Perhaps ironically, I am having trouble distilling your abstractions into concrete concepts.

A dog or chimpanzee can easily understand conceptual ideas such as 'walk', 'play', 'food', and so on, even through language. Not to say humans don't process these in different ways, and are able to manipulate them as abstract concepts as other species generally cannot, but in isolation it seems the fundamental principles can be widely accessed. What sort of test might you propose that demonstrates the difference you describe?