Computations in Higher Types
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Abstract.- The computation domain.- Recursion on ?.- Connection with Kleene recursion in higher types.- Recursion in normal lists on ?.- Kleene recursion in normal objects of type n+2, n>0.- Computation theories on ?.- Abstract Kleene theories.- Normal computation theories on ?.- More about Mahloness.- Calculation of the lengths of some computations.- Gaps.- On platek: "Foundations of recursion theory".- A final comment concerning the two types.