Abstract model theory

In mathematical logic, abstract model theory is a generalization of model theory that studies the general properties of extensions of first-order logic and their models.

[1] Abstract model theory provides an approach that allows us to step back and study a wide range of logics and their relationships.

[2] The starting point for the study of abstract models, which resulted in good examples was Lindström's theorem.

[3] In 1974 Jon Barwise provided an axiomatization of abstract model theory.

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