Definition · sewing presentation

QA-GR-D03

Type-slot synchronization

Exact statement

A type-slot synchronization assigns anonymous double-deletion types to the pairwise slots among vertex-deleted card copies, respecting each card's local type multiset.

StatusExact
External reviewNo documented external or specialist review of this Quotient Arsenal result is recorded.

Context

Anonymous overlap types can all agree while the cards still fail to share one coherent naming. The smallest computed witness converts that mismatch into an equivariant matching defect.

Proof or evidence

The finite formulation is implemented independently in two census scripts.

Verification notes

An independent implementation reconstructed all 18 type-slot synchronizations, all 73,728 candidate row namings, the two symmetry orbits, all 864 S2 x S4 equivariance actions, and the 52-graph marked-orbit control through order five.

Limitations

  • It retains types but not a coherent naming of deleted vertices.

Open work

Use it as the baseline quotient for enriched receipts.