Abstract:One way to depict a crystallographic structure is by a periodic (di)graph, i.e., a graph whose group of automorphisms has a translational subgroup of finite index acting freely on the structure. We establish a relationship between periodic graphs representing crystallographic structures and an infinite hierarchy of intersection languages ππβd, d = 0, 1, 2, β¦, within the intersection classes of deterministic context-free languages. We introduce a class of counter machines that accept these languages, where th… Show more
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