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The laws of integer divisibility, and solution sets of linear divisibility conditions

Published online by Cambridge University Press:  12 March 2014

L. van den Dries  and
A. J. Wilkie
L. van den Dries
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA, E-mail: vddries@math.uiuc.edu
A. J. Wilkie
Affiliation:
Mathematical Institute, University of Oxford, 24–29 St. Giles, Oxford OX1 3LB, UK, E-mail: wilkie@maths.ox.ac.uk
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Abstract

We prove linear and polynomial growth properties of sets and functions that are existentially definable in the ordered group of integers with divisibility. We determine the laws of addition with order and divisibility.

Information

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 68 , Issue 2 , June 2003 , pp. 503 - 526
Copyright
Copyright © Association for Symbolic Logic 2003

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References

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