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arXiv · 2606.31868

Labelled Sequents for Inquisitive First-Order Modal Logic

Ivano Ciardelli·Simone Conti
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Abstract

In recent work, an inquisitive first-order modal logic has been proposed to reason about relations of modal dependence, including the notion of global supervenience (functional dependence among the extensions of predicates relative to a space of possibilities). At present, no proof system exists for this logic. We provide a complete labelled sequent calculus, extending a calculus developed by Litak and Sano for a weak version of inquisitive first-order logic. We prove strong completeness for the calculus and show that it enjoys desirable structural properties, including the invertibility of its rules and the admissibility of cut.

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Ivano Ciardelli, Simone Conti. 2026-06-30. Labelled Sequents for Inquisitive First-Order Modal Logic. https://doi.org/10.4204/eptcs.447.14

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