Title :

Formal security proofs with minimal fuss: Implicit computational complexity at work

Author(s) :

Nowak, David [Auteur]
Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 [CRIStAL]
Extra Small Extra Safe [2XS]
Zhang, Yu [Auteur]
State Key Laboratory of Computer Science [Beijing] [LCS]

Journal title :

Information and Computation

Pages :

96-113

Publisher :

Elsevier

Publication date :

2015-04

ISSN :

0890-5401

English keyword(s) :

lambda-calculus
safe recursion
probabilistic computation
cryptography

HAL domain(s) :

Informatique [cs]/Logique en informatique [cs.LO]
Informatique [cs]/Complexité [cs.CC]
Informatique [cs]/Cryptographie et sécurité [cs.CR]
Informatique [cs]/Langage de programmation [cs.PL]

English abstract : [en]

We show how implicit computational complexity can be used in order to increase confidence in game-based security proofs in cryptography. For this purpose we extend CSLR, a probabilistic lambda-calculus with a type system ...
Show more >We show how implicit computational complexity can be used in order to increase confidence in game-based security proofs in cryptography. For this purpose we extend CSLR, a probabilistic lambda-calculus with a type system that guarantees the existence of a probabilistic polynomial-time bound on computations. This allows us to define cryptographic constructions, feasible adversaries, security notions, computational assumptions, game transformations, and game-based security proofs in a unified framework. We also show that the standard practice of cryptographers, ignoring that polynomial-time Turing machines cannot generate all uniform distributions, is actually sound. We illustrate our calculus on cryptographic constructions for public-key encryption and pseudorandom bit generation.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL