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lf-lean: The frontier of verified software engineering | Theorem

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lf-lean is a verified translation from Rocq to Lean of all 1,276 statements in Logical Foundations, done by frontier AI 350× faster than humans.

Introduction As AIs automate increasingly complex software tasks, a fundamental tension emerges: how do we know the code they produce is correct? The standard approach of reviewing AI-generated code and its tests doesn't scale. Human review effort grows proportionally with code volume, while AI code generation capacity grows exponentially. 1 1 Moreover, frontier software engineering typically results in multiplicative bug growth; many bugs are subtle and interaction-driven, and their count grows super-linearly with code length and complexity. See Appendix C . If this trend continues, we're hea

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