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Pseudo-finite homogeneity and saturation

Published online by Cambridge University Press:  12 March 2014

Jörg Flum  and
Martin Ziegler
Jörg Flum
Affiliation:
Institut Für Mathematische Logik, Universität Freiburg, Eckestr. 1, 79104 Freiburg, Germany, E-mail: flum@uni-freiburg.de
Martin Ziegler
Affiliation:
Institut Für Mathematische Logik, Universität Freiburg, Eckestr. 1, 79104 Freiburg, Germany, E-mail: ziegler@uni-freiburg.de
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Abstract

When analyzing database query languages a roperty, of theories, the pseudo-finite homogeneity property, has been introduced and applied (cf. [3]). We show that a stable theory has the pseudo-finite homogeneity property just in case its expressive power for finite states is bounded. Moreover, we introduce the corresponding pseudo-finite saturation property and show that a theory fails to have the finite cover property if and only if it has the pseudo-finite saturation property.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 64 , Issue 4 , December 1999 , pp. 1689 - 1699
Copyright
Copyright © Association for Symbolic Logic 1999

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References

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