Studies in Complexity and Cryptography
Miscellanea on the Interplay between Randomness and Computation
(Sprache: Englisch)
Paying witness to the author's thirty-year career in science, these high-quality papers, some co-written with colleagues, reflect his professional range, covering material from average-case complexity to derandomization and probabilistically checkable proofs.
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Produktinformationen zu „Studies in Complexity and Cryptography “
Paying witness to the author's thirty-year career in science, these high-quality papers, some co-written with colleagues, reflect his professional range, covering material from average-case complexity to derandomization and probabilistically checkable proofs.
Klappentext zu „Studies in Complexity and Cryptography “
This book presents a collection of 36 pieces of scientific work in the areas of complexity theory and foundations of cryptography: 20 research contributions, 13 survey articles, and 3 programmatic and reflective viewpoint statements. These so far formally unpublished pieces were written by Oded Goldreich, some in collaboration with other scientists. The articles included in this book essentially reflect the topical scope of the scientific career of Oded Goldreich now spanning three decades. In particular the topics dealt with include average-case complexity, complexity of approximation, derandomization, expander graphs, hashing functions, locally testable codes, machines that take advice, NP-completeness, one-way functions, probabilistically checkable proofs, proofs of knowledge, property testing, pseudorandomness, randomness extractors, sampling, trapdoor permutations, zero-knowledge, and non-iterative zero-knowledge. All in all, this potpourri of studies in complexity and cryptography constitutes a most valuable contribution to the field of theoretical computer science centered around the personal achievements and views of one of its outstanding representatives.
Inhaltsverzeichnis zu „Studies in Complexity and Cryptography “
- Research Contributions- Finding the Shortest Move-Sequence in the Graph-Generalized 15-Puzzle Is NP-Hard
- Proving Computational Ability
- On Constructing 1-1 One-Way Functions
- On the Circuit Complexity of Perfect Hashing
- Collision-Free Hashing from Lattice Problems
- Another Proof That BPP ? PH (and More)
- Strong Proofs of Knowledge
- Simplified Derandomization of BPP Using a Hitting Set Generator
- On Testing Expansion in Bounded-Degree Graphs
- Candidate One-Way Functions Based on Expander Graphs
- Using the FGLSS-Reduction to Prove Inapproximability Results for Minimum Vertex Cover in Hypergraphs
- The GGM Construction Does NOT Yield Correlation Intractable Function Ensembles
- From Logarithmic Advice to Single-Bit Advice
- On Probabilistic versus Deterministic Provers in the Definition of Proofs of Knowledge
- On the Average-Case Complexity of Property Testing
- A Candidate Counterexample to the Easy Cylinders Conjecture
- Absolute Distinguishability to Positive Distinguishability
- Testing Graph Blow-Up
- Proximity Oblivious Testing and the Role of Invariances
- In a World of P=BPP
- Surveys
- Notes on Levin's Theory of Average-Case Complexity
- Three XOR-Lemmas - An Exposition
- On Yao's XOR-Lemma
- A Sample of Samplers: A Computational Perspective on Sampling
- Short Locally Testable Codes and Proofs
- Bravely, Moderately: A Common Theme in Four Recent Works
- On the Complexity of Computational Problems Regarding Distributions
- Basing Non-Interactive Zero-Knowledge on (Enhanced) Trapdoor Permutations: The State of the Art
- Average Case Complexity, Revisited
- Basic Facts about Expander Graphs
- A Brief Introduction to Property Testin
- Introduction to Testing Graph Properties
- Randomness and Computation
- Programmatic and Reflective Articles
- On Security Preserving Reductions - Revised Terminology
- Contemplations on Testing Graph Properties
- Another Motivation for Reducing the Randomness Complexity of
... mehr
Algorithms
- About the Authors. Finding the Shortest Move-Sequence in the Graph-Generalized 15-Puzzle Is NP-Hard
- Proving Computational Ability
- On Constructing 1-1 One-Way Functions
- On the Circuit Complexity of Perfect Hashing
- Collision-Free Hashing from Lattice Problems
- Another Proof That BPP ? PH (and More)
- Strong Proofs of Knowledge
- Simplified Derandomization of BPP Using a Hitting Set Generator
- On Testing Expansion in Bounded-Degree Graphs
- Candidate One-Way Functions Based on Expander Graphs
- Using the FGLSS-Reduction to Prove Inapproximability Results for Minimum Vertex Cover in Hypergraphs
- The GGM Construction Does NOT Yield Correlation Intractable Function Ensembles
- From Logarithmic Advice to Single-Bit Advice
- On Probabilistic versus Deterministic Provers in the Definition of Proofs of Knowledge
- On the Average-Case Complexity of Property Testing
- A Candidate Counterexample to the Easy Cylinders Conjecture
- Absolute Distinguishability to Positive Distinguishability
- Testing Graph Blow-Up
- Proximity Oblivious Testing and the Role of Invariances
- In a World of P=BPP
- Surveys
- Notes on Levin's Theory of Average-Case Complexity
- Three XOR-Lemmas - An Exposition
- On Yao's XOR-Lemma
- A Sample of Samplers: A Computational Perspective on Sampling
- Short Locally Testable Codes and Proofs
- Bravely, Moderately: A Common Theme in Four Recent Works
- On the Complexity of Computational Problems Regarding Distributions
- Basing Non-Interactive Zero-Knowledge on (Enhanced) Trapdoor Permutations: The State of the Art
- Average Case Complexity, Revisited
- Basic Facts about Expander Graphs
- A Brief Introduction to Property Testin
- Introduction to Testing Graph Properties
- Randomness and Computation
- Programmatic and Reflective Articles
- On Security Preserving Reductions - Revised Terminology
- Contemplations on Testing Graph Properties
- Another Motivation for Reducing the Randomness Complexity of Algorithms
- About the Authors />- Surveys
- Notes on Levin's Theory of Average-Case Complexity
- Three XOR-Lemmas - An Exposition
- On Yao's XOR-Lemma
- A Sample of Samplers: A Computational Perspective on Sampling
- Short Locally Testable Codes and Proofs
- Bravely, Moderately: A Common Theme in Four Recent Works
- On the Complexity of Computational Problems Regarding Distributions
- Basing Non-Interactive Zero-Knowledge on (Enhanced) Trapdoor Permutations: The State of the Art
- Average Case Complexi
- About the Authors. Finding the Shortest Move-Sequence in the Graph-Generalized 15-Puzzle Is NP-Hard
- Proving Computational Ability
- On Constructing 1-1 One-Way Functions
- On the Circuit Complexity of Perfect Hashing
- Collision-Free Hashing from Lattice Problems
- Another Proof That BPP ? PH (and More)
- Strong Proofs of Knowledge
- Simplified Derandomization of BPP Using a Hitting Set Generator
- On Testing Expansion in Bounded-Degree Graphs
- Candidate One-Way Functions Based on Expander Graphs
- Using the FGLSS-Reduction to Prove Inapproximability Results for Minimum Vertex Cover in Hypergraphs
- The GGM Construction Does NOT Yield Correlation Intractable Function Ensembles
- From Logarithmic Advice to Single-Bit Advice
- On Probabilistic versus Deterministic Provers in the Definition of Proofs of Knowledge
- On the Average-Case Complexity of Property Testing
- A Candidate Counterexample to the Easy Cylinders Conjecture
- Absolute Distinguishability to Positive Distinguishability
- Testing Graph Blow-Up
- Proximity Oblivious Testing and the Role of Invariances
- In a World of P=BPP
- Surveys
- Notes on Levin's Theory of Average-Case Complexity
- Three XOR-Lemmas - An Exposition
- On Yao's XOR-Lemma
- A Sample of Samplers: A Computational Perspective on Sampling
- Short Locally Testable Codes and Proofs
- Bravely, Moderately: A Common Theme in Four Recent Works
- On the Complexity of Computational Problems Regarding Distributions
- Basing Non-Interactive Zero-Knowledge on (Enhanced) Trapdoor Permutations: The State of the Art
- Average Case Complexity, Revisited
- Basic Facts about Expander Graphs
- A Brief Introduction to Property Testin
- Introduction to Testing Graph Properties
- Randomness and Computation
- Programmatic and Reflective Articles
- On Security Preserving Reductions - Revised Terminology
- Contemplations on Testing Graph Properties
- Another Motivation for Reducing the Randomness Complexity of Algorithms
- About the Authors />- Surveys
- Notes on Levin's Theory of Average-Case Complexity
- Three XOR-Lemmas - An Exposition
- On Yao's XOR-Lemma
- A Sample of Samplers: A Computational Perspective on Sampling
- Short Locally Testable Codes and Proofs
- Bravely, Moderately: A Common Theme in Four Recent Works
- On the Complexity of Computational Problems Regarding Distributions
- Basing Non-Interactive Zero-Knowledge on (Enhanced) Trapdoor Permutations: The State of the Art
- Average Case Complexi
... weniger
Bibliographische Angaben
- 2011, XII, 564 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Herausgegeben: Oded Goldreich
- Verlag: Springer, Berlin
- ISBN-10: 3642226698
- ISBN-13: 9783642226694
Sprache:
Englisch
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