Weak definability in infinitary languages

Journal of Symbolic Logic 38 (3):399-404 (1973)
We shall prove that if a model of cardinality κ can be expanded to a model of a sentence ψ of Lλ+,ω by adding a suitable predicate in more than κ ways, then, it has a submodel of power μ which can be expanded to a model of ψ in $> \mu$ ways provided that λ,κ,μ satisfy suitable conditions
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DOI 10.2307/2273033
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References found in this work BETA
Local Definability Theory.Gonzalo E. Reyes - 1970 - Annals of Mathematical Logic 1 (1):95-137.
Generalized Interpolation and Definability.David W. Kueker - 1970 - Annals of Mathematical Logic 1 (4):423-468.
Remark to “Local Definability Theory” of Reyes.S. Shelah - 1971 - Annals of Mathematical Logic 2 (4):441-447.

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