A subshift of finite type is a set of tilings of a group subject to a finite number of local constraints, where the group acts by translation. In recent years, much progress has been …
N Carrasco-Vargas - arXiv preprint arXiv:2401.10347, 2024 - arxiv.org
We study the algorithmic undecidability of abstract dynamical properties for sofic $\mathbb {Z}^{2} $-subshifts and subshifts of finite type (SFTs) on $\mathbb {Z}^{2} $. Within the class …
N Bitar - arXiv preprint arXiv:2312.08911, 2023 - arxiv.org
We study the seeded domino problem, the recurring domino problem and the $ k $-SAT problem on finitely generated groups. These problems are generalization of their original …
1In Lemma 2.4, we denote NC1 for “Nick's Class” of complexity of level 1, ie the class of languages L⊆ Σ∗ such that L is decidable by Boolean circuits with a polynomial number of …