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arxiv: 1005.2007 · v1 · pith:EVPTBUJMnew · submitted 2010-05-12 · 🧮 math.LO

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

classification 🧮 math.LO
keywords definitionsinductiveproofswellfoundednessclassesdistinguishedfirstgive
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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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