Non-normal modal logics and conditional logics: Semantic analysis and proof theory

نویسندگان

چکیده

We introduce proper display calculi for basic monotonic modal logic, the conditional logic CK and a number of their axiomatic extensions. These are sound, complete, conservative, enjoy cut elimination subformula property. Our proposal applies multi-type methodology in design calculi, starting from semantic analysis which motivates syntactic translations single-type non-normal logics to normal poly-modal logics.

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ژورنال

عنوان ژورنال: Information & Computation

سال: 2022

ISSN: ['0890-5401', '1090-2651']

DOI: https://doi.org/10.1016/j.ic.2021.104756