combinatory logic

Combinatory logic is a branch of mathematical logic that focuses on the combination of functions without the need for variables. It was developed to analyze how functions can be applied to arguments, enabling computations without explicitly mentioning those arguments. In essence, it reduces expressions to their basic components, allowing us to study how functions interact through a system of rules. This framework underlies many concepts in computer science, especially in functional programming and type theory, where the emphasis is on applying functions to produce results efficiently and elegantly.