Distributive grammar refers to a linguistic theory that studies how words are distributed throughout a sentence. There are various synonyms for this theory, including distributional grammar, functional grammar, usage-based grammar, and construction grammar. Distributional grammar emphasizes the importance of analyzing the distribution of words in a sentence to understand their meaning and function. Functional grammar takes into account the communicative context in which language is used. Usage-based grammar focuses on how language is acquired through exposure to language use in meaningful contexts. Finally, construction grammar emphasizes the importance of analyzing the grammatical constructions that underlie language use. All of these theories offer valuable insights into the structure and use of language.