A BBchallenge contributor ('mxdys') pushed the Busy Beaver(6) lower bound to an unimaginably large tower and supplied a formal proof checked in the Coq assistant. Done in an open, collaborative setting rather than a traditional journal, it shows how machine checking can secure trust in results too intricate for human review. This signals a shift in how frontier math claims gain credibility.
— Machine-checked proofs could become a new standard for trust in high-stakes science and engineering, reshaping peer review and institutional gatekeeping.
Alexander Kruel
2025.09.15
80% relevant
Math, Inc.’s 'Gauss' produced a machine-checked Lean formalization of the Strong PNT (~25k LoC, ~1.1k theorems/defs), echoing the trend where machine-verified proofs secure trust in results too complex for traditional review—now extended from verification to AI-driven autoformalization.
Ted Gioia
2025.08.20
60% relevant
His proposed 'custodians of reality' parallels the turn to machine-checked proofs as new trust standards; both replace failing human gatekeeping with formalized verification to secure credibility.
Alexander Kruel
2025.08.11
70% relevant
The 'Lean + LLM for verified math reasoning' item points to combining LLMs with Lean, echoing the broader shift to machine‑checked proofs as a trust mechanism.
Scott
2025.06.28
100% relevant
The article notes a 'correctness proof in Coq' accompanying the new BB(6) lower bound by 'mxdys' in the BBchallenge.