The mathematical definition is canonical. It is the one that preserves context. The scheme definition is incomplete and allows for invalid compositions to occur

The mathematical definition is canonical. It is the one that preserves context. The scheme definition is incomplete and allows for invalid compositions to occur. Forth is not composing anything. Remember that, it is imitating composition through a collection of primitive commands. Composition exists in a function as a primitive. Again no one is talking about isomorphism between procedural and functional languages. Composition exists as a primitive in functional, composition exists as a concept of multiple commands in forth or other procedural languages. Get it?