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Formal Math Gets Checks an LLM Judge Cannot Bluff
A verification pipeline combines semantic review with numerical and vacuity tests that produce checkable failures for Lean translations.
Summary
A verification pipeline combines semantic review with numerical and vacuity tests that produce checkable failures for Lean translations.
A proof assistant can accept a formally valid statement that mistranslates the source or says something vacuous. This work supplements language-model review with mechanical numerical and vacuity checks, then uses the process in an Extract-Verify-Proof pipeline for a partial formalization of the NIST Digital Library of Mathematical Functions. Across three labeled datasets, the authors report the lowest accepted-error rate among compared methods, while expert review found defects in both translations and source datasets. The result supports layered verification rather than replacing mathematical expertise.
Why it matters
A verification pipeline combines semantic review with numerical and vacuity tests that produce checkable failures for Lean translations.
Limits and context
No additional limitation was separately recorded.
Key claims
A verification pipeline combines semantic review with numerical and vacuity tests that produce checkable failures for Lean translations.
Evidence: source-2026-10-15-014
Sources
- arXiv preprint 2610.20573, original v1arXiv / submitting research authors · primary research
Corrections
: Publication note: This October 15 edition was prepared before its scheduled 9:00 AM America/Detroit reveal, but publication was delayed by a production build failure. The original reporting and image-generation timestamps are preserved.