English

Isomorphisms of scattered automatic linear orders

Logic in Computer Science 2012-04-26 v1 Formal Languages and Automata Theory

Abstract

We prove that the isomorphism of scattered tree automatic linear orders as well as the existence of automorphisms of scattered word automatic linear orders are undecidable. For the existence of automatic automorphisms of word automatic linear orders, we determine the exact level of undecidability in the arithmetical hierarchy.

Keywords

Cite

@article{arxiv.1204.5653,
  title  = {Isomorphisms of scattered automatic linear orders},
  author = {Dietrich Kuske},
  journal= {arXiv preprint arXiv:1204.5653},
  year   = {2012}
}
R2 v1 2026-06-21T20:54:35.433Z