Intuitionistic modal logics: tips and clips

Abstract In this note, by integrating ideas concerning terminating tableaux-based procedures in modal logics and finite frame property of intuitionistic modal logic $\textbf{IK}$, we provide new and simpler decidability proofs for intuitionistic modal logics $\textbf{FIK}$ and $\textbf{LIK}$.

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Publication Details

Journal
Logic Journal of IGPL
Published
2025-11-20
DOI
https://doi.org/10.1093/jigpal/jzaf089
Primary Topic
Logic, Reasoning, and Knowledge
Type
article
Field-Weighted Citation Impact
0.00

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article

Intuitionistic modal logics: tips and clips

Philippe Balbiani, Çiğdem Gencer
Logic Journal of IGPL
Logic, Reasoning, and Knowledge
article

Intuitionistic modal logics: tips and clips

Philippe Balbiani, Çiğdem Gencer
article en

Abstract

Abstract In this note, by integrating ideas concerning terminating tableaux-based procedures in modal logics and finite frame property of intuitionistic modal logic $\textbf{IK}$, we provide new and simpler decidability proofs for intuitionistic modal logics $\textbf{FIK}$ and $\textbf{LIK}$.

Logic Journal of IGPLVol. 34(1)
Centre National de la Recherche Scientifique (FR), Université Toulouse III - Paul Sabatier (FR), Institut National Polytechnique de Toulouse (FR), Université Toulouse-I-Capitole (FR), Toulouse Mathematics Institute (FR), Institut de Recherche en Informatique de Toulouse (FR), Université Toulouse - Jean Jaurès (FR), Institut Polytechnique de Bordeaux (FR)
Aix-Marseille Université, Bulgarian Academy of Sciences, Xiamen University
Openalex Percentile: Top 79%
Logic, Reasoning, and Knowledge
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