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Bounded Queries in Computability Theory

Bounded Queries in Computability Theory (Hardback)

£113.00
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Synopsis

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.

Computing & ITComputer scienceScience & MathematicsMathematicsApplied mathematicsScience & MathematicsMathematicsCombinatorics & graph theory Publisher: Birkhauser Boston Inc Publication Date: 23/12/1998 ISBN-13: 9780817639662  Details: Type: Hardback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

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