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arXiv · 1910.08464

On Tarski's problem for virtually free groups

Simon André
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Abstract

We give a complete classification of finitely generated virtually free groups up to $\forall\exists$-elementary equivalence. As a corollary, we give an algorithm that takes as input two finite presentations of virtually free groups, and decides whether these groups have the same $\forall\exists$-theory or not.

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Simon André. 2019-10-18. On Tarski's problem for virtually free groups. https://arxiv.org/abs/1910.08464

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