Noncharacterizability of the syntax set

Journal of Symbolic Logic 41 (2):368-372 (1976)
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Absolute logics and L∞ω.K. Jon Barwise - 1972 - Annals of Mathematical Logic 4 (3):309-340.
Craig's interpolation theorem in some extended systems of logic.Andrzej Mostowski - 1968 - In B. van Rootselaar & Frits Staal (eds.), Logic, methodology and philosophy of science III. Amsterdam,: North-Holland Pub. Co.. pp. 87--103.
Axioms for abstract model theory.K. J. Barwise - 1974 - Annals of Mathematical Logic 7 (2-3):221-265.

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