Implicit Computational Complexity of Subrecursive Definitions and Applications to Cryptographic Proofs (Long version) - Archive ouverte HAL
Rapport (Rapport De Recherche) Année : 2015

Implicit Computational Complexity of Subrecursive Definitions and Applications to Cryptographic Proofs (Long version)

Résumé

We define a call-by-value variant of Gödel 's System T with references, and equip it with a linear dependent type and effect system, called d that can estimate the complexity of programs, as a function of the size of their inputs. We prove that the type system is intentionally sound, in the sense that it over-approximates the complexity of executing the programs on a variant of the CEK abstract machine. Moreover, we define a sound and complete type inference algorithm which critically exploits the subrecursive nature of d Finally, we demonstrate the usefulness of d for analyzing the complexity of cryptographic reductions by providing an upper bound for the constructed adversary of the Goldreich-Levin theorem.
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Dates et versions

hal-01197456 , version 1 (11-09-2015)
hal-01197456 , version 2 (03-10-2016)
hal-01197456 , version 3 (06-12-2019)

Identifiants

  • HAL Id : hal-01197456 , version 1

Citer

Patrick Baillot, Gilles Barthe, Ugo Dal Lago. Implicit Computational Complexity of Subrecursive Definitions and Applications to Cryptographic Proofs (Long version). [Research Report] ENS Lyon. 2015. ⟨hal-01197456v1⟩
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