Hodge and Yang-Mills still lack full Lean formalizations, making near-term solutions less likely
Jsevillamol · x · 2026-09-23
Jsevillamol points out a non-obvious fact: two Millennium Prize Problems — the Hodge conjecture and Yang-Mills existence and mass gap — still lack fully formalized Lean statements.
Without machine-checkable formal statements, he argues, near-term solutions become considerably less likely, though he remains optimistic long-term. He previously proposed "published result with accompanying Lean certificate" as the gold standard for declaring a problem solved, noting about 3 of 5 Clay problems already have accepted Lean formalizations, with the gap expected to close.
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