• Produktbild: Theory of Computational Complexity
  • Produktbild: Theory of Computational Complexity

Theory of Computational Complexity

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

30.06.2014

Verlag

John Wiley & Sons Inc

Seitenzahl

512

Maße (L/B/H)

24/16,1/3,2 cm

Gewicht

933 g

Auflage

2nd Revised edition

Sprache

Englisch

ISBN

978-1-118-30608-6

Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

30.06.2014

Verlag

John Wiley & Sons Inc

Seitenzahl

512

Maße (L/B/H)

24/16,1/3,2 cm

Gewicht

933 g

Auflage

2nd Revised edition

Sprache

Englisch

ISBN

978-1-118-30608-6

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Theory of Computational Complexity
  • Produktbild: Theory of Computational Complexity
  • Preface ix
     
    Notes on the Second Edition xv
     
    Part I Uniform Complexity 1
     
    1 Models of Computation and Complexity Classes 3
     
    1.1 Strings, Coding, and Boolean Functions 3
     
    1.2 Deterministic Turing Machines 7
     
    1.3 Nondeterministic Turing Machines 14
     
    1.4 Complexity Classes 17
     
    1.5 Universal Turing Machine 23
     
    1.6 Diagonalization 27
     
    1.7 Simulation 31
     
    Exercises 35
     
    Historical Notes 41
     
    2 NP-Completeness 43
     
    2.1 NP 43
     
    2.2 Cook's Theorem 47
     
    2.3 More NP-Complete Problems 51
     
    2.4 Polynomial-Time Turing Reducibility 58
     
    2.5 NP-Complete Optimization Problems 64
     
    Exercises 71
     
    Historical Notes 75
     
    3 The Polynomial-Time Hierarchy and Polynomial Space 77
     
    3.1 Nondeterministic Oracle Turing Machines 77
     
    3.2 Polynomial-Time Hierarchy 79
     
    3.3 Complete Problems in PH 84
     
    3.4 Alternating Turing Machines 90
     
    3.5 PSPACE-Complete Problems 95
     
    3.6 EXP-Complete Problems 102
     
    Exercises 108
     
    Historical Notes 111
     
    4 Structure of NP 113
     
    4.1 Incomplete Problems in NP 113
     
    4.2 One-Way Functions and Cryptography 116
     
    4.3 Relativization 122
     
    4.4 Unrelativizable Proof Techniques 124
     
    4.5 Independence Results 125
     
    4.6 Positive Relativization 126
     
    4.7 Random Oracles 128
     
    4.8 Structure of Relativized NP 132
     
    Exercises 137
     
    Historical Notes 140
     
    Part II Nonuniform Complexity 141
     
    5 Decision Trees 143
     
    5.1 Graphs and Decision Trees 143
     
    5.2 Examples 149
     
    5.3 Algebraic Criterion 153
     
    5.4 Monotone Graph Properties 157
     
    5.5 Topological Criterion 159
     
    5.6 Applications of the Fixed Point Theorems 166
     
    5.7 Applications of Permutation Groups 169
     
    5.8 Randomized Decision Trees 172
     
    5.9 Branching Programs 177
     
    Exercises 184
     
    Historical Notes 188
     
    6 Circuit Complexity 191
     
    6.1 Boolean Circuits 191
     
    6.2 Polynomial-Size Circuits 195
     
    6.3 Monotone Circuits 201
     
    6.4 Circuits with Modulo Gates 208
     
    6.5 NC 212
     
    6.6 Parity Function 217
     
    6.7 P-Completeness 224
     
    6.8 Random Circuits and RNC 230
     
    Exercises 234
     
    Historical Notes 237
     
    7 Polynomial-Time Isomorphism 241
     
    7.1 Polynomial-Time Isomorphism 241
     
    7.2 Paddability 245
     
    7.3 Density of NP-Complete Sets 250
     
    7.4 Density of EXP-Complete Sets 258
     
    7.5 One-Way Functions and Isomorphism in EXP 262
     
    7.6 Density of P-Complete Sets 272
     
    Exercises 275
     
    Historical Notes 278
     
    Part III Probabilistic Complexity 281
     
    8 Probabilistic Machines and Complexity Classes 283
     
    8.1 Randomized Algorithms 283
     
    8.2 Probabilistic Turing Machines 288
     
    8.3 Time Complexity of Probabilistic Turing Machines 291
     
    8.4 Probabilistic Machines with Bounded Errors 294
     
    8.5 BPP and P 297
     
    8.6 BPP and NP 300
     
    8.7 BPP and the Polynomial-Time Hierarchy 302
     
    8.8 Relativized Probabilistic Complexity Classes 306
     
    Exercises 311
     
    Historical Notes 314
     
    9 Complexity of Counting 317
     
    9.1 Counting Class #P 318
     
    9.2 #P-Complete Problems 321
     
    9.3 oplus P and the Polynomial-Time Hierarchy 330
     
    9.4 #P and the Polynomial-Time Hierarchy 336
     
    9.5 Circuit Complexity and Relativized oplus P and #P 338
     
    9