Claim PUB-persistent-scaffold-causal-algebra--lem-extension

Exact statement

Lemma 6.2 (One-state extension dichotomy). Suppose two such fresh roots have the same behavior. If the behavior is not already a state of $Q$ , their missing and $\mathsf{SELF}$ positions agree, and their old target agrees at every other port. If the behavior is an old state $q\in Q$ , each row is a guarded unroll of $q$ : it copies every missing and strict-successor port, while a self-loop of $q$ may target either $q$ or the fresh variable $X$ .

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.

Persistent scaffold computation: causal presentations, sewing, and feedback, Lemma 6.2 →

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.