A theory of hypermodal logics: Mode shifting in modal logic
Journal of Philosophical Logic 31 (3):211-243 (2002)
| Abstract | A hypermodality is a connective whose meaning depends on where in the formula it occurs. The paper motivates the notion and shows that hypermodal logics are much more expressive than traditional modal logics. In fact we show that logics with very simple K hypermodalities are not complete for any neighbourhood frames. | |||||||||
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Nobu-Yuki Suzuki (1989). An Algebraic Approach to Intuitionistic Modal Logics in Connection with Intermediate Predicate Logics. Studia Logica 48 (2):141 - 155.
Roy A. Benton (2002). A Simple Incomplete Extension of T Which is the Union of Two Complete Modal Logics with F.M.P. Journal of Philosophical Logic 31 (6):527-541.
Marcus Kracht & Frank Wolter (1999). Normal Monomodal Logics Can Simulate All Others. Journal of Symbolic Logic 64 (1):99-138.
Norihiro Kamide (2002). Kripke Semantics for Modal Substructural Logics. Journal of Logic, Language and Information 11 (4):453-470.
Marcus Kracht & Frank Wolter (1997). Simulation and Transfer Results in Modal Logic – a Survey. Studia Logica 59 (2):149-177.
V. V. Rybakov (1995). Hereditarily Structurally Complete Modal Logics. Journal of Symbolic Logic 60 (1):266-288.
Frank Wolter (1997). Superintuitionistic Companions of Classical Modal Logics. Studia Logica 58 (2):229-259.
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