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Fuzzy R Systems and Algebraic Routley-Meyer Semantics
Korean Journal of Logic 25 (3):313-332 (2022)
Abstract
Here algebraic Routley-Meyer semantics is addressed for two fuzzy versions of the logic of relevant implication R. To this end, two versions R t and R T of R and their fuzzy extensions FRt and FRT , respectively, are first discussed together with their algebraic semantics. Next algebraic Routley-Meyer semantics for these two fuzzy extensions is introduced. Finally, it is verified that these logics are sound and complete over the semantics.Author's Profile
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References found in this work
Entailment: The Logic of Relevance and Necessity.[author unknown] - 1975 - Studia Logica 54 (2):261-266.
The Semantics of Entailment.Richard Routley & Robert K. Meyer - 1973 - In Hugues Leblanc, Truth, Syntax, and Modality: Proceedings Of The Temple University Conference On Alternative Semantlcs. Amsterdam and London: North-Holland Publishing Company. pp. 199-243.
Completeness of relevant quantification theories.Robert K. Meyer, J. Michael Dunn & Hugues Leblanc - 1974 - Notre Dame Journal of Formal Logic 15 (1):97-121.
A Kripke-style semantics for R-Mingle using a binary accessibility relation.J. Michael Dunn - 1976 - Studia Logica 35 (2):163 - 172.
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