Operators define how a framework’s model is transformed, evaluated, compared, and composed. They are the functional layer of a framework.
Every operator begins with an identity: what it does, what it acts on, and what it guarantees. Operator identity is a structural declaration, not an implementation.
Identity ensures operators remain consistent across regimes and use cases.
Transformations change the form of the model without violating its identity. They are the structural actions that reshape or re‑express the model.
Transformations are reversible or irreversible depending on the framework’s declared constraints.
Evaluations measure or assess the model. They do not change the model; they extract information from it.
Evaluations ensure the model behaves as declared.
Comparisons relate one model to another. They reveal similarity, difference, alignment, or conflict.
Comparisons are essential for multi‑model frameworks and meta‑frameworks.
Compositions combine operators or models to create new capabilities. They define how simple actions build into complex behavior.
Compositions are where frameworks become powerful and expressive.