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arXiv · 2009.14449

Non-normal logics: semantic analysis and proof theory (extended version)

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 proper display calculi, starting from a semantic analysis which motivates syntactic translations from single-type non-normal modal logics to multi-type normal poly-modal logics.

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Jinsheng Chen, Giuseppe Greco, Alessandra Palmigiano, Apostolos Tzimoulis. 2020-09-29. Non-normal logics: semantic analysis and proof theory (extended version). https://arxiv.org/abs/2009.14449

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