Algebraic insight into universal logic functions and implications for logical system modeling
Xiaobo Li1
Yongyi Yan1
Jumei Yue2
Penglei Hao1
Shuaibing Zhang1
1.College of Information Engineering,Henan University of Science and Technology,Luoyang 471000,Henan,China2.College of Agricultural Equipment Engineering,Henan University of Science and Technology,Luoyang 471000,Henan,China
摘要：This paper explores the algebraic essence of universal logic functions(ULFs)from an algebraic perspective.Under the framework of semi-tensor product of matrices,the"sequential nature"of ULFs is revealed.Utilizing the nature,a technique called universal transformation method is proposed,by which any ULF can be transformed into an equivalent expression with desired features that facilitate achieving specific objectives,such as modeling,analyzing and synthesizing universal logical systems.Furthermore,several useful logical operators are constructed in a mixed-dimensional situation,including power-raising operator,power-descending operator,erasure operator,and appending operator.Finally,these results are applied to model and analyze finite state machines and their networks,which demonstrate the practical value of the method and operators.
机标关键词：modelinginsightsystemalgebraicfunctionsimplicationsintological
论文发表日期：2026-02-28
在线出版日期：2026-03-27（本平台首次上网日期，不代表文献的发表时间）
页数：13( 143-155 )
英文信息