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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.21882 |
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| _version_ | 1866914114021883904 |
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| author | Pérez, Miguel Muñoz |
| author_facet | Pérez, Miguel Muñoz |
| contents | We detail some ways in which the study of three-valued logics of indicative conditionals can be extended by further adding a new truth-value. Our approach heavily relies on twist constructions, which have been already used in the literature in order to provide algebraic semantics in the three-valued case. Here we follow the inverse path: we first specify how these twist constructions, expanded with the new truth-value, induce new logics and then we prove the corresponding twist representation results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_21882 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Four-valued logics of indicative conditionals Pérez, Miguel Muñoz Logic We detail some ways in which the study of three-valued logics of indicative conditionals can be extended by further adding a new truth-value. Our approach heavily relies on twist constructions, which have been already used in the literature in order to provide algebraic semantics in the three-valued case. Here we follow the inverse path: we first specify how these twist constructions, expanded with the new truth-value, induce new logics and then we prove the corresponding twist representation results. |
| title | Four-valued logics of indicative conditionals |
| topic | Logic |
| url | https://arxiv.org/abs/2510.21882 |