What was already known
Howie had proved nonsingular-system solvability for locally indicable coefficient groups, and Gerstenhaber–Rothaus for compact connected Lie groups. Hyperlinear groups were also covered. Arbitrary coefficient groups remained open.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Resolves Howie’s conjecture for every coefficient group and finite nonsingular system.
Limitations
The linked Lean note checks a different, one-relator unimodular coefficient-injectivity result from a companion manuscript; it does not check the several-equation theorem here.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, prior-work, and scoped checking review for non-notifying local inclusion.
Read this published revision