Stronger asymptotic claims for excluded Fresnel coefficient pairs

Determine whether the stronger asymptotic claims associated with the two excluded Fresnel coefficient pairs are valid.

Background

The FLMF evaluation dataset includes formalized statements, intentional mutations, historical errors, and source-misprint pairs. During dataset construction, the authors excluded two Fresnel coefficient pairs, comprising four items, because their stronger asymptotic claims had not been resolved. The paper does not provide a proof or disproof of those claims, leaving their validity as an unresolved mathematical issue.

References

We also exclude two Fresnel coefficient pairs, comprising four items, because their stronger asymptotic claims are unresolved.

— Beyond LLM Judge: Mechanical Verification for Agentic Autoformalization  (2610.20573 - Mei et al., 14 Oct 2026) in Appendix, Section "Dataset construction, panel composition, and detection," subsection "Dataset construction and labels"