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| A minimum adequate set of multi-valued logic |
| DaizhanCheng,Jun-eFeng,JianliZhao,ShihuaFu |
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| (1 Research Center of Semi?tensor Product of Matrices: Theory and Applications, Liaocheng University, Liaocheng, China
2 Key Laboratory of Systems and Control, AMSS, Chinese Academy of Sciences, Beijing 100190, China;3 School of Mathematics, Shandong University, Jinan, China) |
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| 摘要: |
| An adequate set of k-valued logic is provided, which contains only two operators. It is also proved that this adequate set is
of minimum size. |
| 关键词: k-valued logic · Normal form · Adequate set (ADS) · Structure matrix of logical functions · Semi-tensor product of matrices |
| DOI：https://doi.org/10.1007/s11768-021-00064-w |
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| 基金项目:This work was supported partly by the National Natural Science Foundation of China (Nos.61773371, 61733018, 61877036) and the Natural Science Fund of Shandong Province (No.
ZR2019MF002). |
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| A minimum adequate set of multi-valued logic |
| Daizhan Cheng,Jun-e Feng,Jianli Zhao,Shihua Fu |
| (1 Research Center of Semi?tensor Product of Matrices: Theory and Applications, Liaocheng University, Liaocheng, China
2 Key Laboratory of Systems and Control, AMSS, Chinese Academy of Sciences, Beijing 100190, China;3 School of Mathematics, Shandong University, Jinan, China) |
| Abstract: |
| An adequate set of k-valued logic is provided, which contains only two operators. It is also proved that this adequate set is
of minimum size. |
| Key words: k-valued logic · Normal form · Adequate set (ADS) · Structure matrix of logical functions · Semi-tensor product of matrices |
