Automated Proofs of Pairing-Based Cryptography
Gilles Barthe, Benjamin Grégoire, Benedikt Schmidt
Abstract
Gilles Barthe, Benjamin Grégoire, Benedikt Schmidt
Abstract
Analyzing cryptographic constructions in the computational model, or simply verifying the correctness of security proofs, are complex and error-prone tasks. Although computer tools have significant potential to increase confidence in security proofs and to reduce the time for building these proofs, existing tools are either limited in scope, or can only be used by formal methods experts, and have a significant overhead. In effect, it has remained a challenge to design usable and intuitive tools for building and verifying cryptographic proofs, especially for more advanced fields such as pairing-based or lattice-based cryptography.
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Analyzing cryptographic constructions in the computational model, or simply verifying the correctness of security proofs, are complex and error-prone tasks. Although computer tools have significant potential to increase confidence in security proofs and to reduce the time for building these proofs, existing tools are either limited in scope, or can only be used by formal methods experts, and have a significant overhead. In effect, it has remained a challenge to design usable and intuitive tools for building and verifying cryptographic proofs, especially for more advanced fields such as pairing-based or lattice-based cryptography.
Key concepts: Mathematical proof, Correctness, Computer science, USable, Cryptography, Cryptographic primitive, Theoretical computer science, Cryptographic protocol