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arxiv: 1204.5393 · v2 · pith:JPUNM2SNnew · submitted 2012-04-24 · 🧮 math.CO · cs.DM

Decidability of uniform recurrence of morphic sequences

classification 🧮 math.CO cs.DM
keywords sequencesmorphicrecurrencerecurrentuniformuniformlyboundedcorollary
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We prove that the uniform recurrence of morphic sequences is decidable. For this we show that the number of derived sequences of uniformly recurrent morphic sequences is bounded. As a corollary we obtain that uniformly recurrent morphic sequences are primitive substitutive sequences.

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