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arXiv · 2510.14399

The Provably Total Set-Recursive Functions of KPl

Juan Pablo Aguilera·Anton Fernández·Joost J. Joosten
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Abstract

Using relativized ordinal analysis, we give a proof-theoretic characterization of the provably total set-recursive-from-$\omega$ functions of KPl and related theories.

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Juan Pablo Aguilera, Anton Fernández, Joost J. Joosten. 2025-10-16. The Provably Total Set-Recursive Functions of KPl. https://arxiv.org/abs/2510.14399

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