模态逻辑中的对称性

Pub Date : 2013-03-28 DOI:10.4204/EPTCS.113.6

C. Areces, Guillaume Hoffmann, Ezequiel Orbe

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引用次数: 3

摘要

将合取范式的命题公式的对称性推广到模态公式。我们的框架使用共归纳模型，因此，结果适用于模态逻辑的广泛类别，包括，例如，混合逻辑。我们的主要结果表明，模态公式的对称性保留了蕴涵。

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Symmetries in Modal Logics

We generalize the notion of symmetries of propositional formulas in conjunctive normal form to modal formulas. Our framework uses the coinductive models and, hence, the results apply to a wide class of modal logics including, for example, hybrid logics. Our main result shows that the symmetries of a modal formula preserve entailment.

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