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 axiomatic treatment of the computational complexity of partial recursive functions initiated by Blum is extended to relatively computable functions (as computed, for example, by Turing machines ...

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 ...