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A Calculus for Game-Based Security Proofs

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Provable Security (ProvSec 2010)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 6402))

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Abstract

The game-based approach to security proofs in cryptography is a widely-used methodology for writing proofs rigorously. However a unifying language for writing games is still missing. In this paper we show how CSLR, a probabilistic lambda-calculus with a type system that guarantees that computations are probabilistic polynomial time, can be equipped with a notion of game indistinguishability. This allows us to define cryptographic constructions, effective adversaries, security notions, computational assumptions, game transformations, and game-based security proofs in the unified framework provided by CSLR. Our code for cryptographic constructions is close to implementation in the sense that we do not assume arbitrary uniform distributions but use a realistic algorithm to approximate them. We illustrate our calculus on cryptographic constructions for public-key encryption and pseudorandom bit generation.

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Author information

Authors and Affiliations

  1. Research Center for Information Security, AIST, Japan

    David Nowak

  2. Institute of Software, Chinese Academy of Sciences, China

    Yu Zhang

Authors
  1. David Nowak
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  2. Yu Zhang
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Editor information

Editors and Affiliations

  1. Faculty of Information Science and Technology, Jalan Ayer Keroh Lama, Multimedia University, 75450, Malacca, Malaysia

    Swee-Huay Heng

  2. Department of Computer and Information Sciences, Ibaraki University, 4-12-1 Nakanarusawa, 316-8511, Hitachi, Ibaraki, Japan

    Kaoru Kurosawa

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Nowak, D., Zhang, Y. (2010). A Calculus for Game-Based Security Proofs. In: Heng, SH., Kurosawa, K. (eds) Provable Security. ProvSec 2010. Lecture Notes in Computer Science, vol 6402. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16280-0_3

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  • DOI: https://doi.org/10.1007/978-3-642-16280-0_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16279-4

  • Online ISBN: 978-3-642-16280-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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