Definition: Complete response catalogue

Fix a response domain $\mathcal{B}$, a reference-normalized response function $q:\mathcal{B}\to \mathbb{R}$, and all lower-order choices. A list $n_1,\dots ,n_L:\mathcal{B}\to \mathbb{R}$ is a complete finite-renormalization response catalogue if:

1. every allowed finite change of normalization changes the response by ${\sum }_a{c}_a{n}_a$, with coefficients constant across $\mathcal{B}$;

2. every listed direction is an allowed response change, or the allowed coefficient subspace is explicitly supplied;

3. all responses, including composite and switch-dependent contributions, have been evaluated using the same observable, dynamics, and boundary prescription.