theorem

PUB-persistent-scaffold-causal-algebra--thm-chain

Claim PUB-persistent-scaffold-causal-algebra--thm-chain

Exact statement

Theorem 4.1 (Generated-chain theorem). Let SS be a legally generated chronological scaffold with current top tt . Its physical graph and its minimal figure are weakly acyclic. The nodes reachable from tt , and the states of the minimal figure, are totally ordered by reachability. Conversely, every finite behaviorally reduced labelled rooted reachability-chain port graph, with an optional least unlabelled edgeless state, has an exact legal scaffold presentation at some finite distance.

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.