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Subclasses of the weakly computable reals

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SASW09 - International conference on computability, complexity and randomness

A real is called weakly computable if it is the limit of a computable sequence of rationals such that the sum of the differences of adjacent terms, or equivalently if it is the difference between two left-c.e. reals. The weakly computable reals form a real closed field. In this talk, we discuss subclasses of the weakly computable reals that form a real closed field by using Solovay reducibility extended for weakly computable reals.

This talk is part of the Isaac Newton Institute Seminar Series series.

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