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.^[4]

See also

• Lindström's theorem
• Institution (computer science)
• Institutional model theory