The present paper proposes first a generalization of closure theory and revisits Moore's theory in this framework. Afterwards closures of non cyclic functions are introduced and a method is given to transform cyclic into non cyclic functions. Eventually semantics of the while construct is found to be the closure of a function. Computability on inductive and non inductive data types is then studied with iterative means.

Partial closures and semantics of while: Towards an iteration-based theory of data types

MAZZANTI, STEFANO
1984

Abstract

The present paper proposes first a generalization of closure theory and revisits Moore's theory in this framework. Afterwards closures of non cyclic functions are introduced and a method is given to transform cyclic into non cyclic functions. Eventually semantics of the while construct is found to be the closure of a function. Computability on inductive and non inductive data types is then studied with iterative means.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11578/43182
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