LANA Project Interim Report Withholds Judgment on IUT Theory Proof
The LANA Project's interim report publicly acknowledges specific gaps in the IUT theory proof, indicating that the verification process has not yet reached a conclusion and that the project is not rushing to a final judgment.
Reporting from 1 source: ASCII.jp.
The LANA Project, which is working on computer verification of Inter-universal Teichmüller (IUT) theory, published an interim report on July 17, 2026. The report states that the project continues to withhold judgment on whether the abc conjecture has been proved by IUT theory, and points out unclear points in the derivation of Corollary 3.12 from Theorem 3.11. The project aims to refine remaining issues and translate them into Lean code.
The report, released in conjunction with a presentation at ZEN University's ZMC, organizes the history of discussions around IUT theory and identifies specific points where the original papers are not clearly traceable. The project members find unclear points in the process of deriving Corollary 3.12 from Theorem 3.11 in the third paper of IUT theory. The issues include the two calculations of q-pilot logarithmic volume being considered 'tautologically equivalent' and how one of the multiple possible data from an algorithm output is identified with the data determined from the input. The report also notes its relationship with the 2018 Scholze-Stix report.
Synthesized by Yomimono from the 1 cited source below, including Japanese-language reporting where cited, then editorially reviewed before publishing.