Positive logic with adjoint modalities: Proof theory, semantics, and reasoning about information

We consider a simple modal logic whose nonmodal part has conjunction and disjunction as connectives and whose modalities come in adjoint pairs, but are not in general closure operators. Despite absence of negation and implication, and of axioms corresponding to the characteristic axioms of (e.g.) T,...

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Bibliographic Details
Main Authors: Sadrzadeh, M, Dyckhoff, R
Format: Journal article
Language:English
Published: Elsevier 2010