English

An asymptotic version of Cobham's theorem

Number Theory 2022-09-21 v1 Formal Languages and Automata Theory Combinatorics

Abstract

We introduce the notion of an asymptotically automatic sequence, which generalises the notion of an automatic sequence, and we prove a variant of Cobham's theorem for the newly introduced class of sequences.

Keywords

Cite

@article{arxiv.2209.09588,
  title  = {An asymptotic version of Cobham's theorem},
  author = {Jakub Konieczny},
  journal= {arXiv preprint arXiv:2209.09588},
  year   = {2022}
}

Comments

17 pages

R2 v1 2026-06-28T01:43:30.567Z