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Axiomatization of semigroup consequences

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Abstract

We show (1) the consequence determined by a variety V of algebraic semigroup matrices is finitely based iffV is finitely based, (2) the consequence determined by all 2-valued semigroup connectives, Λ, ∨, ↔, +, in other words the collection of common rules for all these connectives, is finitely based. For possible applications see Sect. 0.

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  1. II. Mathematisches Institut, Freie Universität Berlin, Arnimallee 3, D-1000, Berlin 33

    Wolfgang Rautenberg

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  1. Wolfgang Rautenberg
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Rautenberg, W. Axiomatization of semigroup consequences. Arch Math Logic 29, 111–123 (1989). https://doi.org/10.1007/BF01620620

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  • DOI: https://doi.org/10.1007/BF01620620

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