What was already known
Earlier examples reached moduli such as t log(1/t)^(1+ε), but the t log(1/t) barrier was open.
AI involvement
GPT 5.6 Sol Ultra proposed the essential barrier-case construction. Rohil Prasad repaired, checked and rewrote the proof and discovered the broader theorem.
The barrier-case construction's essential ingredients originated in the model draft, while the final proof and general theorem required central human repairs and extension.
Importance
Reaches the previously open logarithmic regularity barrier for Denjoy counterexamples.
Limitations
The model draft needed missing arguments and major human reformulation. Prasad supplied the completed proof and the broader theorem for every weaker-than-Lipschitz concave modulus; that extension is separately credited to him.
Technical verification
Prasad explicitly reports manually checking the authoritative final proof, including the AI-origin barrier construction after reconstruction. Claude's error search is not counted as a separate completed check.
Formal checking
Prasad explicitly reports manually checking the authoritative final proof, including the AI-origin barrier construction after reconstruction. Claude's error search is not counted as a separate completed check.
- Checker
- Rohil Prasad, paper author
- Scope
- Barrier-case Denjoy example at ω(t)=t log(1/t), within the final proof
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Human understanding
Prasad reconstructed and explains the model-origin construction and the refined proof, including which generalization and lemma changes he supplied.
Correction and publication history
Reaches the previously open logarithmic regularity barrier for Denjoy counterexamples.
Read this published revision