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Benoit Viguier
coq-verif-tweetnacl
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e4acd36b
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e4acd36b
authored
Oct 01, 2019
by
Peter Schwabe
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Minor tweaks to the abstract.
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% \subsection*{Abstract}
\begin{abstract}
We formally prove that the C implementation of
the X25519 key-exchange protocol
in the TweetNaCl library is correct.
We prove both that it correctly implements the protocol from
Bernstein's 2006 paper, as standardized in RFC~7748,
well as the absence of undefined behavior
like arithmetic overflows
and array out of bound errors.
We also formally prove, based on the work of Bartzia and Strub,
that X25519 is mathematically correct, i.e.,
that it correctly computes scalar multiplication on
the elliptic curve Curve25519.
We formally prove that the C implementation of
the X25519 key exchange protocol
in the TweetNaCl library is correct.
We prove both that it correctly implements the protocol from
Bernstein's 2006 paper, as standardized in RFC 7748,
as well that there are no undefined behaviors
like arithmetic overflows
and array out of bound errors.
We also formally prove, based on the work of Bartzia and Strub,
that X25519 is mathematically correct
in that it correctly computes multiplication in the elliptic curve
Curve25519.
The proofs are all computer-verified using the Coq theorem prover.
To establish the link between C and Coq we use the
Verified Software Toolchain (VST).
The proofs are all computer-verified using the Coq theorem prover.
To establish the link between C and Coq we use the
Verified Software Toolchain (VST).
\end{abstract}
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