Belnap-Dunn Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer’s Logic B

Sandra M. López

doi:10.12775/LLP.2021.004

Authors

Sandra M. López Department of Philosophy, Logic and Esthetics; University of Salamanca https://orcid.org/0000-0003-2584-5950

DOI:

https://doi.org/10.12775/LLP.2021.004

Keywords

4-valued logics, many-valued logics, Belnap-Dunn semantics, Routley and Meyer’s logic B, relevant logics

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 Biography

Sandra M. López, Department of Philosophy, Logic and Esthetics; University of Salamanca

PhD candidate with doctoral fellowship and assistant professor

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