Four-valued modal logic: Kripke semantics and duality
نویسندگان
چکیده
منابع مشابه
Four-valued modal logic: Kripke semantics and duality
We introduce a family of modal expansions of Belnap-Dunn four-valued logic and related systems, and interpret them in many-valued Kripke structures. Using algebraic logic techniques and topological duality for modal algebras, and generalizing the so-called twist-structure representation, we axiomatize by means of Hilbert-style calculi the least modal logic over the four-element Belnap lattice a...
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à Lukasiewicz’s four-valued modal logic is surveyed and analyzed, together with à Lukasiewicz’s motivations to develop it. A faithful interpretation of it into classical (non-modal) two-valued logic is presented, and some consequences are drawn concerning its classification and its algebraic behaviour. Some counter-intuitive aspects of this logic are discussed under the light of the presented r...
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ژورنال
عنوان ژورنال: Journal of Logic and Computation
سال: 2015
ISSN: 0955-792X,1465-363X
DOI: 10.1093/logcom/exv038