Abstract
In this paper we construct an extension, \({\mathcal{L}}\), of Anderson and Belnap’s relevance logic R that is classical in the sense that it contains \({p \& \neg p \rightarrow q}\) as a theorem, and we prove that \({\mathcal{L}}\) is pretabular in the sense that while it does not have a finite characteristic matrix, every proper normal extension of it does. We end the paper by commenting on the possibility of finding other classical relevance logics that are also pretabular.
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References
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Galminas, L., Mersch, J.G. A Pretabular Classical Relevance Logic. Stud Logica 100, 1211–1221 (2012). https://doi.org/10.1007/s11225-012-9455-2
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DOI: https://doi.org/10.1007/s11225-012-9455-2