theorem

PUB-persistent-scaffold-causal-algebra--thm-two-row

Claim PUB-persistent-scaffold-causal-algebra--thm-two-row

Exact statement

Theorem 8.1 (Unexposed two-row sewing). Fix dd , k≥1k\geq1 , and a behaviorally reduced old prefix. Consider two unexposed acyclic two-row extensions with the same consumer label, the same valid nonmissing path-demanding consumer coordinates, and literal agreement as missing or SELF\mathsf{SELF} on every other consumer coordinate. If corresponding path demands have the same final old residual behavior, the blocks are connected by endpoint detours, causal-garbage moves, continuation-aware routing crossings, and dedicated relation exchanges. Every common suffix is preserved.

Statusreview publication statement; not independently promoted by this index
External reviewNo documented external or specialist review of this FPRD result is recorded.

Context

This row inventories an exact theorem-like statement extracted from a publication. Publication presence and mathematical maturity are intentionally separate.

Proof or evidence

The proof context is available at the linked publication anchor. This matrix run verified the statement-to-anchor link, not the proof itself.

Verification notes

Reviewed on 2026-08-25 for stable extraction, publication anchor, and KaTeX validation. No theorem-level hostile proof audit is asserted.

Limitations

  • This row may overlap a governed FPRD claim; no equivalence is assumed until mapped.
  • The publication's review-stage label is not external specialist review evidence.

Open work

Map this publication statement to any governed claim, verify its hypotheses and proof dependencies, and remove duplicate inventory rows only after an exact mapping exists.