English

Automatic structures and the problem of natural well-orderings

Logic 2024-07-16 v1

Abstract

We explore the idea of using automatic and similar kind of presentations of structures to deal with the conceptual problem of natural proof-theoretic ordinal notations. We conclude that this approach still does not meet the goals.

Keywords

Cite

@article{arxiv.2407.10198,
  title  = {Automatic structures and the problem of natural well-orderings},
  author = {Lev D. Beklemishev and Fedor N. Pakhomov},
  journal= {arXiv preprint arXiv:2407.10198},
  year   = {2024}
}

Comments

19 pages

R2 v1 2026-06-28T17:40:18.589Z