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

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

preprint2010arXivOpen access
Toshiyasu Arai
math.LO
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Toshiyasu Arai

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