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arXiv · 2512.01600

Interpolation in Non-Classical Logics

Wesley Fussner
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Abstract

This chapter surveys some of the main results on interpolation in several of the most prominent families of non-classical logics. Special attention is given to the distinction between the two most commonly studied variants of interpolation--namely, Craig interpolation and deductive interpolation. Our discussion focuses primarily on how these properties present in families of logical systems taken as a whole, particularly those comprising all axiomatic extensions of any of several notable non-classical logics. We consider a range of important examples: superintuitionistic and modal logics, fuzzy logics, paraconsistent logics, relevant logics, and substructural logics.

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Wesley Fussner. 2025-12-01. Interpolation in Non-Classical Logics. https://arxiv.org/abs/2512.01600

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