Abstract model theory

From HandWiki

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


  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 Mathematical Logic 7:221–265

Further reading

  • Jon Barwise; Solomon Feferman (1985). Model-theoretic logics. Springer-Verlag. ISBN 978-0-387-90936-3.