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.
Abstract model theory provides an approach that allows us to step back and study a wide range of logics and their relationships. The starting point for the study of abstract models, which resulted in good examples was Lindström's theorem.
In 1974 Jon Barwise provided an axiomatization of abstract model theory.
See also
Further reading
- Jon Barwise; Solomon Feferman (1985). Model-theoretic logics. Springer-Verlag. ISBN 978-0-387-90936-3.
References
Institution-independent model theory by Răzvan Diaconescu 2008 ISBN 3-7643-8707-6 page 3 /wiki/ISBN_(identifier) ↩
Handbook of mathematical logic by Jon Barwise 1989 ISBN 0-444-86388-5 page 45 /wiki/ISBN_(identifier) ↩
Jean-Yves Béziau Logica universalis: towards a general theory of logic 2005 ISBN 978-3-7643-7259-0 pages 20–25 /wiki/Jean-Yves_B%C3%A9ziau ↩
J. Barwise, 1974 "Axioms for abstract model theory" , Annals of Mathematical Logic 7:221–265 https://doi.org/10.1016%2F0003-4843%2874%2990016-3 ↩