Kernel-level trust in Lean is illusory because every large formalization to date has relied on axioms or porting steps outside the verified core
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An audit of the eight largest Mathlib-dependent developments found each invokes at least one of: classical choice with unchecked instance resolution, native_decide compilation, or a trusted C++ extension. Therefore a machine-generated proof would not in fact be verified, and the claim cannot be satisfied under any circumstances.
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By 2035 a machine-generated proof of a previously open Anna…
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By 2035 a machine-generated proof of a previously open Annals-level conjecture will be formally verified in Lean and accepted without a human-written proof sketch
ai-forecasting
formal-verification
mathematics
virtues: Accurate unrated · Falsifiable unrated · Clear unrated · Novel unrated · Important unrated
this claim:
Kernel-level trust in Lean is illusory because every large formalization to date has relied on axioms or porting steps outside the verified core
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