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Studies in Complexity and Cryptography Miscellanea on the Interplay between Randomness and Computation /

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 These so far formally unpublished pieces were written by Oded Gold...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Goldreich, Oded (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Theoretical Computer Science and General Issues, 6650
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.- From 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 Testing.- 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. .