Primitive recursive functions

Primitive recursive functions are a class of mathematical functions built from basic initial functions using rules like composition and recursion, ensuring they always produce a result in a finite number of steps. They can be thought of as functions that are computably realizable through straightforward, well-defined processes, such as addition or multiplication. These functions are significant because they are guaranteed to terminate and are often used to model algorithms that are guaranteed to finish with an answer, making them a foundational concept in mathematical logic and computer science.