Continuous first order logic and local stability

Details Continuous first order logic and local stability Continuous first order logic and local stability

2008-01-28

arxiv.org/abs/0801.4303v1

Mathematics

Logic

Scientific paper

We develop continuous first order logic, a variant of the logic described in \cite{Chang-Keisler:ContinuousModelTheory}. We show that this logic has the same power of expression as the framework of open Hausdorff cats, and as such extends Henson's logic for Banach space structures. We conclude with the development of local stability, for which this logic is particularly well-suited.

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