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Title: A Reduction Procedure for the Modal Logic S4F
Author(s): SKURA, Tomasz
Journal: Logique et Analyse
Volume: 265    Date: 2024-2025   
Pages: 17-33
DOI: 10.2143/LEA.265.0.3294705

Abstract :
A cycle-free and label-free reduction procedure for the modal logic S4F is provided. Our method consists in constructing for a given Mints form a reduction, that is, a finite sequence of finite sets of sequents with the property that every nonfinal term is valid (that is, each of its elements is valid) iff so is its immediate successor, and the final term consists of some simple sequents (whose status concerning validity is easy to establish).

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