Verified Correctness and Security of OpenSSL HMAC

Authors: 

Lennart Beringer, Princeton University; Adam Petcher, Harvard University and MIT Lincoln Laboratory; Katherine Q. Ye and Andrew W. Appel, Princeton University

Abstract: 

We have proved, with machine-checked proofs in Coq, that an OpenSSL implementation of HMAC with SHA- 256 correctly implements its FIPS functional specification and that its functional specification guarantees the expected cryptographic properties. This is the first machine-checked cryptographic proof that combines a source-program implementation proof, a compilercorrectness proof, and a cryptographic-security proof, with no gaps at the specification interfaces.

The verification was done using three systems within the Coq proof assistant: the Foundational Cryptography Framework, to verify crypto properties of functional specs; the Verified Software Toolchain, to verify C programs w.r.t. functional specs; and CompCert, for verified compilation of C to assembly language.

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