mu-recursive functions

Mu-recursive functions are a class of mathematical functions used in computer science and mathematical logic to formally define what can be computed. They are built from basic initial functions—like zero, successor, and projection—using a set of operations such as composition and primitive recursion. By applying these operations, an extensive variety of functions can be generated, capturing the concept of what is computably calculable. Essentially, mu-recursive functions formalize the idea of algorithms or procedures that a computer can perform, providing a rigorous foundation to understand the limits and capabilities of algorithmic computation.