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Proof-theoretic strengths of the well ordering principles

Logic 2019-05-22 v7

Abstract

In this note the proof-theoretic ordinal of the well-ordering principle for the normal functions g{\sf g} on ordinals is shown to be equal to the least fixed point of g{\sf g}. Moreover corrections to the previous paper are made.

Keywords

Cite

@article{arxiv.1811.09964,
  title  = {Proof-theoretic strengths of the well ordering principles},
  author = {Toshiyasu Arai},
  journal= {arXiv preprint arXiv:1811.09964},
  year   = {2019}
}

Comments

arXiv admin note: text overlap with arXiv:1704.08790