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Conference Papers Year : 2019

The domino problem is undecidable on surface groups

Abstract

We show that the domino problem is undecidable on orbit graphs of non-deterministic substitutions which satisfy a technical property. As an application, we prove that the domino problem is undecidable for the fundamental group of any closed orientable surface of genus at least 2.
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Dates and versions

hal-02157971 , version 1 (17-06-2019)

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Nathalie Aubrun, Sebastián Barbieri, Etienne Moutot. The domino problem is undecidable on surface groups. MFCS2019 44th International Symposium on Mathematical Foundations of Computer Science, Aug 2019, Aachen, Germany. ⟨hal-02157971⟩
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