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arXiv · 1609.07398

Logics for Propositional Determinacy and Independence

Valentin Goranko·Antti Kuusisto
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Abstract

This paper investigates formal logics for reasoning about determinacy and independence. Propositional Dependence Logic D and Propositional Independence Logic I are recently developed logical systems, based on team semantics, that provide a framework for such reasoning tasks. We introduce two new logics L_D and L_I, based on Kripke semantics, and propose them as alternatives for D and I, respectively. We analyze the relative expressive powers of these four logics and discuss the way these systems relate to natural language. We argue that L_D and L_I naturally resolve a range of interpretational problems that arise in D and I. We also obtain sound and complete axiomatizations for L_D and L_I.

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Valentin Goranko, Antti Kuusisto. 2016-09-23. Logics for Propositional Determinacy and Independence. https://arxiv.org/abs/1609.07398

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