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P, NP, and NP-Completeness
Contributor(s): Goldreich, Oded (Author)
ISBN: 052119248X     ISBN-13: 9780521192484
Publisher: Cambridge University Press
OUR PRICE:   $133.00  
Product Type: Hardcover - Other Formats
Published: August 2010
Qty:
Additional Information
BISAC Categories:
- Computers
Dewey: 005.1
LCCN: 2010023587
Physical Information: 0.7" H x 5.8" W x 9" (0.90 lbs) 216 pages
 
Descriptions, Reviews, Etc.
Publisher Description:
The focus of this book is the P-versus-NP Question and the theory of NP-completeness. It also provides adequate preliminaries regarding computational problems and computational models. The P-versus-NP Question asks whether or not finding solutions is harder than checking the correctness of solutions. An alternative formulation asks whether or not discovering proofs is harder than verifying their correctness. It is widely believed that the answer to these equivalent formulations is positive, and this is captured by saying that P is different from NP. Although the P-versus-NP Question remains unresolved, the theory of NP-completeness offers evidence for the intractability of specific problems in NP by showing that they are universal for the entire class. Amazingly enough, NP-complete problems exist, and furthermore hundreds of natural computational problems arising in many different areas of mathematics and science are NP-complete.

Contributor Bio(s): Goldreich, Oded: - Oded Goldreich is a Professor of Computer Science at the Weizmann Institute of Science and an incumbent of the Meyer W. Weisgal Professorial Chair. He is an editor for the SIAM Journal on Computing, the Journal of Cryptology, and Computational Complexity and previously authored the books Modern Cryptography, Probabilistic Proofs and Pseudorandomness, the two-volume work Foundations of Cryptography, and Computational Complexity: A Conceptual Perspective.