Studia Logica 48 (2):235-241 (1989)

We provide a semantics for relevant logics with addition of Aristotle's Thesis, ∼(A→∼A) and also Boethius,(A→B)→∼(A→∼B). We adopt the Routley-Meyer affixing style of semantics but include in the model structures a regulatory structure for all interpretations of formulae, with a view to obtaining a lessad hoc semantics than those previously given for such logics. Soundness and completeness are proved, and in the completeness proof, a new corollary to the Priming Lemma is introduced (c.f.Relevant Logics and their Rivals I, Ridgeview, 1982).
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DOI 10.1007/BF02770514
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Connexive Logic.Heinrich Wansing - 2008 - Stanford Encyclopedia of Philosophy.
Admissibility of Ackermann's Rule Δ in Relevant Logics.Gemma Robles - 2013 - Logic and Logical Philosophy 22 (4):411-427.
Aristotle's Thesis Between Paraconsistency and Modalization.Claudio Pizzi - 2005 - Journal of Applied Logic 3 (1):119-131.

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