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19.9 The hierarchy from CAN to DILATE

System

Creative object

Strongest licensed claim

CAN

Image outside confident registered style classes

Statistical style deviation while retaining learned art membership

ARTISTIC repair

Corrected image under a fixed visual sketch

Typed visual integrity can be diagnosed, enforced, and audited

Local DIAL-CAN

Ordering of two registered update fields

A mixed bracket predicts when local artistic updates interact

DILATE paintbrush

Reusable deformation of a generative trajectory

A typed local operator family can be synthesized and transported across generative states

Full DILATE

Extended visual sketch \(S^+\)

A missing visual generator is constructed, transported, and independently admitted

The DILATE
Figure 19.1 The DILATE theory-extension cycle. A mixed order effect becomes a creative candidate only after projection away from registered operations, persistence across Weil probes, construction of a typed generator, and independent admission of the resulting sketch extension.