On adequate sets of multi-valued logic *
文献类型：期刊论文
| 作者 | Cheng, Daizhan1,2; Feng, Jun-E1,3; Zhao, Jianli1; Fu, Shihua3 |
| 刊名 | JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
 |
| 出版日期 | 2021-09-01 |
| 卷号 | 358期号:13页码:6705-6722 |
| ISSN号 | 0016-0032 |
| DOI | 10.1016/j.jfranklin.2021.07.003 |
| 英文摘要 | 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. |
| WOS研究方向 | Automation & Control Systems ; Engineering ; Mathematics |
| 语种 | 英语 |
| 出版者 | PERGAMON-ELSEVIER SCIENCE LTD |
| WOS记录号 | WOS:000735658400015 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59823]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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