Логика ложности как обобщение трехзначной логики Лукасевича.
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Abstract
Logic of falsehood is presented as four-valued generalization of both Lukasiewich-Tarski’s extended propositional logic and Lukasiewich’s three-valued logic, which does not coinside with Lukasiewich's original generalization. The non-modal interpretation of unary operators for Lukasiewich’s three-valued logic is suggested.
Logic of falsehood FL4 corresponds to Belnap ’s four-valued logic in various formal and non-formal aspects, likewise its three-valued sublogics correspond to Kleene’s and Lukasiewich's logic, respectively. Here an interrelations between implications for Kleene’s, Lukasiewich’s, Belnap's logics, logic Efde and logic of falsehood are considered.
Logic of falsehood FL4 corresponds to Belnap ’s four-valued logic in various formal and non-formal aspects, likewise its three-valued sublogics correspond to Kleene’s and Lukasiewich's logic, respectively. Here an interrelations between implications for Kleene’s, Lukasiewich’s, Belnap's logics, logic Efde and logic of falsehood are considered.
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How to Cite
Pavlov S. Логика ложности как обобщение трехзначной логики Лукасевича. // Logicheskie Issledovaniya / Logical Investigations. 1998. VOL. 5. C. 206-220.
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Papers