D. Norman, Recursion on the Countable Functionals, Springer (1980), LNM 811

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A Combinatory Algebra for Sequential Functionals of Finite Type - van Oosten (1997)   (8 citations)  (Correct)

....common with the full abstraction problem for PCF . As far as I am aware however, the exact relationship between Kleene s work and the work on PCF still remains to be clarified. An important model of Kleene s axioms is provided by the so called continuous (or countable) functionals (see, e.g. [15]) They arise, in a standard way, as the type structure coming from the partial combinatory algebra of Kleene s function realizability (introduced in [14] This is a partial combinatory algebra structure on the set of functions from IN to IN. A surprising result of this paper is, that a natural ....

D. Norman, Recursion on the Countable Functionals, Springer (1980), LNM 811

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