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cs.FL2025
One-sided Hom shifts
Marie-Pierre Béal, Alexi Block Gorman
We prove that it is decidable whether a one-sided shift of finite type is conjugate to a one-sided Hom-shift, and whether a tree-shift of finite type is conjugate to a Hom tree-shi…
math.LO2025
A Dichotomy for -automatic expansions of Presburger Arithmetic
Jason Bell, Alexi Block Gorman, Chris Schulz
Let and let be a subset of the natural numbers that is -automatic and not eventually periodic. We show that the following dichotomy holds: either all -automatic…