June 2003 The laws of integer divisibility, and solution sets of linear divisibility conditions
A. J. Wilkie, L. van den Dries
J. Symbolic Logic 68(2): 503-526 (June 2003). DOI: 10.2178/jsl/1052669061

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.

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A. J. Wilkie. L. van den Dries. "The laws of integer divisibility, and solution sets of linear divisibility conditions." J. Symbolic Logic 68 (2) 503 - 526, June 2003. https://doi.org/10.2178/jsl/1052669061

Information

Published: June 2003
First available in Project Euclid: 11 May 2003

zbMATH: 1056.03020
MathSciNet: MR1976588
Digital Object Identifier: 10.2178/jsl/1052669061

Rights: Copyright © 2003 Association for Symbolic Logic

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Vol.68 • No. 2 • June 2003
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