Unary primitive recursive functions

Journal of Symbolic Logic 73 (4):1122-1138 (2008)
Abstract
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. Gladstone. We reduce certain recursion schemes (mixed/pure iteration without parameters) and we characterize one-argument primitive recursive functions as the closure under substitution and iteration of certain optimal sets
Keywords unary   primitive recursive   recursion scheme   reduction
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Stefano Mazzanti (2013). Iteration on Notation and Unary Functions. Mathematical Logic Quarterly 59 (6):415-434.
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