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Title:
Cryptography Experiments In Lean 4: SHA-3 Implementation
Authors: Gérald Doussot
Abstract:In this paper we explain how we implemented the Secure Hash Algorithm-3 (SHA-3) family of functions in Lean 4, a functional programming language and theorem prover. We describe how we used several Lean facilities including type classes, dependent types, macros, and formal verification, and then refined the design to provide a simple one-shot and streaming API for hashing, and Extendable-output functions (XOFs), to reduce potential for misuse by users, and formally prove properties about the implementation.
ePrint: https://eprint.iacr.org/2024/1880
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