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Cut-elimination for $ω_{1}$

Published 27 Jan 2018 in math.LO | (1801.10025v1)

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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