Abstract model theory

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In mathematical logic, abstract model theory is a generalization of model theory which 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[edit]


  1. ^ Institution-independent model theory by Răzvan Diaconescu 2008 ISBN 3-7643-8707-6 page 3
  2. ^ Handbook of mathematical logic by Jon Barwise 1989 ISBN 0-444-86388-5 page 45
  3. ^ Jean-Yves Béziau Logica universalis: towards a general theory of logic 2005 ISBN 978-3-7643-7259-0 pages 20–25
  4. ^ J. Barwise, 1974 Axioms for abstract model theory, Annals of Math. Logic 7:221–265

Further reading[edit]