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arXiv · 2002.04855

Labelled calculi for quantified modal logics with definite descriptions

Eugenio Orlandelli
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Abstract

We introduce labelled sequent calculi for quantified modal logics with definite descriptions. We prove that these calculi have the good structural properties of G3-style calculi. In particular, all rules are height-preserving invertible, weakening and contraction are height-preserving admissible and cut is admissible. Finally, we show that each calculus gives a proof-theoretic characterization of validity in the corresponding class of models.

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Eugenio Orlandelli. 2020-02-12. Labelled calculi for quantified modal logics with definite descriptions. https://arxiv.org/abs/2002.04855

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