## Journal of Symbolic Logic

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

#### 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.

#### Article information

Source
J. Symbolic Logic, Volume 68, Issue 2 (2003), 503- 526.

Dates
First available in Project Euclid: 11 May 2003

Permanent link to this document
https://projecteuclid.org/euclid.jsl/1052669061

Digital Object Identifier
doi:10.2178/jsl/1052669061

Mathematical Reviews number (MathSciNet)
MR1976588

Zentralblatt MATH identifier
1056.03020

#### Citation

van den Dries, L.; Wilkie, A. J. The laws of integer divisibility, and solution sets of linear divisibility conditions. J. Symbolic Logic 68 (2003), no. 2, 503-- 526. doi:10.2178/jsl/1052669061. https://projecteuclid.org/euclid.jsl/1052669061

#### References

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