English

Brown's lemma in second-order arithmetic

Logic 2016-03-03 v3

Abstract

We show that Brown's lemma is equivalent to Sigma02-induction over RCA0* and that the finite version of Brown's lemma is provable in RCA0 but not in RCA0*.

Cite

@article{arxiv.1512.04195,
  title  = {Brown's lemma in second-order arithmetic},
  author = {Emanuele Frittaion},
  journal= {arXiv preprint arXiv:1512.04195},
  year   = {2016}
}

Comments

Improved version

R2 v1 2026-06-22T12:08:45.195Z