Titlebook: Computability and Complexity in Analysis; 4th International Wo Jens Blanck,Vasco Brattka,Peter Hertling Conference proceedings 2001 Springe

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Characterization of the Computable Real Numbers by Means of Primitive Recursive Functionserize the computable real numbers by using only primitive recursive functions.We prove Mostowski’s result differently and apply it to get other simple characterizations of this kind. For instance, a real number is shown to be computable if and only if it belongs to all members of some primitive recu

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Stress, Hypoxia, and Immune Responsesracterization is given by many-sorted so-called indicator functions. Under weak suppositions on the underlying spaces, there are also single-sorted effectively categorical structures characterizing the standard representations. To this purpose, both basic constants and infinitary basic functions of the structures are necessary.

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