Safe Recursion and Calculus over an Arbitrary Structure
Résumé
In this paper, we show that the Bellantoni and Cook characterization of polynomial time computable functions in term of safe recursive functions can be transfered to the model of computation over an arbitrary structure developped by L. Blum, M. Shub and S. Smale. Hence, we provide an implicit complexity characterization of functions computable in polynomial time over any arbitrary structure.