Novel mathematical claims produced by an AI must be formally verified, such as in a proof assistant, before they can be trusted as legitimate results.

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• AI-written code makes formal proof necessary, because human review of all that generated code becomes the bottleneck. MKMartin Kleppmann22 Apr 2026formal proof
• Formal verification is about to become economical, because models are getting good enough at writing the proofs that humans no longer have to. MKMartin Kleppmann22 Apr 2026formal proof
• Formalising a proof in Lean currently takes about ten times the effort of writing it out: doable, but annoying. TTTerence Tao14 Jun 2025formal proof
• Full formal verification is a waste of money for most software: near-perfect is reachable with ordinary techniques at a fraction of the cost. HWHillel Wayne21 Jan 2019formal proof
• Nuclear power plants, the standard example of software that must be proved correct, do not care about formal verification: thorough testing is enough for them. HWHillel Wayne29 Jul 2026formal proof

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