Interpolation and definability in abstract logics

Synthese 27 (1-2):251 - 257 (1974)
A semantical definition of abstract logics is given. It is shown that the Craig interpolation property implies the Beth definability property, and that the Souslin-Kleene interpolation property implies the weak Beth definability property. An example is given, showing that Beth does not imply Souslin-Kleene.
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DOI 10.1007/BF00660898
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Δ-Logics and Generalized Quantifiers.J. A. Makowsky, Saharon Shelah & Jonathan Stavi - 1976 - Annals of Mathematical Logic 10 (2):155-192.

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