Free five-valued Nelson Algebras
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915297744650240 |
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| author | Cornejo, Juan Manuel Gallardo, Andrés Monteiro, Luiz F. Viglizzo, Ignacio |
| author_facet | Cornejo, Juan Manuel Gallardo, Andrés Monteiro, Luiz F. Viglizzo, Ignacio |
| contents | Five-valued Nelson algebras are those satisfying the condition: $((x\to z)\to y)\to(((y \to x)\to y)\to y)=1$. We give alternative equations defining these algebras, and determine the structure and number of elements of the free five-valued Nelson algebra with a finite number of free generators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_15990 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Free five-valued Nelson Algebras Cornejo, Juan Manuel Gallardo, Andrés Monteiro, Luiz F. Viglizzo, Ignacio Logic 03G25 Five-valued Nelson algebras are those satisfying the condition: $((x\to z)\to y)\to(((y \to x)\to y)\to y)=1$. We give alternative equations defining these algebras, and determine the structure and number of elements of the free five-valued Nelson algebra with a finite number of free generators. |
| title | Free five-valued Nelson Algebras |
| topic | Logic 03G25 |
| url | https://arxiv.org/abs/2505.15990 |