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Iterating reflection over intuitionistic arithmetic

Logic 2026-03-11 v5

Abstract

In this note, we investigate iterations of consistency, local and uniform reflection over HA\mathbf{HA} (Heyting Arithmetic). In the case of uniform reflection, we give a new proof of Dragalin's extension of Feferman's completeness theorem to HA\mathbf{HA}, drawing on Rathjen's proof of Feferman's classical result.

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@article{arxiv.2411.07777,
  title  = {Iterating reflection over intuitionistic arithmetic},
  author = {Emanuele Frittaion},
  journal= {arXiv preprint arXiv:2411.07777},
  year   = {2026}
}

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