Possible and impossible conditionals for team logics

Fausto Barbero; Fan Yang

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arXiv · 2603.02136

Possible and impossible conditionals for team logics

Fausto Barbero·Fan Yang

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Abstract

We study whether a logic based on team semantics can be enriched with a conditional satisfying minimal requirements, such as 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.

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Fausto Barbero, Fan Yang. 2026-03-02. Possible and impossible conditionals for team logics. https://arxiv.org/abs/2603.02136

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