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arXiv · 1005.2007

Wellfoundedness proofs by means of non-monotonic inductive definitions II: first order operators

Toshiyasu Arai
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Abstract

In this paper, we give two proofs of the wellfoundedness of recursive notation systems for $\Pi_N$-reflecting ordinals. One is based on $\Pi_{N-1}^0$-inductive definitions, and the other is based on distinguished classes.

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Toshiyasu Arai. 2010-05-12. Wellfoundedness proofs by means of non-monotonic inductive definitions II: first order operators. https://arxiv.org/abs/1005.2007

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