Rank-7 toy Rota Basis conjecture and de-randomization
Rank-7 toy Rota Basis conjecture and de-randomization
Let be a rank- binary matroid instance from the circuit-rich pool template described in the source, including trap instances and conjugation by . Rank-7 toy Rota Basis conjecture. The evolved policy succeeds with probability over its internal randomness, and there is a deterministic de-randomization, obtained by removing the noise and using deterministic tie-breaking, that succeeds on the same class. This is an experiment-specific computational claim rather than a theorem about all rank- matroids, and the supplied text does not establish it mathematically.
Sources & referencesView supporting material
Primary source
Gergely Bérczi, “Evolving Local Corrections for Global Constructions in Combinatorics”, arXiv:2603.06692 (2026).
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