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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Published in: | Bulletin of the Section of Logic Vol. 45; no. 2; pp. 93 - 109 |
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Main Authors: | , , , , |
Format: | Journal Article |
Language: | English |
Published: |
Warsaw
University of Łódź
2016
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Subjects: | |
Online Access: | Get full text |
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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. |
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ISSN: | 0138-0680 2449-836X |
DOI: | 10.18778/0138-0680.45.2.03 |