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Recursion Theory - Computational Aspects of Definability (Hardcover, Digital original)
Loot Price: R4,700
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Recursion Theory - Computational Aspects of Definability (Hardcover, Digital original)
Series: De Gruyter Series in Logic & its Applications
Expected to ship within 12 - 19 working days
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This monograph presents recursion theory from a generalized point
of view centered on the computational aspects of definability. A
major theme is the study of the structures of degrees arising from
two key notions of reducibility, the Turing degrees and the
hyperdegrees, using techniques and ideas from recursion theory,
hyperarithmetic theory, and descriptive set theory. The emphasis is
on the interplay between recursion theory and set theory, anchored
on the notion of definability. The monograph covers a number of
fundamental results in hyperarithmetic theory as well as some
recent results on the structure theory of Turing and hyperdegrees.
It also features a chapter on the applications of these
investigations to higher randomness.
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