Operator Taxonomy¶

The operator taxonomy classifies transformation operators through the Lean taxonomy path:

OperatorCode -> TransformationFamily -> TransformationKind

The authoritative Lean definitions are in:

SETheoryTransformation/Domain/Operator/Codes.lean
SETheoryTransformation/Domain/Operator/Labels.lean
SETheoryTransformation/Domain/Operator/Semantics.lean
SETheoryTransformation/Domain/TransformationFamily.lean
SETheoryTransformation/Domain/TransformationKind.lean

The reference registry mirrors are in:

reference/transformation-operators.toml
reference/transformation-families.toml
reference/transformation-kinds.toml

Generated data is in:

data/transformation/operator-registry.json
data/transformation/transformation-family-registry.json
data/transformation/transformation-catalog.json

Rule¶

Operators define changes.
Families group operators.
Kinds group families.
Persistence is evaluated downstream.