On a Class of Reversible Primitive Recursive Functions and Its Turing-Complete Extensions
@article{Paolini2018OnAC, title={On a Class of Reversible Primitive Recursive Functions and Its Turing-Complete Extensions}, author={Luca Paolini and M. Piccolo and L. Roversi}, journal={New Generation Computing}, year={2018}, volume={36}, pages={233-256} }
Reversible computing is both forward and backward deterministic. This means that a uniquely determined step exists from the previous computational configuration (backward determinism) to the next one (forward determinism) and vice versa. We present the reversible primitive recursive functions (RPRF), a class of reversible (endo-)functions over natural numbers which allows to capture interesting extensional aspects of reversible computation in a formalism quite close to that of classical… Expand
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