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On Some Questions Regarding K-Regular And K-Context-Free Sequences

THEORETICAL COMPUTER SCIENCE(2008)

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Abstract
We answer two questions of Allouche and Shallit regarding k-regular sequences and k-context-free sequences. One of these has been solved independently in another way by Bell. We also provide a partial solution to another question of Allouche and Shallit regarding the subword complexity of k-context-free sequences. (c) 2008 Elsevier B. V. All rights reserved.
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Key words
automatic sequences,regular sequences,context-free sequences,subword complexity
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