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arxiv: 1204.0205 · v4 · pith:UE2YT2PWnew · submitted 2012-04-01 · 🧮 math.LO

Conservations of first-order reflections

classification 🧮 math.LO
keywords conservationsconservativefirst-orderiterationsmahlooperationsrecursivelyreflecting
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The set theory KP$\Pi_{N+1}$ for $\Pi_{N+1}$-reflecting universes is shown to be $\Pi_{N+1}$-conservative over iterations of $\Pi_{N}$-recursively Mahlo operations for each $N\geq 2$.

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