The compositionality of derivational meaning

Derivations are at least partially compositional, whereby Level 1 derivations tend to be less semantically transparent than Level 2 derivations.

1. Variables: A, B, C, where A ranges over stems (simple or complex), B ranges over affixes, C ranges over complex stems.
2. Constants: a, b, c, where a, b, c are signs.
3. Model variables: P, O, S are models in terms of which signs are interpreted phonologically, orthographically, semanticslly, where P is a phonetic structure, O is an orthographic structure, and S is a semantic structure.
4. Composition and interpretation:
   1. Grammatical composition,
   2. Phonological interpretation,
   3. Orthographic interpretation,
   4. Semantic interpretation,
5. All three kinds of interpretation are compositional, i.e. some property of the whole complex unit is a function of the same property holding for the parts of the complex unit:
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