Abstract Categorial Theory

Abstract Categorial Theory is a mathematical framework used to analyze the structure of language and meaning. It models how words and phrases connect and combine to form sentences by representing them as abstract objects called "categories." These categories capture the relationships and rules governing language, allowing for a systematic understanding of syntax (sentence structure) and semantics (meaning). Essentially, it provides a formal toolkit to study how language components interact and build complex expressions, bridging linguistic theory with mathematical precision.