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Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B
Logic and Logical Philosophy:29-56 (forthcoming)
Abstract
The logics BN4 and E4 can be considered as the 4-valued logics of the relevant conditional and (relevant) entailment, respectively. The logic BN4 was developed by Brady in 1982 and the logic E4 by Robles and Méndez in 2016. The aim of this paper is to investigate the implicative variants (of both systems) which contain Routley and Meyer’s logic B and endow them with a Belnap-Dunn type bivalent semantics.Author's Profile
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Citations of this work
Ternary Relational Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer's Logic B.Sandra M. López - 2022 - Bulletin of the Section of Logic 51 (1):27-56.
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.
References found in this work
A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
How a computer should think.Nuel Belnap - 1977 - In Gilbert Ryle (ed.), Contemporary aspects of philosophy. Boston: Oriel Press.
40 years of FDE: An Introductory Overview.Hitoshi Omori & Heinrich Wansing - 2017 - Studia Logica 105 (6):1021-1049.
Reasoning with logical bilattices.Ofer Arieli & Arnon Avron - 1996 - Journal of Logic, Language and Information 5 (1):25--63.
The value of the four values.Ofer Arieli & Arnon Avron - 1998 - Artificial Intelligence 102 (1):97-141.
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