An Institution-independent Proof of the Beth Definability Theorem

Studia Logica 85 (3):333-359 (2007)
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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

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References found in this work

The semantic conception of truth and the foundations of semantics.Alfred Tarski - 1943 - Philosophy and Phenomenological Research 4 (3):341-376.
The Semantic Conception of Truth.Alfred Tarski - 2005 - In José Medina & David Wood (eds.), Truth. Malden, MA: Blackwell.
Axioms for abstract model theory.K. Jon Barwise - 1974 - Annals of Mathematical Logic 7 (2-3):221-265.
Failures of the interpolation lemma in quantified modal logic.Kit Fine - 1979 - Journal of Symbolic Logic 44 (2):201-206.

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