The constant-time programming discipline (CT) is an efficient countermeasure against timing side-channel attacks, requiring the control flow and the memory accesses to be independent from the secrets. Yet, writing CT code is challenging as it demands to reason about pairs of execution traces (2hypersafety property) and it is generally not preserved by the compiler, requiring binary-level analysis. Unfortunately, current verification tools for CT either reason at higher level (C or LLVM), or sacrifice bug-finding or bounded-verification, or do not scale. We tackle the problem of designing an efficient binary-level verification tool for CT providing both bug-finding and bounded-verification. The technique builds on relational symbolic execution enhanced with new optimizations dedicated to information flow and binary-level analysis, yielding a dramatic improvement over prior work based on symbolic execution. We implement a prototype, BINSEC/REL, and perform extensive experiments on a set of 338 cryptographic implementations, demonstrating the benefits of our approach in both bug-finding and bounded-verification. Using BINSEC/REL, we also automate a previous manual study of CT preservation by compilers. Interestingly, we discovered that gcc -O0 and backend passes of clang introduce violations of CT in implementations that were previously deemed secure by a state-of-the-art CT verification tool operating at LLVM level, showing the importance of reasoning at binary-level.1 Some versions of CT also require that the size of operands of variable-time instructions (e.g. integer division) is independent from secrets.

Spectre are microarchitectural attacks which were made public in January 2018. They allow an attacker to recover secrets by exploiting speculations. Detection of Spectre is particularly important for cryptographic libraries and defenses at the software level have been proposed. Yet, defenses correctness and Spectre detection pose challenges due on one hand to the explosion of the exploration space induced by speculative paths, and on the other hand to the introduction of new Spectre vulnerabilities at different compilation stages. We propose an optimization, coined Haunted RelSE, that allows scalable detection of Spectre vulnerabilities at binary level. We prove the optimization semantically correct w.r.t. the more naive explicit speculative exploration approach used in state-of-the-art tools. We implement Haunted RelSE in a symbolic analysis tool, and extensively test it on a wellknown litmus testset for Spectre-PHT, and on a new litmus testset for Spectre-STL, which we propose. Our technique finds more violations and scales better than state-of-the-art techniques and tools, analyzing real-world cryptographic libraries and finding new violations. Thanks to our tool, we discover that indexmasking-a standard defense for Spectre-PHT-and well-known gcc options to compile position independent executables introduce Spectre-STL violations. We propose and verify a correction to index-masking to avoid the problem. addresses the Store to Load (STL) variant (a.k.a Spectre-v4 [13]), which exploits the memory dependence predictor. Unfortunately, Pitchfork does not scale for analyzing Spectre-STL, even on small programs (cf. Table IV). Other variants are currently out-of-scope of static analyzers (see Sections II and VII). Goal and challenges. In this paper, we propose a novel technique to detect Spectre-PHT and Spectre-STL vulnerabilities and we implement it in a new static analyzer for binary code. Two challenges arise in the design of such an analyzer: C1 First, the details of the microarchitecture cannot be fully included in the analysis because they are not public in general and not easy to obtain. Yet the challenge is to find an abstraction powerful enough to capture side channels attacks due to microarchitectural state. C2 Second, exploration of all possible speculative executions does not scale because it quickly leads to state explosion. The challenge is how to optimize this exploration in order to make the analysis applicable to real code. Proposal. We tackle challenge C1 by targeting a relational security property coined in the literature as speculative constanttime [5], a property reminiscent of constant-time [14], widely used in cryptographic implementations. Speculative constanttime takes speculative executions into account without explicitly modeling intrincate microarchitectural details. However, it is well known that constant-time programming is not necessarily preserved by compilers [15], [16], so our analysis operates at binary level-besides, it is compiler-agnostic and does not require source code. For thi...