Generalized Kripke frames
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Publication:863180
DOI10.1007/s11225-006-9008-7zbMath1115.03013OpenAlexW2028286472MaRDI QIDQ863180
Publication date: 25 January 2007
Published in: Studia Logica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11225-006-9008-7
Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics) (03B47) Nonclassical models (Boolean-valued, sheaf, etc.) (03C90)
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Cites Work
- A Sahlqvist theorem for distributive modal logic
- Unities and negation: On the representation of finite lattices
- Four-valued logic
- Categorial characterization of the MacNeille completion
- Information Flow
- Priestley duality, a Sahlqvist theorem and a Goldblatt-Thomason theorem for positive modal logic
- MacNeille completions and canonical extensions
- Canonical extensions and relational completeness of some substructural logics
- Bounded lattice expansions
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