Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: Family 116. Uniform identity testing for noncommutative formulas

Family claims › Theoretical computer science · lines 869–874

OpenAI@2026-10-07#rem:oai-116

Back to manuscript

For each characteristic, constructs in deterministic polynomial bit time a polynomial-dimensional matrix tuple detecting every nonzero division-free noncommutative formula of bounded size over any field of that characteristic. Rational formulas over also admit polynomial-size hitting lists whenever they have a defined rational-matrix evaluation.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.

Nearby in this section