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Relational semantics for the 4-valued relevant logics BN4 and E4
Logic and Logical Philosophy 25 (2):173-201 (2016)
Abstract
The logic BN4 was defined by R.T. Brady in 1982. It can be considered as the 4-valued logic of the relevant conditional. E4 is a variant of BN4 that can be considered as the 4-valued logic of entailment. The aim of this paper is to define reduced general Routley-Meyer semantics for BN4 and E4. It is proved that BN4 and E4 are strongly sound and complete w.r.t. their respective semantics.Author Profiles
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Citations of this work
Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B.Sandra M. López - forthcoming - Logic and Logical Philosophy:29-56.
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.
Reduced Routley–Meyer semantics for the logics characterized by natural implicative expansions of Kleene’s strong 3-valued matrix.Gemma Robles - forthcoming - Logic Journal of the IGPL.
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 - 2024 - Logic Journal of the IGPL 32 (3):493-516.
A 2 Set-Up Binary Routley Semantics for Gödelian 3-Valued Logic G3 and Its Paraconsistent Counterpart G3\(_\text{Ł}^\leq\). [REVIEW]Gemma Robles & José M. Méndez - 2022 - Bulletin of the Section of Logic 51 (4):487-505.
References found in this work
How a computer should think.Nuel Belnap - 1977 - In Gilbert Ryle (ed.), Contemporary aspects of philosophy. Boston: Oriel Press.
Modal logics with Belnapian truth values.Serge P. Odintsov & Heinrich Wansing - 2010 - Journal of Applied Non-Classical Logics 20 (3):279-304.
A useful four-valued logic.N. D. Belnap - 1977 - In J. M. Dunn & G. Epstein (eds.), Modern Uses of Multiple-Valued Logic. D. Reidel.
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