Birkhäuser
Bounded Queries in Recursion Theory
Product Code:
9781461268482
ISBN13:
9781461268482
Condition:
New
$118.37
Bounded Queries in Recursion Theory
$118.37
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.
| Author: William Levine |
| Publisher: Birkhauser |
| Publication Date: Jul 13, 2013 |
| Number of Pages: 353 pages |
| Binding: Paperback or Softback |
| ISBN-10: 1461268486 |
| ISBN-13: 9781461268482 |
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