Possible and impossible conditionals for team logics
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912937559457792 |
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| author | Barbero, Fausto Yang, Fan |
| author_facet | Barbero, Fausto Yang, Fan |
| contents | We study whether a logic based on team semantics can be enriched with a conditional satisfying minimal requirements--namely, preservation of the closure property of the logic, Modus Ponens, and the Deduction Theorem. We show that such well-behaved conditionals exist for downward or upward closed logics, but do not typically exist for union closed, convex or intersection closed logics. We also briefly investigate conditionals satisfying weaker requirements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02136 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Possible and impossible conditionals for team logics Barbero, Fausto Yang, Fan Logic 03B60 We study whether a logic based on team semantics can be enriched with a conditional satisfying minimal requirements--namely, preservation of the closure property of the logic, Modus Ponens, and the Deduction Theorem. We show that such well-behaved conditionals exist for downward or upward closed logics, but do not typically exist for union closed, convex or intersection closed logics. We also briefly investigate conditionals satisfying weaker requirements. |
| title | Possible and impossible conditionals for team logics |
| topic | Logic 03B60 |
| url | https://arxiv.org/abs/2603.02136 |