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arXiv · 1204.4988

Hardness of conjugacy and factorization of multidimensional subshifts of finite type

Jeandel Emmanuel·Pascal Vanier
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Abstract

We investigate here the hardness of conjugacy and factorization of subshifts of finite type (SFTs) in dimension $d>1$. In particular, we prove that the factorization problem is $\Sigma^0_3$-complete and the conjugacy problem $\Sigma^0_1$-complete in the arithmetical hierarchy.

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Jeandel Emmanuel, Pascal Vanier. 2012-04-23. Hardness of conjugacy and factorization of multidimensional subshifts of finite type. https://arxiv.org/abs/1204.4988

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