2024
DOI: 10.1007/978-3-031-63501-4_3
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Mechanised Uniform Interpolation for Modal Logics K, GL, and iSL

Hugo Férée,
Iris van der Giessen,
Sam van Gool
et al.

Abstract: The uniform interpolation property in a given logic can be understood as the definability of propositional quantifiers. We mechanise the computation of these quantifiers and prove correctness in the Coq proof assistant for three modal logics, namely: (1) the modal logic K, for which a pen-and-paper proof exists; (2) Gödel-Löb logic GL, for which our formalisation clarifies an important point in an existing, but incomplete, sequent-style proof; and (3) intuitionistic strong Löb logic iSL, for which this is the … Show more

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