The Beth property in algebraic logic

Studia Logica 83 (1-3):49 - 90 (2006)
The present paper is a study in abstract algebraic logic. We investigate the correspondence between the metalogical Beth property and the algebraic property of surjectivity of epimorphisms. It will be shown that this correspondence holds for the large class of equivalential logics. We apply our characterization theorem to relevance logics and many-valued logics.
Keywords Philosophy   Logic   Mathematical Logic and Foundations   Computational Linguistics
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DOI 10.2307/20016799
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James G. Raftery (2013). Order algebraizable logics. Annals of Pure and Applied Logic 164 (3):251-283.

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