Categorical grammar is a type of formal grammar that is used in theoretical linguistics and computational linguistics. It is based on category theory, which is a branch of mathematics that deals with abstract structures and their relationships. Categorical grammars treat syntactic categories (like nouns, verbs, etc.) and constructs (like sentences) in terms of mathematical objects and morphisms (arrows) between them. In categorical grammar, the main idea is that grammatical structures can be represented as categories.
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