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
Notes
- ^ Institution-independent model theory by Răzvan Diaconescu 2008 ISBN 3764387076 page 3
- ^ Handbook of mathematical logic by Jon Barwise 1989 ISBN 0444863885 page 45
- ^ Jean-Yves Béziau Logica universalis: towards a general theory of logic 2005 ISBN 9783764372590 pages 20–25
- ^ J. Barwise, 1974 Axioms for abstract model theory, Annals of Math. Logic 7:221–265
Further reading
- Jon Barwise; Solomon Feferman (1985). Model-theoretic logics. Springer-Verlag. ISBN 9780387909363.
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