Craft's Theorem

Craft’s Theorem states that a function can be computed by a program if and only if it is computable by a finite set of basic, well-defined rules or procedures. In simple terms, it shows that complex functions are achievable through combinations of simpler, standard operations. This theorem underpins the foundation of computer science, demonstrating that any function a computer can calculate can be broken down into basic steps, and these steps can be assembled into a program to produce the desired outcome. It highlights the fundamental link between algorithms, functions, and the capabilities of computational devices.