Lane A Hemaspaandra

(Author)

Theory of Semi-Feasible Algorithms (Softcover Reprint of the Original 1st 2003)Paperback - Softcover Reprint of the Original 1st 2003, 9 December 2010

Theory of Semi-Feasible Algorithms (Softcover Reprint of the Original 1st 2003)
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Part of Series
Monographs in Theoretical Computer Science. an Eatcs
Part of Series
Monographs in Theoretical Computer Science. an Eatcs Series
Print Length
150 pages
Language
English
Publisher
Springer
Date Published
9 Dec 2010
ISBN-10
3642075819
ISBN-13
9783642075810

Description

An Invitation to the Dance It is an underappreciated fact that sets may have various types of complex- ity, and not all types are in harmony with each other. The primary goal of this book is to unify and make more widely accessible a vibrant stream of research-the theory of semi-feasible computation-that perfectly showcases the richness of, and contrasts between, the central types of complexity. The semi-feasible sets, which are most commonly referred to as the P- selective sets, are those sets L for which there is a deterministic polynornial- time algorithm that, when given as input any two strings of which at least one belongs to L, will output one of them that is in L. The reason we saythat the semi-feasible sets showcase the contrasts among types of complexity is that it is well-known that many semi-feasible sets have no recursive algorithms (thus their time complexitycannot be upper-bounded by standard time-complexity classes), yet all semi-feasible sets are simple in a wide range of other natural senses. In particular, the semi-feasible sets have small circuits, they are in the extended low hierarchy, and they cannot be NP-complete unless P = NP. The semi-feasible sets are fascinating for many reasons. First, as men- tioned above, they showcase the fact that mere deterministic time complex- ity is not the only potential type of complexity in the world of computation.

Product Details

Authors:
Lane A HemaspaandraLeen Torenvliet
Book Edition:
Softcover Reprint of the Original 1st 2003
Book Format:
Paperback
Country of Origin:
NL
Date Published:
9 December 2010
Dimensions:
23.39 x 15.6 x 0.86 cm
ISBN-10:
3642075819
ISBN-13:
9783642075810
Language:
English
Location:
Berlin, Heidelberg
Pages:
150
Publisher:
Weight:
231.33 gm

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