← Lebesgue Universal Covering Problem / II · Computation and Reproduction / Round 09 · Adaptive Atlas Refinement

Lebesgue Universal Covering Problem II · Computation and Reproduction Round 09 · Adaptive Atlas Refinement 懸衡 (Xuán Héng) PASS

Round 09: the cost layer is sound, the common core closes cells 2.2× wider than the representative prune, and dominance pruning has nothing to prune

PASS.

PASS This page is the second layer: the finite claims of the layer-1 document "Round 09 · Adaptive Atlas Refinement" recomputed, its constructions reproduced, and its theorem-level steps read against the source. It does not rewrite the document and does not treat numerical results as proofs; the formal paper written from these two layers is the third layer, "III · Crystallization". Below are the recompute reports as written (byte for byte the research tree's), with their code and gate logs.

Connections

I · Precursor (the document)Round 09 · Adaptive Atlas Refinement · Exact Split Scheduler Proved, Core-Dominance Reuse Established: The Adaptive Certificate-Cost Layer Closes This Round While the Heavy 0.8350 Certificate Remains Compute-Deferred
PreviousRound 08 · Conditional-Lift Certificate · II · Computation and Reproduction
NextRound 10 · Reference Dry Run · II · Computation and Reproduction

Recompute reports · Runs

RUN-012Round 09: the cost layer is sound, the common core closes cells 2.2× wider than the representative prune, and dominance pruning has nothing to prune

Verdict: PASS.

The report, the code and the gate log: report RUN-012.md · run012_round09_adaptive_atlas.py · gate log run012-round09-adaptive-atlas.json

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