Cut-elimination for $\omega_{1}$

Toshiyasu Arai

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arXiv · 1801.10025

Cut-elimination for $\omega_{1}$

Toshiyasu Arai

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Abstract

In this paper we calibrate the strength of the soundness of a Kripke-Platek set theory with the axioms of Infinity and \Pi_{1}-Collection with the assumption that`there exists an uncountable regular ordinal' in terms of the existence of ordinals.

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Toshiyasu Arai. 2018-01-27. Cut-elimination for $\omega_{1}$. https://arxiv.org/abs/1801.10025

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