Bounded Queries in Recursion Theory - Couverture souple

Levine, William; Martin, Georgia

Couverture souple

ISBN 10 : 1461268486 ISBN 13 : 9781461268482

Editeur : Birkhäuser, 2013

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.

Détails de l'édition

• Éditeur: Birkhäuser
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 1461268486
• ISBN 13: 9781461268482
• Reliure: Broché
• Nombre de pages: 372
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible