ENGLISH

A Survey of Lower Bounds for Satisfiability and Related Problems

By Dieter Melkebeek van

Book information

Publisher
Now Publishers Inc
Year
2007
ISBN
1601980841, 9781601980847, 9781601980854
DOI
10.1561/0400000012
Open Library ID
OL12553920M
Language
english
Format
PDF
Filesize
704 kB (720992 bytes)
Series
Foundations and Trends(R) in Theoretical Computer Science
Pages
125\125
Scanned
yes
Time added
2010-05-31 00:48:14

Description

NP-completeness arguably forms the most pervasive concept from computer science as it captures the computational complexity of thousands of important problems from all branches of science and engineering. The P versus NP question asks whether these problems can be solved in polynomial time. A negative answer has been widely conjectured for a long time but, until recently, no concrete lower bounds were known on general models of computation. Satisfiability is the problem of deciding whether a given Boolean formula has at least one satisfying assignment. It is the first problem that was shown to be NP-complete, and is possibly the most commonly studied NP-complete problem, both for its theoretical properties and its applications in practice. A Survey of Lower Bounds for Satisfiability and Related Problems surveys the recently discovered lower bounds for the time and space complexity of satisfiability and closely related problems. It overviews the state-of-the-art results on general deterministic, randomized, and quantum models of computation, and presents the underlying arguments in a unified framework. A Survey of Lower Bounds for Satisfiability and Related Problems is an invaluable reference for professors and students doing research in complexity theory, or planning to do so.

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