CONSERVATIONS OF FIRST-ORDER REFLECTIONS

Author:

ARAI TOSHIYASU

Abstract

AbstractThe set theory ΚΡΠN+1 for ΠN+1-reflecting universes is shown to be ΠN+1-conservative over iterations of ΠN-recursively Mahlo operations for each N ≥ 2.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference13 articles.

1. Wellfoundedness proofs by means of non-monotonic inductive definitions II: First order operators

2. [6] Arai T. , Lifting up the proof theory to the countables: Zermelo-Fraenkel’s set theory, forthcoming.

3. [4] Arai T. , Intuitionistic fixed point theories over set theories, submitted, arXiv: 1312.1133.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A SIMPLIFIED ORDINAL ANALYSIS OF FIRST-ORDER REFLECTION;The Journal of Symbolic Logic;2020-09

2. Collapsings;Ordinal Analysis with an Introduction to Proof Theory;2020

3. Intuitionistic fixed point theories over set theories;Archive for Mathematical Logic;2015-03-31

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