Conditional algebras
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866909515650170880 |
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| author | Celani, Sergio Gruszczyński, Rafał Menchón, Paula |
| author_facet | Celani, Sergio Gruszczyński, Rafał Menchón, Paula |
| contents | Drawing on the classic paper by Chellas "Basic conditional logic" (1975), we propose a general algebraic framework for studying a binary operation of conditional that models universal features of the "if..., then..." connective as strictly related to the unary modal necessity operator. To this end, we introduce a variety of conditional algebras, and we develop its duality and canonical extensions theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13480 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conditional algebras Celani, Sergio Gruszczyński, Rafał Menchón, Paula Logic 6E25, 03G05 Drawing on the classic paper by Chellas "Basic conditional logic" (1975), we propose a general algebraic framework for studying a binary operation of conditional that models universal features of the "if..., then..." connective as strictly related to the unary modal necessity operator. To this end, we introduce a variety of conditional algebras, and we develop its duality and canonical extensions theory. |
| title | Conditional algebras |
| topic | Logic 6E25, 03G05 |
| url | https://arxiv.org/abs/2404.13480 |