Definition: Five-component acceptance

For an already realized polygonal product description $g$, write

Acceptance is the conjunction of:

1. endpoints, shared segments, polygon closure, specified overlap components, canonical ambient transitions, and regular vertex words match;

2. deficit, oriented rotation, and full spinless affine peripheral map match the packet;

3. ordered affine words retain overlap-component data and integer winding marks;

4. primitive core and collar words agree in the declared reference frame, and their shared boundary realization agrees;

5. the worldsheet, transported rest data, and slice intersection agree, and peripheral holonomy fixes the worldsheet pointwise.

Embedding, spacelikeness, and active-cell nondegeneracy are separate prerequisites.