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A deductive-reductive form of logic: General theory and intuitionistic case
Logic and Logical Philosophy 10:59 (2002)
Abstract
The paper deals with reconstruction of the unique reductivecounterpart of the deductive logic. The procedure results in the deductivereductive form of logic. This extension is illustrated on the base of intuitionistic logics: Heyting’s, Brouwerian and Heyting-Brouwer’s onesAuthor's Profile
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Citations of this work
Dual Intuitionistic Logic and a Variety of Negations: The Logic of Scientific Research.Yaroslav Shramko - 2005 - Studia Logica 80 (2-3):347-367.
Refutation-Aware Gentzen-Style Calculi for Propositional Until-Free Linear-Time Temporal Logic.Norihiro Kamide - 2023 - Studia Logica 111 (6):979-1014.
Falsification-Aware Calculi and Semantics for Normal Modal Logics Including S4 and S5.Norihiro Kamide - 2023 - Journal of Logic, Language and Information 32 (3):395-440.
Falsification-Aware Semantics and Sequent Calculi for Classical Logic.Norihiro Kamide - 2021 - Journal of Philosophical Logic 51 (1):99-126.
Symmetric and conflated intuitionistic logics.Norihiro Kamide - forthcoming - Logic Journal of the IGPL.
References found in this work
Theory of Logical Calculi: Basic Theory of Consequence Operations.Ryszard Wójcicki - 1988 - Dordrecht, Boston and London: Kluwer Academic Publishers.
An algebraic and Kripke-style approach to a certain extension of intuitionistic logic.Cecylia Rauszer - 1980 - Warszawa: [available from Ars Polona].
Theory of Logical Calculi, Basic Theory of Consequence Operations.Ryszard Wójcicki - 1991 - Studia Logica 50 (3):623-629.
Dual counterparts of consequence operations.Ryszard Wójcicki - 1973 - Bulletin of the Section of Logic 2 (1):54-57.
Semi-Boolean algebras and their applications to intuitionistic logic with dual operations.Cecylia Rauszer - 1974 - Fundamenta Mathematicae 83:219-249.
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