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Magic Numbers In Periodic Sequences

Kreczman, Savinien and Prigioniero, Luca and Rowland, Eric and Stipulanti, Manon (2023) Magic Numbers In Periodic Sequences. Eric. pp. 2-19.

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In formal languages and automata theory, the magic number problem can be formulated as follows: for a given integer n, is it possible to find a number d in the range [n, 2n] such that there is no minimal deterministic finite automaton with d states that can be simulated by a minimal nondeterministic finite automaton with exactly n states? If such a number d exists, it is called magic. In this paper, we consider the magic number problem in the framework of deterministic automata with output, which are known to characterize automatic sequences. More precisely, we investigate magic numbers for periodic sequences viewed as either automatic, regular, or constant-recursive.

Item Type: Article
Uncontrolled Keywords: 1. Magic numbers 2. Periodic sequences 3. Automatic sequences 4. Regular sequences 5. Constant recursive sequences
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics
Q Science > QD Chemistry
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: nwokealisi
Date Deposited: 08 Feb 2024 13:53
Last Modified: 08 Feb 2024 13:53

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