Abstract model theory
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
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
- ↑ Handbook of mathematical logic by Jon Barwise 1989 ISBN 0-444-86388-5 page 45
- ↑ Jean-Yves Béziau Logica universalis: towards a general theory of logic 2005 ISBN 978-3-7643-7259-0 pages 20–25
- ↑ J. Barwise, 1974 Axioms for abstract model theory, Annals of Math. Logic 7:221–265
This article is issued from Wikipedia - version of the 9/1/2016. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.