Computability over the partial continuous functionals

Journal of Symbolic Logic 65 (3):1133-1142 (2000)
Abstract
We show that to every recursive total continuous functional Φ there is a PCF-definable representative Ψ of Φ in the hierarchy of partial continuous functionals, where PCF is Plotkin's programming language for computable functionals. PCF-definable is equivalent to Kleene's S1-S9-computable over the partial continuous functionals
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DOI 10.2307/2586691
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