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portada Bounded Queries in Recursion Theory
Type
Physical Book
Author
Publisher
Language
English
Pages
353
Format
Paperback
Dimensions
23.4 x 15.6 x 2.0 cm
Weight
0.52 kg.
ISBN13
9781461268482
Categories

Bounded Queries in Recursion Theory

William Levine (Author) · Georgia Martin (Author) · Birkhauser · Paperback

Bounded Queries in Recursion Theory - Levine, William ; Martin, Georgia

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Synopsis "Bounded Queries in Recursion Theory"

One of the major concerns of theoretical computer science is the classifi- cation of problems in terms of how hard they are. The natural measure of difficulty of a function is the amount of time needed to compute it (as a function of the length of the input). Other resources, such as space, have also been considered. In recursion theory, by contrast, a function is considered to be easy to compute if there exists some algorithm that computes it. We wish to classify functions that are hard, i.e., not computable, in a quantitative way. We cannot use time or space, since the functions are not even computable. We cannot use Turing degree, since this notion is not quantitative. Hence we need a new notion of complexity-much like time or spac that is quantitative and yet in some way captures the level of difficulty (such as the Turing degree) of a function.

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