Skip to main content

Part of the book series: Algorithms and Combinatorics ((AC,volume 17))

Summary

Various types of probabilistic proof systems have played a central role in the development of computer science in the last decade. In this chapter, we concentrate on three such proof systems — interactive proofs, zero-knowledge proofs, and probabilistic checkable proofs — stressing the essential role of randomness in each of them.

A proof is whatever convinces me.

Shimon Even, answering a student’s question in his Graph Algorithms class (1978)

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 139.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Goldreich, O. (1999). Probabilistic Proof Systems. In: Modern Cryptography, Probabilistic Proofs and Pseudorandomness. Algorithms and Combinatorics, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12521-2_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-12521-2_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08432-4

  • Online ISBN: 978-3-662-12521-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics