Fig. 2: Two examples of linguistic systematicity as a homomorphism.
From: Linguistic structure from a bottleneck on sequential information processing
L(⋅) stands for the English language, seen as a function from meanings to forms (strings). a, The meaning naturally decomposes into two features corresponding to the two animals. The form ‘a cat with a dog’ decomposes systematically into forms for the cat and the dog, concatenated together with the string ‘with’ between them. b, The meaning naturally decomposes into two features, corresponding to colour and shape. The form ‘blue square’ decomposes systematically into forms for the colour and the shape, concatenated together.
