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Undecidable word problem in subshift automorphism groups

Abstract : This article studies the complexity of the word problem in groups of automorphisms of subshifts. We show in particular that for any Turing degree, there exists a subshift whose automorphism group contains a subgroup whose word problem has exactly this degree.
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https://hal.archives-ouvertes.fr/hal-01862896
Contributor : Pierre Guillon Connect in order to contact the contributor
Submitted on : Monday, September 3, 2018 - 5:28:23 PM
Last modification on : Friday, February 4, 2022 - 3:24:33 AM
Long-term archiving on: : Tuesday, December 4, 2018 - 6:23:43 PM

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  • HAL Id : hal-01862896, version 2
  • ARXIV : 1808.09194

Citation

Pierre Guillon, Emmanuel Jeandel, Jarkko Kari, Pascal Vanier. Undecidable word problem in subshift automorphism groups. Computer Science in Russia 2019, Jul 2019, Novosibirsk, Russia. ⟨hal-01862896v2⟩

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