Beth's property fails in $l^{
Journal of Symbolic Logic 45 (2) (1980)
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Finn V. Jensen (1974). Interpolation and Definability in Abstract Logics. Synthese 27 (1-2):251 - 257.
Eva Hoogland (2000). Algebraic Characterizations of Various Beth Definability Properties. Studia Logica 65 (1):91-112.
Lee Badger (1980). Beth's Property Fails in $L^{<\Omega 1}$. Journal of Symbolic Logic 45 (2):284 - 290.
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