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arXiv · 2411.07777

Iterating reflection over intuitionistic arithmetic

Emanuele Frittaion
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Abstract

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

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Emanuele Frittaion. 2024-11-12. Iterating reflection over intuitionistic arithmetic. https://doi.org/10.1017/s1755020326101117

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