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    A function could be provably total in V^1 under one forma... — Carmelics
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    Challenges→A function f(x) is in FP if and only if it is definable by a Σ^B_1-formula relative to which it is provably total in V^1

    A function could be provably total in V^1 under one formalization yet fail FP membership under a different but equivalent axiomatization, undermining biconditional stability.

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