Abstract model theory
From Wikipedia, the free encyclopedia
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
References
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- ^ Institution-independent model theory by Răzvan Diaconescu 2008 Template:ISBN page 3
- ^ Handbook of mathematical logic by Jon Barwise 1989 Template:ISBN page 45
- ^ Jean-Yves Béziau Logica universalis: towards a general theory of logic 2005 Template:ISBN pages 20–25
- ^ J. Barwise, 1974 "Axioms for abstract model theory", Annals of Mathematical Logic 7:221–265
Further reading
- Page Module:Citation/CS1/styles.css has no content.Jon Barwise; Solomon Feferman (1985). Model-theoretic logics. Springer-Verlag. ISBN 978-0-387-90936-3.
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