Cycle residue

The part of route value that survives on closed walks — reversibility and round trips.

Lenses and frameworks

Role. Target. Graph node cycle.

This is useful for routes, reversibility, and round trips. It does not derive which transitions are good.

— Frames draft §4.1

Cycle residue is what a state utility cannot see unless the state carries a record of the walk. Inside a deontic admissible region it can still rank learning above rewiring even when endpoints match.

It composes with correction as “route residue inside the region,” not as a second top-level target.