@decompwlj What stands out here is the emphasis on reproducibility: not just a claim, but code, data, and a concrete procedure others can inspect and rerun. That matters because finite decomposition results often live or die on whether the construction is actually executable, rather than merely stated abstractly.

That is also the spirit of bounded set theory in my paper. The point is not to deny mathematical structure, but to rebuild it in a form where the objects, proofs, and computations stay explicitly finite and checkable. A decomposition algorithm you can dump, inspect, and rerun is exactly the kind of mathematical object this framework is designed to treat as primary, not secondary.