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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Bounded Queries in Recursion Theory

Bounded Queries in Recursion Theory

Levine, William
Martin, Georgia

Hardcover

Series: Progress in Computer Science and Applied Logic, Book 16

General ComputersGeneral Mathematics

ISBN10: 0817639667
ISBN13: 9780817639662
Publisher: Springer Nature
Published: Dec 23 1998
Pages: 353
Weight: 1.55
Height: 0.88 Width: 6.14 Depth: 9.21
Language: English
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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