English

Partitions of trees and ACA'

Logic 2011-06-14 v2

Abstract

We show that a version of Ramsey's theorem for trees for arbitrary exponents is equivalent to the subsystem ACA' of reverse mathematics.

Cite

@article{arxiv.0809.2267,
  title  = {Partitions of trees and ACA'},
  author = {Bernard A. Anderson and Jeffry L. Hirst},
  journal= {arXiv preprint arXiv:0809.2267},
  year   = {2011}
}

Comments

Final version for publication. Very minor changes. 5 pages

R2 v1 2026-06-21T11:19:49.751Z