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Computational complexity : a modern approach

Author: Sanjeev Arora; Barak Boaz
Publisher: Cambridge : Cambridge University Press, 2009.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Notational conventions -- The computational model, and why it doesn't matter -- NP and NP completeness -- Diagonalization -- Space complexity -- The polynomial hierarchy and alternations -- Boolean circuits -- Randomized computation -- Interactive proofs -- Cryptography -- Quantum computation -- PCP theorem and hardness of approximation : an introduction -- Decision trees -- Communication complexity -- Circuit lower  Read more...
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Genre/Form: Lehrbuch
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Sanjeev Arora; Barak Boaz
ISBN: 9780521424264 9780511804090 0511804091 0521424267
OCLC Number: 851026159
Description: Online-Ressource
Contents: Part I. Basic Complexity Classes: 1. The computational model - and why it doesn't matter; 2. NP and NP completeness; 3. Diagonalization; 4. Space complexity; 5. The polynomial hierarchy and alternations; 6. Boolean circuits; 7. Randomized computation; 8. Interactive proofs; 9. Cryptography; 10. Quantum computation; 11. PCP theorem and hardness of approximation: an introduction; Part II. Lower Bounds for Concrete Computational Models: 12. Decision trees; 13. Communication complexity; 14. Circuit lower bounds; 15. Proof complexity; 16. Algebraic computation models; Part III. Advanced Topics: 17. Complexity of counting; 18. Average case complexity: Levin's theory; 19. Hardness amplification and error correcting codes; 20. Derandomization; 21. Pseudorandom constructions: expanders and extractors; 22. Proofs of PCP theorems and the Fourier transform technique; 23. Why are circuit lower bounds so difficult?; Appendix A: mathematical background.
Responsibility: Sanjeev Arora, Boaz Barak.

Abstract:

Describes recent achievements and classical results of computational complexity theory, including interactive proofs, PCP, derandomization, and quantum computation. It can be used as a reference, for  Read more...

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'This book by two leading theoretical computer scientists provides a comprehensive, insightful and mathematically precise overview of computational complexity theory, ranging from early foundational Read more...

 
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