A 2-set-up Routley-Meyer Semantics for the 4-valued Relevant Logic E4

The logic BN4 can be considered as the 4-valued logic of the relevant conditional and the logic E4, as the 4-valued logic of (relevant) entailment. The aim of this paper is to endow E4 with a 2-set-up Routley-Meyer semantics. It is proved that E4 is strongly sound and complete w.r.t. this semantics.

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Bibliographic Details
Published in:Bulletin of the Section of Logic Vol. 45; no. 2; pp. 93 - 109
Main Authors: Robles, Gemma, López, Sandra M., Blanco, José M., Recio, Marcos M., Paradela, Jesús R.
Format: Journal Article
Language:English
Published: Warsaw University of Łódź 2016
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Summary:The logic BN4 can be considered as the 4-valued logic of the relevant conditional and the logic E4, as the 4-valued logic of (relevant) entailment. The aim of this paper is to endow E4 with a 2-set-up Routley-Meyer semantics. It is proved that E4 is strongly sound and complete w.r.t. this semantics.
ISSN:0138-0680
2449-836X
DOI:10.18778/0138-0680.45.2.03