Abstract
We consider subintuitionistic logics as an extension of positive propositional logic with a binary modality, interpreted over ordered and unordered monotone neighborhood frames, with a range of frame conditions. This change in perspective allows us to apply tools and techniques from the modal setting to subintuitionistic logics. We provide a Priestley-style duality, and transfer results from the (classical) logic of monotone neighborhood frames to obtain completeness, conservativity, and a finite model property for the basic logic, extended with a number of axioms.
Citation
Jim de Groot. Dirk Pattinson. "Monotone Subintuitionistic Logic: Duality and Transfer Results." Notre Dame J. Formal Logic 63 (2) 213 - 242, May 2022. https://doi.org/10.1215/00294527-2022-0014
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