Csaba Szepesvari questions trust in Lean compilers and kernels for formal proofs

CsabaSzepesvari · x · 2026-09-07

RL researcher Csaba Szepesvari raises a key objection to AI-assisted Lean formalization (in a discussion referencing Anthropic and FLT): compiling a proof into Lean requires a correct compiler, and while the Lean kernel is small and relatively trusted, is it truly bug-free? Mathlib extensions also need scrutiny.

In follow-ups he walks back part of the concern: all axioms used can be printed, and a sorry-free proof is a proof apart from Lean bugs — hand-checking formalizations is feasible. A serious debate on the trust boundaries of AI-assisted formal mathematics.

Related event: Claude's FLT Proof Ignites Math Community Scooping-Ethics Debate(26 posts)→

Original post →

More from Research

Research channel →