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The Class of All Natural Implicative Expansions of Kleene’s Strong Logic Functionally Equivalent to Łkasiewicz’s 3-Valued Logic Ł3
Journal of Logic, Language and Information 29 (3):349-374 (2020)
Abstract
We consider the logics determined by the set of all natural implicative expansions of Kleene’s strong 3-valued matrix and select the class of all logics functionally equivalent to Łukasiewicz’s 3-valued logic Ł3. The concept of a “natural implicative matrix” is based upon the notion of a “natural conditional” defined in Tomova.Author Profiles
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Citations of this work
What is a Relevant Connective?Shawn Standefer - 2022 - Journal of Philosophical Logic 51 (4):919-950.
A remark on functional completeness of binary expansions of Kleene’s strong 3-valued logic.Gemma Robles & José M. Méndez - 2022 - Logic Journal of the IGPL 30 (1):21-33.
A Class of Implicative Expansions of Belnap-Dunn Logic in which Boolean Negation is Definable.Gemma Robles & José M. Méndez - 2023 - Journal of Philosophical Logic 52 (3):915-938.
The lattice of all 4-valued implicative expansions of Belnap–Dunn logic containing Routley and Meyer’s basic logic Bd.Gemma Robles & José M. Méndez - forthcoming - Logic Journal of the IGPL.
A Class of Implicative Expansions of Kleene’s Strong Logic, a Subclass of Which Is Shown Functionally Complete Via the Precompleteness of Łukasiewicz’s 3-Valued Logic Ł3.Gemma Robles & José M. Méndez - 2021 - Journal of Logic, Language and Information 30 (3):533-556.
References found in this work
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Relevant Logics and Their Rivals.Richard Routley, Val Plumwood, Robert K. Meyer & Ross T. Brady - 1982 - Ridgeview. Edited by Richard Sylvan & Ross Brady.
A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
Theory of Logical Calculi: Basic Theory of Consequence Operations.Ryszard Wójcicki - 1988 - Dordrecht, Boston and London: Kluwer Academic Publishers.
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