacement Law of Duality Operator applies to IDENTITY ＆Exclusive-OR expressions, a kind of Boolean expressions which contains only two kinds of Boolean operations——IDENTITY and Exclusive-OR. IDENTITY is also called Exclusive-NOR. The article also discusses operation laws and priorities in Boolean algebra. The operation priority in Boolean algebra should be： brackets, NOT, XNOR or XOR, AND, OR. Simple enumeration method is a convenient method to prove identities in Boolean algebra.

关 键 词：布尔代数 对偶原理 对偶算子 移位律 运算规律 同或异或表达式 简单列举法 

分 类 号：O153.2[理学—数学]