You might also like

More about Bounded Queries in Recursion Theory

• Book details
• Synopsis
• Trending among others

You get 265 loyalty points

Book 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.

Book details

Book category Books in English Mathematics & science Mathematics Combinatorics & graph theory

• Full title: Bounded Queries in Recursion Theory
• Author: William Gasarch, Georgia Martin
• Language: English
• Binding: Hardback
• Number of pages: 353
• EAN: 9780817639662
• ISBN: 0817639667
• ID: 01399169
• Publisher: Birkhauser Boston Inc
• Weight: 1550 g
• Dimensions: 235 × 155 × 25 mm
• Date of publishing: 23. December 1998

Trending among others

---

---

---