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Computational Complexity and Property Testing

On the Interplay Between Randomness and Computation

  • State of the art research in Computational Complexity and Property Testing
  • Unique visibility
  • Contributions by well-known experts in the field

Part of the book series: Lecture Notes in Computer Science (LNCS, volume 12050)

Part of the book sub series: Theoretical Computer Science and General Issues (LNTCS)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-x
  2. A Probabilistic Error-Correcting Scheme that Provides Partial Secrecy

    • Scott Decatur, Oded Goldreich, Dana Ron
    Pages 1-8
  3. Super-Perfect Zero-Knowledge Proofs

    • Oded Goldreich, Liav Teichner
    Pages 119-140
  4. On Emulating Interactive Proofs with Public Coins

    • Oded Goldreich, Maya Leshkowitz
    Pages 178-198
  5. Deconstructing 1-Local Expanders

    • Oded Goldreich
    Pages 220-248
  6. Worst-Case to Average-Case Reductions for Subclasses of P

    • Oded Goldreich, Guy N. Rothblum
    Pages 249-295
  7. Constant-Round Interactive Proof Systems for AC0[2] and NC1

    • Oded Goldreich, Guy N. Rothblum
    Pages 326-351
  8. Flexible Models for Testing Graph Properties

    • Oded Goldreich
    Pages 352-362

About this book

This volume contains a collection of studies in the areas of complexity theory and property testing. The 21 pieces of scientific work included were conducted at different times, mostly during the last decade. Although most of these works have been cited in the literature, none of them was formally published before.

Within complexity theory the topics include constant-depth Boolean circuits, explicit construction of expander graphs, interactive proof systems, monotone formulae for majority, probabilistically checkable proofs (PCPs), pseudorandomness, worst-case to average-case reductions, and zero-knowledge proofs.

Within property testing the topics include distribution testing, linearity testing, lower bounds on the query complexity (of property testing), testing graph properties, and tolerant testing. A common theme in this collection is the interplay between randomness and computation.

Editors and Affiliations

  • Weizmann Institute of Science, Rehovot, Israel

    Oded Goldreich

Bibliographic Information

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access