Ternary Relational Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer's Logic B

Autor:	Sandra M. López
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	ternary relational semantics relevant logics 4-valued logics routley and meyer's logic b 4-valued quasi-relevant logics Logic BC1-199
Zdroj:	Bulletin of the Section of Logic, Vol 51, Iss 1, Pp 27-56 (2022)
Druh dokumentu:	article
ISSN:	0138-0680 2449-836X
DOI:	10.18778/0138-0680.2021.16
Popis:	Six interesting variants of the logics BN4 and E4—which can be considered as the 4-valued logics of the relevant conditional and (relevant) entailment, respectively—were previously developed in the literature. All these systems are related to the family of relevant logics and contain Routley and Meyer's basic logic B, which is well-known to be specifically associated with the ternary relational semantics. The aim of this paper is to develop reduced general Routley-Meyer semantics for them. Strong soundness and completeness theorems are proved for each one of the logics.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d3d68ded08c9481eac920159886fd53f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF