Exact potential summand

The part of an additive route score that depends only on endpoints.

Lenses and frameworks

Role. Target. Graph node exact.

If every state is reachable from a fixed start, path worth depends only on the final state exactly when r is an exact potential: each edge scores the utility of its target minus the utility of its source.

— Frames relations note

If an edge score is a gradient of a state potential, every closed walk sums to zero. That is why state utility and cycle residue conflict on round trips: see the red edge in Lean (stateCycleIncompat).

Exactness is a representation fact about a particular reward, not a claim that endpoints were the intended moral object.