Computational complexity: a conceptual perspective
Complexity theory is a central field of the theoretical foundations of computer science. It is concerned with the general study of the intrinsic complexity of computational tasks; that is, it addresses the question of what can be achieved within limited time (and/or with other limited natural comput...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
2008
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| Online-Zugang: | BSB01 FHN01 UBY01 UER01 Volltext |
| Zusammenfassung: | Complexity theory is a central field of the theoretical foundations of computer science. It is concerned with the general study of the intrinsic complexity of computational tasks; that is, it addresses the question of what can be achieved within limited time (and/or with other limited natural computational resources). This book offers a conceptual perspective on complexity theory. It is intended to serve as an introduction for advanced undergraduate and graduate students, either as a textbook or for self-study. The book will also be useful to experts, since it provides expositions of the various sub-areas of complexity theory such as hardness amplification, pseudorandomness and probabilistic proof systems. In each case, the author starts by posing the intuitive questions that are addressed by the sub-area and then discusses the choices made in the actual formulation of these questions, the approaches that lead to the answers, and the ideas that are embedded in these answers |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xxiv, 606 pages) |
| ISBN: | 9780511804106 |
| DOI: | 10.1017/CBO9780511804106 |
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Datensatz im Suchindex
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| author | Goldreich, Oded 1957- |
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| contents | Introduction and preliminaries -- P, NP and NP-completeness -- Variations on P and NP -- More resources, more power -- Space complexity -- Randomness and counting -- The bright side of hardness -- Pseudorandom generators -- Probabilistic proof systems -- Relaxing the requirements -- Appendix A: Glossary of complexity classes -- Appendix B: On the quest for lower bounds -- Appendix C: On the foundations of modern cryptography -- Appendix D: Probabilistic preliminaries and advanced topics in randomization -- Appendix E: Explicit constructions -- Appendix F: Some omitted proofs -- Appendix G: Some computational problems |
| ctrlnum | (ZDB-20-CBO)CR9780511804106 (OCoLC)992909959 (DE-599)BVBBV043943034 |
| dewey-full | 511.3/52 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3/52 |
| dewey-search | 511.3/52 |
| dewey-sort | 3511.3 252 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1017/CBO9780511804106 |
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| indexdate | 2024-07-10T07:39:18Z |
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| isbn | 9780511804106 |
| language | English |
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| spelling | Goldreich, Oded 1957- Verfasser (DE-588)120549255 aut Computational complexity a conceptual perspective Oded Goldreich Cambridge Cambridge University Press 2008 1 online resource (xxiv, 606 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Introduction and preliminaries -- P, NP and NP-completeness -- Variations on P and NP -- More resources, more power -- Space complexity -- Randomness and counting -- The bright side of hardness -- Pseudorandom generators -- Probabilistic proof systems -- Relaxing the requirements -- Appendix A: Glossary of complexity classes -- Appendix B: On the quest for lower bounds -- Appendix C: On the foundations of modern cryptography -- Appendix D: Probabilistic preliminaries and advanced topics in randomization -- Appendix E: Explicit constructions -- Appendix F: Some omitted proofs -- Appendix G: Some computational problems Complexity theory is a central field of the theoretical foundations of computer science. It is concerned with the general study of the intrinsic complexity of computational tasks; that is, it addresses the question of what can be achieved within limited time (and/or with other limited natural computational resources). This book offers a conceptual perspective on complexity theory. It is intended to serve as an introduction for advanced undergraduate and graduate students, either as a textbook or for self-study. The book will also be useful to experts, since it provides expositions of the various sub-areas of complexity theory such as hardness amplification, pseudorandomness and probabilistic proof systems. In each case, the author starts by posing the intuitive questions that are addressed by the sub-area and then discusses the choices made in the actual formulation of these questions, the approaches that lead to the answers, and the ideas that are embedded in these answers Computational complexity Turing machines Berechnungskomplexität (DE-588)4134751-1 gnd rswk-swf Turing-Maschine (DE-588)4203525-9 gnd rswk-swf Turing-Maschine (DE-588)4203525-9 s 1\p DE-604 Berechnungskomplexität (DE-588)4134751-1 s 2\p DE-604 Erscheint auch als Druckausgabe 978-0-521-88473-0 https://doi.org/10.1017/CBO9780511804106 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Goldreich, Oded 1957- Computational complexity a conceptual perspective Introduction and preliminaries -- P, NP and NP-completeness -- Variations on P and NP -- More resources, more power -- Space complexity -- Randomness and counting -- The bright side of hardness -- Pseudorandom generators -- Probabilistic proof systems -- Relaxing the requirements -- Appendix A: Glossary of complexity classes -- Appendix B: On the quest for lower bounds -- Appendix C: On the foundations of modern cryptography -- Appendix D: Probabilistic preliminaries and advanced topics in randomization -- Appendix E: Explicit constructions -- Appendix F: Some omitted proofs -- Appendix G: Some computational problems Computational complexity Turing machines Berechnungskomplexität (DE-588)4134751-1 gnd Turing-Maschine (DE-588)4203525-9 gnd |
| subject_GND | (DE-588)4134751-1 (DE-588)4203525-9 |
| title | Computational complexity a conceptual perspective |
| title_auth | Computational complexity a conceptual perspective |
| title_exact_search | Computational complexity a conceptual perspective |
| title_full | Computational complexity a conceptual perspective Oded Goldreich |
| title_fullStr | Computational complexity a conceptual perspective Oded Goldreich |
| title_full_unstemmed | Computational complexity a conceptual perspective Oded Goldreich |
| title_short | Computational complexity |
| title_sort | computational complexity a conceptual perspective |
| title_sub | a conceptual perspective |
| topic | Computational complexity Turing machines Berechnungskomplexität (DE-588)4134751-1 gnd Turing-Maschine (DE-588)4203525-9 gnd |
| topic_facet | Computational complexity Turing machines Berechnungskomplexität Turing-Maschine |
| url | https://doi.org/10.1017/CBO9780511804106 |
| work_keys_str_mv | AT goldreichoded computationalcomplexityaconceptualperspective |