On the complexity of recurring sequences

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Discrete Mathematics and Applications | 2003年 / 13卷 / 02期
基金：
俄罗斯基础研究基金会;
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D O I：
10.1163/156939203322109122
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摘要：
We study recurring sequences over finite fields sets and the set N = {0, 1, 2, . . .}. The complexity of recurring sequences over finite sets is estimated as the complexity of computing on determinate linearly bounded automata. We introduce the notion of a branching recurring sequence. The complexity of branching recurring sequences over finite sets is estimated as the complexity of computing on non-determinate linearly bounded automata. Recurring sequences over the set N simulate computations on multi-tape Minsky machines. We ascertain undecidability of some problems concerning this type of recurring sequences.
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页码：167 / 178
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