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arXiv · 2307.11745

Alternating state complexity of the set of primes and squarefree integers

Jan-Christoph Schlage-Puchta
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Abstract

We show that the set of prime numbers has exponential alternating complexity, proving a conjecture by Fijalkow. We further show that the set of squarefree integers has essentially maximal possible alternating complexity.

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Jan-Christoph Schlage-Puchta. 2023-07-21. Alternating state complexity of the set of primes and squarefree integers. https://arxiv.org/abs/2307.11745

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