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Countermodel Construction via Optimal Hypersequent Calculi for Non-normal Modal Logics

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2020) 11972 LNCS 27-46
DOI: 10.1007/978-3-030-36755-8_3
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Abstract

We develop semantically-oriented calculi for the cube of non-normal modal logics and some deontic extensions. The calculi manipulate hypersequents and have a simple semantic interpretation. Their main feature is that they allow for direct countermodel extraction. Moreover they provide an optimal decision procedure for the respective logics. They also enjoy standard proof-theoretical properties, such as a syntactical proof of cut-admissibility.

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Dalmonte, T., Lellmann, B., Olivetti, N., & Pimentel, E. (2020). Countermodel Construction via Optimal Hypersequent Calculi for Non-normal Modal Logics. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 11972 LNCS, pp. 27–46). Springer. https://doi.org/10.1007/978-3-030-36755-8_3

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