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

Gemma Robles;  Sandra M. López;  José M. Blanco;  Marcos M. Recio;  Jesús R. Paradela — 2016

Bulletin of the Section of Logic

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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