Why encoding massive numerical-certificate proofs in Lean is impractical

QuangVDao · x · 2026-09-15

Dimitris Papail explains why his AI-assisted proofs resist Lean formalization: they consist of huge numbers of distinct inputs, bounds, and numerical tables with poor compressibility. An upper bound proof takes the form "if these chosen probability distributions and numerical tables satisfy every prescribed inequality, then capacity is at most X" — encoding that in Lean wouldn't make verification easier.

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