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CONSERVATIONS OF FIRST-ORDER REFLECTIONS

Published online by Cambridge University Press:  18 August 2014

TOSHIYASU ARAI
TOSHIYASU ARAI*
Affiliation:
GRADUATE SCHOOL OF SCIENCE CHIBA UNIVERSITY CHIBA, 263-8522, JAPANE-mail: tosarai@faculty.chiba-u.jp
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Abstract

The 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.

Keywords

Reflecting ordinalsconservative extensions
Type
Articles
Information
The Journal of Symbolic Logic , Volume 79 , Issue 3 , September 2014 , pp. 814 - 825
Copyright
Copyright © The Association for Symbolic Logic 2014 

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References

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