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Various definitions of recursion from ordinal machines
Background: I'm trying to get an intuitive understanding of α-recursion and related concepts in higher recursion theory. Once nice book is Peter Hinman's Recursion-Theoretic Hierarchies, available ...
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Description of all total recursive functions where operator is effective?
What is a description of all total recursive functions $g(x)$ for which the operator$$\Phi_g: \mathcal{F}_2 \to \mathcal{F}_1$$defined by the formula$$\Phi_g(f)(x) := g(\mu y(f(x, y) = 0))$$is ...
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