Vincent Wang


Grammar equations
Bob Coecke | Vincent Wang
Proceedings of the 2021 Workshop on Semantic Spaces at the Intersection of NLP, Physics, and Cognitive Science (SemSpace)

Diagrammatically speaking, grammatical calculi such as pregroups provide wires between words in order to elucidate their interactions, and this enables one to verify grammatical correctness of phrases and sentences. In this paper we also provide wirings within words. This will enable us to identify grammatical constructs that we expect to be either equal or closely related. Hence, our work paves the way for a new theory of grammar, that provides novel ‘grammatical truths’. We give a nogo-theorem for the fact that our wirings for words make no sense for preordered monoids, the form which grammatical calculi usually take. Instead, they require diagrams – or equivalently, (free) monoidal categories.


Sketching a Chinese writer’s vocabulary profile in English: the case of Ha Jin
Vincent Wang
Proceedings of the 32nd Pacific Asia Conference on Language, Information and Computation