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Preprint Number 1439

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1439. Nathanaël Mariaule
Expansion of Presburger arithmetic with the exchange property
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Submission date: 1 June 2018

Abstract:

Let G be a model of Presburger arithmetic. Let L be an expansion of the language of Presburger L_{Pres}. In this paper we prove that the L-theory of G is L_{Pres}-minimal iff it has the exchange property and any bounded definable set has a maximum.

Mathematics Subject Classification: 03C64

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Full text arXiv 1806.00315: pdf, ps.


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