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arXiv · 1903.04868

Non normal logics: semantic analysis and proof theory

Jinsheng Chen·Giuseppe Greco·Alessandra Palmigiano·Apostolos Tzimoulis
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Abstract

We introduce proper display calculi for basic monotonic modal logic,the conditional logic CK and a number of their axiomatic extensions. These calculi are sound, complete, conservative and enjoy cut elimination and subformula property. Our proposal applies the multi-type methodology in the design of display calculi, starting from a semantic analysis based on the translation from monotonic modal logic to normal bi-modal logic.

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Jinsheng Chen, Giuseppe Greco, Alessandra Palmigiano, Apostolos Tzimoulis. 2019-03-12. Non normal logics: semantic analysis and proof theory. https://doi.org/10.1007/978-3-662-59533-6_7

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