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Benoit Viguier
coqveriftweetnacl
Commits
054d33a2
Commit
054d33a2
authored
Oct 01, 2020
by
benoit
Browse files
add section lesson learned
parent
68f0e50f
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2
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paper/Makefile
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054d33a2
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@@ 34,3 +34,8 @@ clean:

rm
tweetverif.blg

rm
tweetverif.brf
make
C
csfsupplementary clean
spell
:
@
for
f
in
$(SOURCES)
;
do
\
aspell
t
c
$$
f
;
\
done
paper/conclusion.tex
View file @
054d33a2
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@@ 12,42 +12,42 @@ proving an inconsistency.
In our case we rely on:
\begin{itemize}
\item
\textbf
{
Calculus of Inductive Constructions
}
. The intuitionistic logic
used by Coq must be consistent in order to trust the proofs. As an axiom,
we assume that the functional extensionality is also consistent with that logic.
$$
\forall
x, f
(
x
)
=
g
(
x
)
\implies
f
=
g
$$
\begin{lstlisting}
[language=Coq,belowskip=0.25
\baselineskip
]
used by Coq must be consistent in order to trust the proofs. As an axiom,
we assume that the functional extensionality is also consistent with that logic.
$$
\forall
x, f
(
x
)
=
g
(
x
)
\implies
f
=
g
$$
\begin{lstlisting}
[language=Coq,belowskip=0.25
\baselineskip
]
Lemma f
_
ext: forall (A B:Type),
forall (f g: A > B),
(forall x, f(x) = g(x)) > f = g.
\end{lstlisting}
\item
\textbf
{
Verifiable Software Toolchain
}
. This framework developed at
Princeton allows a user to prove that a Clight code matches pure Coq
specification.
Princeton allows a user to prove that a Clight code matches pure Coq
specification.
\item
\textbf
{
CompCert
}
. When compiling with CompCert we only need to trust
CompCert's
{
assembly
}
semantics, as the compilation chain has been formally proven correct.
However, when compiling with other C compilers like Clang or GCC, we need to
trust that the CompCert's Clight semantics matches the C17 standard.
CompCert's
{
assembly
}
semantics, as the compilation chain has been formally proven correct.
However, when compiling with other C compilers like Clang or GCC, we need to
trust that the CompCert's Clight semantics matches the C17 standard.
\item
\textbf
{
\texttt
{
clightgen
}}
. The tool making the translation from
{
C
}
to
{
Clight
}
, the first step of the CompCert compilation.
VST does not support the direct verification of
\texttt
{
o[i] = a[i] + b[i]
}
.
This needs to be rewritten into:
\begin{lstlisting}
[language=Ctweetnacl,stepnumber=0,belowskip=0.5
\baselineskip
]
{
Clight
}
, the first step of the CompCert compilation.
VST does not support the direct verification of
\texttt
{
o[i] = a[i] + b[i]
}
.
This needs to be rewritten into:
\begin{lstlisting}
[language=Ctweetnacl,stepnumber=0,belowskip=0.5
\baselineskip
]
aux1 = a[i]; aux2 = b[i];
o[i] = aux1 + aux2;
\end{lstlisting}
The
\texttt
{
normalize
}
flag is taking care of this
rewriting and factors out assignments from inside subexpressions.
% The trust of the proof relies on a correct translation from the
% initial version of \emph{TweetNaCl} to \emph{TweetNaClVerifiableC}.
% The changes required for C code to make it verifiable are now minimal.
The
\texttt
{
normalize
}
flag is taking care of this
rewriting and factors out assignments from inside subexpressions.
% The trust of the proof relies on a correct translation from the
% initial version of \emph{TweetNaCl} to \emph{TweetNaClVerifiableC}.
% The changes required for C code to make it verifiable are now minimal.
\item
Finally, we must trust the
\textbf
{
Coq kernel
}
and its
associated libraries; the
\textbf
{
Ocaml compiler
}
on which we compiled Coq;
the
\textbf
{
Ocaml Runtime
}
and the
\textbf
{
CPU
}
. Those are common to all proofs
done with this architecture
\cite
{
2015Appel,coqfaq
}
.
associated libraries; the
\textbf
{
Ocaml compiler
}
on which we compiled Coq;
the
\textbf
{
Ocaml Runtime
}
and the
\textbf
{
CPU
}
. Those are common to all proofs
done with this architecture
\cite
{
2015Appel,coqfaq
}
.
\end{itemize}
\subheading
{
Corrections in TweetNaCl.
}
...
...
@@ 91,8 +91,25 @@ above will soon be integrated in a new version of the library.
% As a result we do not believe the metric personmonth to be
% a good representation of the verification effort.
\subheading
{
Lessons learned.
}
\todo
{
Write something about VST etc.
}
\subheading
{
Lessons learned.
}
The effort to verify an existing code base is
significantly harder than synthesizing a proven by construction piece of software.
This difficulty is additionally increased by not having the freedom to modify
the original code, and by the lowlevel optimization applied in it.
This often requires to write functions that mimic the behavior of the C
code before proving multilevel equivalences to reach the desired level of specifications.
VST provides on one hand a large set of lemmas, and on the second hand tactics to use them.
If a lemma is directly applied, it generates a multiple subgoals with a large set of dependent existential variables.
The tactics provided try to resolve those, and aim to simplify the workload of its user.
In an ideal world, the user does not need to know the lemmas applied under the hood and can just rely on those tactics.
Unfortunately, there were instances where those were not helping
% (\eg applying unnecessary substitutions, unfolding, exploding the size of our current goal; or simply failing),
at such moment, it was necessary to look into the VST code base and search for the right lemma.
Furthermore, the VST being an academic software, it is very hard to work with a tool
without being involved in the development loop. Additionally newer versions often broke
some of our proofs and it was often needed to adapt to the changes. That being said,
as we reported our bugs and struggles to the development team, the toolchain improved a lot.
\subheading
{
Extending our work.
}
The highlevel definition (
\sref
{
sec:maths
}
) can easily be ported to any
...
...
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