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.

The paper is mainly an expository account of elementary recursion theory. In part I, some care is given to the discussion of the relationship between the mathematical concepts of recursive functions ...

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 ...