用逻辑方程解集关系求逻辑方程组的解集

journal6 ›› 2007, Vol. 28 ›› Issue (6): 11-12.

用逻辑方程解集关系求逻辑方程组的解集

(山东科技大学公共课部，山东泰安 271019）

出版日期:2007-11-25 发布日期:2012-06-10
作者简介:丁殿坤（1956-），男，山东新泰人，山东科技大学公共课部副教授，主要从事基础数学研究.
基金资助:
山东省教育厅立项课题资助项目（J06P14）

Request of Solution Sets of Logic Equational Group By Applying the Relation of Logic Equation Solution Sets

(Public Class Department,Shandong University of Science and Technology,Taian 271019，Shandong China)

Online:2007-11-25 Published:2012-06-10

摘要/Abstract

摘要：给出了逻辑方程ｍｉ＝１（Ｆｉ＋Ｇ－ｉ）＝１，ｍｉ＝１　ＦｉＧ－ｉ＝１及逻辑方程组Ｆ１＝Ｇ１，Ｆｍ＝Ｇｍ的解集关系定理，得到了如下结论：若逻辑方程ｍｉ＝１（Ｆｉ＋Ｇ－ｉ）＝１和ｍｉ＝１　ＦｉＧ－ｉ＝１解集分别为Ｓ１和Ｓ２，则逻辑方程组Ｆ１＝Ｇ１，Ｆｍ＝Ｇｍ的解集为Ｓ１－Ｓ２．

关键词： 逻辑方程, 逻辑方程组, 解集关系

Abstract: The article gives some theories about the relations among solution sets of logic equations ｍｉ＝１（Ｆｉ＋Ｇ－ｉ）＝１，ｍｉ＝１　ＦｉＧ－ｉ＝１ and logic equational group Ｆ１＝Ｇ１，Ｆｍ＝Ｇｍ.The following conclusion is obtained:if solution set of ｍｉ＝１（Ｆｉ＋Ｇ－ｉ）＝１and ｍｉ＝１　ＦｉＧ－ｉ＝１ are Ｓ１，Ｓ２　separately,thus solution set of logic equational group Ｆ１＝Ｇ2，Ｆｍ＝Ｇｍ is Ｓ１－Ｓ２.

Key words: logic equation, logic equational group, relation of solution set

丁殿坤. 用逻辑方程解集关系求逻辑方程组的解集[J]. journal6, 2007, 28(6): 11-12.

DING Dian-Kun. Request of Solution Sets of Logic Equational Group By Applying the Relation of Logic Equation Solution Sets[J]. journal6, 2007, 28(6): 11-12.