Definition: Record-only determination

Fix a finite $\mathsf{AL}$-record. An independent channel completion adds a finite isometry $V:C\to R\otimes B$, without an identification theorem linking it to that record. A temporal completion further specifies preparation, dynamics, emission maps, and time-labelled accessible factors.

A quantity is determined by the record alone if it has the same value in every permitted completion with the compared dimensions and task conventions fixed.