Nested Sequents for Quasi-transitive Modal Logics

Sonia Marin; Paaras Padhiar

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arXiv · 2406.09300

Nested Sequents for Quasi-transitive Modal Logics

Sonia Marin·Paaras Padhiar

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Abstract

Previous works by Gor\'e, Postniece and Tiu have provided sound and cut-free complete proof systems for modal logics extended with path axioms using the formalism of nested sequent. Our aim is to provide (i) a constructive cut-elimination procedure and (ii) alternative modular formulations for these systems. We present our methodology to achieve these two goals on a subclass of path axioms, namely quasi-transitivity axioms.

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Sonia Marin, Paaras Padhiar. 2024-06-13. Nested Sequents for Quasi-transitive Modal Logics. https://arxiv.org/abs/2406.09300

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