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DEPENDENCE LOGIC IN PREGEOMETRIES AND ω-STABLE THEORIES

Published online by Cambridge University Press:  09 March 2016

GIANLUCA PAOLINI  and
JOUKO VÄÄNÄNEN
GIANLUCA PAOLINI
Affiliation:
DEPARTMENT OF MATHEMATICS AND STATISTICS UNIVERSITY OF HELSINKI FINLANDE-mail: [email protected]: http://www.mv.helsinki.fi/home/gianpaol/homepage.html
JOUKO VÄÄNÄNEN
Affiliation:
DEPARTMENT OF MATHETMATICS AND STATISTICS UNIVERSITY OF HELSINKIFINLAND INSTITUTE FOR LOGIC, LANGUAGE AND COMPUTATION UNIVERSITY OF AMSTERDAM THE NETHERLANDSE-mail:[email protected]: http://www.math.helsinki.fi/logic/people/jouko.vaananen/
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Abstract

We present a framework for studying the concept of independence in a general context covering database theory, algebra and model theory as special cases. We show that well-known axioms and rules of independence for making inferences concerning basic atomic independence statements are complete with respect to a variety of semantics. Our results show that the uses of independence concepts in as different areas as database theory, algebra, and model theory, can be completely characterized by the same axioms. We also consider concepts related to independence, such as dependence.

Keywords

independencedependencestability theorymatroid
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 1 , March 2016 , pp. 32 - 55
Copyright
Copyright © The Association for Symbolic Logic 2016 

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