A theory of hypermodal logics: Mode shifting in modal logic [Book Review]

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
Keywords modal logic  combining logic  hypermodality  frame completeness
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Denis Bonnay & Paul Égré (2009). Inexact Knowledge with Introspection. Journal of Philosophical Logic 38 (2):179 - 227.
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