English

Simple Classes of Automatic Structures

Logic in Computer Science 2026-01-14 v4 Logic

Abstract

We study two subclasses of the class of automatic structures: automatic structures of polynomial growth and Presburger structures. We present algebraic characterisations of the groups and the equivalence structures in these two classes.

Cite

@article{arxiv.2505.22821,
  title  = {Simple Classes of Automatic Structures},
  author = {Achim Blumensath},
  journal= {arXiv preprint arXiv:2505.22821},
  year   = {2026}
}
R2 v1 2026-07-01T02:47:18.618Z