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arXiv · 1304.2931

Logics to which the class of neat reducts is sensitive to

Tarek Sayed Ahmed
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Abstract

Let L be a quantifier predicate logic. Let K be a class of algebras. We say that K is sensitive to L, if there is an algebra in K, that is L interpretable into an another algebra, and this latter algebra is elementary equivalent to an algebra not in K. (In particular, if L is L_{ω,ω}, this means that K is not elementary). We show that the class of neat reducts of every dimension is sensitive to quantifier free predicate logics with infinitary conjunctions; for finite dimensions, we do not need infinite conjunctions.

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Tarek Sayed Ahmed. 2013-04-09. Logics to which the class of neat reducts is sensitive to. https://arxiv.org/abs/1304.2931

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