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arxiv: 1110.2382 · v4 · pith:4ZNJLHNPnew · submitted 2011-10-11 · 💻 cs.FL · cs.DM· math.NT

Automatic sets of rational numbers

classification 💻 cs.FL cs.DMmath.NT
keywords k-automaticnotionnumberspropertiesrationalsetsautomaticbasic
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The notion of a k-automatic set of integers is well-studied. We develop a new notion - the k-automatic set of rational numbers - and prove basic properties of these sets, including closure properties and decidability.

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