On łukasiewicz's four-valued modal logic

Studia Logica 70 (2):157-182 (2002)
Abstract
ukasiewicz''s four-valued modal logic is surveyed and analyzed, together with ukasiewicz''s motivations to develop it. A faithful interpretation of it in 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 in the light of the presented results, ukasiewicz''s own texts, and related literature.
Keywords Łukasiewicz  four-valued logic  faithful translation  modal logic  many-valued logic  intensional logic  discrete epistemic algebras
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Lloyd Humberstone (2013). Replacement in Logic. Journal of Philosophical Logic 42 (1):49-89.
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