lemma

PUB-persistent-stacks-scaffolding--lem-fresh-initial

Claim PUB-persistent-stacks-scaffolding--lem-fresh-initial

Exact statement

Lemma 2.2 (Fresh initial state). Every finite scaffolding automaton AA has an equivalent finite scaffolding automaton A⋆A^\star whose initial state occurs only before the first input symbol. The construction preserves acceptance of the empty word and every nonempty word without inserting an input step.

Statusreleased 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.