In this article, we study some new characterizations of primitive recursive functions based on restricted forms of primitive recursion, improving the pioneering work of R. M. Robinson and M. D.

Primitive Recursive Function: A class of total functions built from basic initial functions using composition and primitive recursion, often serving as a theoretical foundation in computability.

Reversible programming languages and computing represent a forward‐looking paradigm in which every computational operation is designed to be invertible. In these systems, each transition from one ...