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  1. Admissible rules for six intuitionistic modal logics.Iris van der Giessen - 2023 - Annals of Pure and Applied Logic 174 (4):103233.
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  • Modular Many-Valued Semantics for Combined Logics.Carlos Caleiro & Sérgio Marcelino - 2024 - Journal of Symbolic Logic 89 (2):583-636.
    We obtain, for the first time, a modular many-valued semantics for combined logics, which is built directly from many-valued semantics for the logics being combined, by means of suitable universal operations over partial non-deterministic logical matrices. Our constructions preserve finite-valuedness in the context of multiple-conclusion logics, whereas, unsurprisingly, it may be lost in the context of single-conclusion logics. Besides illustrating our constructions over a wide range of examples, we also develop concrete applications of our semantic characterizations, namely regarding the semantics (...)
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