Computation on abstract data types. The extensional approach, with an application to streams

Annals of Pure and Applied Logic 81 (1-3):75-113 (1996)
In this paper we specialize the notion of abstract computational procedure previously introduced for intensionally presented structures to those which are extensionally given. This is provided by a form of generalized recursion theory which uses schemata for explicit definition, conditional definition and least fixed point recursion in functional of type level 2 over any appropriate structure. It is applied here to the case of potentially infinite streams as an abstract data type
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DOI 10.1016/0168-0072(96)88189-9
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References found in this work BETA
S. C. Kleene (1959). Countable Functionals. In A. Heyting (ed.), Journal of Symbolic Logic. Amsterdam, North-Holland Pub. Co. 81--100.
Yiannis N. Moschovakis (1989). The Formal Language of Recursion. Journal of Symbolic Logic 54 (4):1216-1252.

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Solomon Feferman (1995). Definedness. Erkenntnis 43 (3):295 - 320.

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