On adequate sets of multi-valued logic *

doi:10.1016/j.jfranklin.2021.07.003

CSpace

	On adequate sets of multi-valued logic *
	Cheng, Daizhan 1,2; Feng, Jun-E 1,3; Zhao, Jianli 1; Fu, Shihua 3
	2021-09-01
发表期刊	JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
ISSN	0016-0032
卷号	358 期号:13 页码:6705-6722
摘要	Searching a condensed adequate set of k-valued logic is a challenging problem. Using algebraic expression of logical functions, a normal form for k-valued logic was presented in Cheng et al. [3]. Starting from the normal form, searching adequate set of k-valued logic is converted to searching set of generators of their isomorphic matrix group/semigroup. Two adequate sets of k-valued logic are revealed, which consist of only 4 logical operators: one binary and three unary operators. These two adequate sets are uniformly defined for all k >= 3 . (c) 2021 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
DOI	10.1016/j.jfranklin.2021.07.003
收录类别	SCI
语种	英语
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Multidisciplinary ; Engineering, Electrical & Electronic ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000735658400015
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/59824
专题	中国科学院数学与系统科学研究院
通讯作者	Feng, Jun-E
作者单位	1.Liaocheng Univ, Res Ctr Semitensor Prod Matrices Theory & Applica, Liaocheng, Shandong, Peoples R China 2.Chinese Acad Sci, Key Lab Syst & Control, AMSS, Beijing, Peoples R China 3.Shandong Univ, Sch Math, Jinan, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Daizhan,Feng, Jun-E,Zhao, Jianli,et al. On adequate sets of multi-valued logic *[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,2021,358(13):6705-6722.
APA	Cheng, Daizhan,Feng, Jun-E,Zhao, Jianli,&Fu, Shihua.(2021).On adequate sets of multi-valued logic *.JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS,358(13),6705-6722.
MLA	Cheng, Daizhan,et al."On adequate sets of multi-valued logic *".JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS 358.13(2021):6705-6722.