A Basic Łukasiewicz m-valued conditional logic
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911969639923712 |
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| author | Huo, Shuquan |
| author_facet | Huo, Shuquan |
| contents | This paper is devoted to the construction of conditional logic system of Łukasiewicz m-valued propositional logic. We construct conditional logic system ŁCR based on Łukasiewicz m-valued propositional logic. We construct world semantics for the system by generalizing conditional and accessibility relation from classical bivalent to m-valued, and prove its soundness, completeness and finite model property. Conditionals of ŁCR cannot be generalized directly to variable strict conditionals, but they are stricter than classical conditionals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19221 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Basic Łukasiewicz m-valued conditional logic Huo, Shuquan Logic 03B50, 03B45 This paper is devoted to the construction of conditional logic system of Łukasiewicz m-valued propositional logic. We construct conditional logic system ŁCR based on Łukasiewicz m-valued propositional logic. We construct world semantics for the system by generalizing conditional and accessibility relation from classical bivalent to m-valued, and prove its soundness, completeness and finite model property. Conditionals of ŁCR cannot be generalized directly to variable strict conditionals, but they are stricter than classical conditionals. |
| title | A Basic Łukasiewicz m-valued conditional logic |
| topic | Logic 03B50, 03B45 |
| url | https://arxiv.org/abs/2407.19221 |