English

The strength of countable saturation

Logic 2016-05-20 v2

Abstract

We determine the proof-theoretic strength of the principle of countable saturation in the context of the systems for nonstandard arithmetic introduced in our earlier work.

Keywords

Cite

@article{arxiv.1605.02534,
  title  = {The strength of countable saturation},
  author = {B. van den Berg and E. M. Briseid and P. Safarik},
  journal= {arXiv preprint arXiv:1605.02534},
  year   = {2016}
}

Comments

Corrected typos in Lemma 3.4 and the final paragraph of the conclusion

R2 v1 2026-06-22T13:56:16.564Z