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An Institution-independent Proof of the Beth Definability Theorem
Authors:M. Aiguier  F. Barbier
Affiliation:(1) IBISC FRE CNRS 2873, Université d’évry-Val d’éssonne, 523 pl. des Terrasses, F-91000 évry, France;(2) IBISC FRE CNRS 2873, Université d’évry-Val d’éssonne, 523 pl. des Terrasses, F-91000 évry, France
Abstract:A few results generalizing well-known classical model theory ones have been obtained in institution theory these last two decades (e.g. Craig interpolation, ultraproduct, elementary diagrams). In this paper, we propose a generalized institution-independent version of the Beth definability theorem. Presented by Robert Goldblatt
Keywords:Beth definability  Craig interpolation  institution theory  morphisms and comorphisms  inclusive category
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