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A language for quantifier elimination in ordered abelian groups

Immanuel Halupczok,
published 2011-04-08

The goal of thse notes is to present a language L_{qe} in which ordered abelian groups have a kind of quantifier elimination. This language is not that simple; the emphasis of these notes is on explaining it: why is it necessary and what does quantifier elimination in this language say about definable sets? We will build up L_{qe} piece by piece; a summary is given in the very last section.

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