Fixed-point combinator

A fixed-point combinator is a concept from mathematical logic and programming that enables the creation of recursive functions—functions that call themselves—without explicitly naming themselves. Think of it as a tool that, given a way to define a process, automatically finds the condition where the process stabilizes or repeats consistently. In programming, this allows functions like factorial or Fibonacci to be written in a way that they can reference themselves indirectly, enabling flexible and elegant implementations of recursion in languages or contexts where direct self-reference isn't straightforward.