arXiv subjects

Sébastien Bardin

Publications and source records attributed to Sébastien Bardin.

At least 19 recordsLinked to original sources

arXiv2026

Hybrid Path-Sums for Hybrid Quantum Programs

As quantum computing becomes an emerging reality, designing efficient quantum programming capabilities is becoming more and more important. Particularly, the debugging and validation of quantum programs is of paramount importance, as these programs are by definition hard to test. Static analysis and formal verification methods for quantum programs started to emerge a few years now, yet they often miss hybrid quantum/classical reasoning facilities with, e.g., generic quantum control, classical control and classical computation instructions. In this paper, we lay out the foundations of a framework for the automated formal verification of (full) hybrid quantum programs featuring both classical and quantum control, measurement and hybrid data structures. In particular, we propose: (1) a novel symbolic representation for describing and manipulating sets of hybrid quantum/classical states called Hybrid Path-Sums (HPS); (2) a set of rewriting rules providing a rich mechanism for simplifying and reasoning on these symbolic hybrid states, and (3) a core assertion language to specify equivalence of hybrid quantum programs, the satisfaction of properties on (parts of) hybrid states, and the extraction of probabilistic statements about the program behavior. We prove the correctness of the novel symbolic representation, of its rewriting system and of the specification system. Finally, we propose a full implementation of this framework as a dedicated symbolic execution engine for hybrid programs. We present an evaluation of a set of representative hybrid case-studies from the literature, showcasing the advantage of our approach and its efficiency compared to state-of-the-art solutions.

cs.PL↗

arXiv2025

Quantum Circuit Equivalence Checking: A Tractable Bridge From Unitary to Hybrid Circuits

Equivalence checking of hybrid quantum circuits is of primary importance, given that quantum circuit transformations are omnipresent along the quantum compiler chain. While some approaches exist for automating this task, most focus on the simple case of unitary circuits. At the same time, real quantum computing requires hybrid circuits equipped with measurement operators. Moreover, the few approaches targeting the hybrid case are limited to a restricted class of problems. We propose tackling the Quantum Hybrid Circuit Equivalence Checking problem through lifting unitary circuit verification using a transformation known as deferred measurement. We show that this approach alone significantly outperforms prior work, and that, with the addition of specific unitary-level techniques we call separation and projection, it can handle much larger classes of hybrid circuit equivalence problems. We have implemented and evaluated our method over standard circuit transformations such as teleportation, one-way measurement, or the IBM Qiskit compiler, demonstrating its promises. As a side finding, we have identified and reported several unexpected behaviours with the Qiskit compiler.

quant-ph↗

arXiv2025

Attacker Control and Bug Prioritization

As bug-finding methods improve, bug-fixing capabilities are exceeded, resulting in an accumulation of potential vulnerabilities. There is thus a need for efficient and precise bug prioritization based on exploitability. In this work, we explore the notion of control of an attacker over a vulnerability's parameters, which is an often overlooked factor of exploitability. We show that taint as well as straightforward qualitative and quantitative notions of control are not enough to effectively differentiate vulnerabilities. Instead, we propose to focus analysis on feasible value sets, which we call domains of control, in order to better take into account threat models and expert insight. Our new Shrink and Split algorithm efficiently extracts domains of control from path constraints obtained with symbolic execution and renders them in an easily processed, human-readable form. This in turn allows to automatically compute more complex control metrics, such as weighted Quantitative Control, which factors in the varying threat levels of different values. Experiments show that our method is both efficient and precise. In particular, it is the only one able to distinguish between vulnerabilities such as cve-2019-14192 and cve-2022-30552, while revealing a mistake in the human evaluation of cve-2022-30790. The high degree of automation of our tool also brings us closer to a fully-automated evaluation pipeline.

cs.CR↗

arXiv2023

A Systematic Evaluation of Automated Tools for Side-Channel Vulnerabilities Detection in Cryptographic Libraries

To protect cryptographic implementations from side-channel vulnerabilities, developers must adopt constant-time programming practices. As these can be error-prone, many side-channel detection tools have been proposed. Despite this, such vulnerabilities are still manually found in cryptographic libraries. While a recent paper by Jancar et al. shows that developers rarely perform side-channel detection, it is unclear if existing detection tools could have found these vulnerabilities in the first place. To answer this question, we surveyed the literature to build a classification of 34 side-channel detection frameworks. The classification we offer compares multiple criteria, including the methods used, the scalability of the analysis or the threat model considered. We then built a unified common benchmark of representative cryptographic operations on a selection of 5 promising detection tools. This benchmark allows us to better compare the capabilities of each tool, and the scalability of their analysis. Additionally, we offer a classification of recently published side-channel vulnerabilities. We then test each of the selected tools on benchmarks reproducing a subset of these vulnerabilities as well as the context in which they appear. We find that existing tools can struggle to find vulnerabilities for a variety of reasons, mainly the lack of support for SIMD instructions, implicit flows, and internal secret generation. Based on our findings, we develop a set of recommendations for the research community and cryptographic library developers, with the goal to improve the effectiveness of side-channel detection tools.

cs.CR↗

arXiv2023

Scalable Program Clone Search Through Spectral Analysis

We consider the problem of program clone search, i.e. given a target program and a repository of known programs (all in executable format), the goal is to find the program in the repository most similar to the target program - with potential applications in terms of reverse engineering, program clustering, malware lineage and software theft detection. Recent years have witnessed a blooming in code similarity techniques, yet most of them focus on function-level similarity and function clone search, while we are interested in program-level similarity and program clone search. Actually, our study shows that prior similarity approaches are either too slow to handle large program repositories, or not precise enough, or yet not robust against slight variations introduced by compilers, source code versions or light obfuscations. We propose a novel spectral analysis method for program-level similarity and program clone search called Programs Spectral Similarity (PSS). In a nutshell, PSS one-time spectral feature extraction is tailored for large repositories, making it a perfect fit for program clone search. We have compared the different approaches with extensive benchmarks, showing that PSS reaches a sweet spot in terms of precision, speed and robustness.

cs.CR↗

arXiv2023

ProSpeCT: Provably Secure Speculation for the Constant-Time Policy (Extended version)

We propose ProSpeCT, a generic formal processor model providing provably secure speculation for the constant-time policy. For constant-time programs under a non-speculative semantics, ProSpeCT guarantees that speculative and out-of-order execution cause no microarchitectural leaks. This guarantee is achieved by tracking secrets in the processor pipeline and ensuring that they do not influence the microarchitectural state during speculative execution. Our formalization covers a broad class of speculation mechanisms, generalizing prior work. As a result, our security proof covers all known Spectre attacks, including load value injection (LVI) attacks. In addition to the formal model, we provide a prototype hardware implementation of ProSpeCT on a RISC-V processor and show evidence of its low impact on hardware cost, performance, and required software changes. In particular, the experimental evaluation confirms our expectation that for a compliant constant-time binary, enabling ProSpeCT incurs no performance overhead.

cs.CR↗

arXiv2022

A Quantitative Flavour of Robust Reachability

Many software analysis techniques attempt to determine whether bugs are reachable, but for security purpose this is only part of the story as it does not indicate whether the bugs found could be easily triggered by an attacker. The recently introduced notion of robust reachability aims at filling this gap by distinguishing the input controlled by the attacker from those that are not. Yet, this qualitative notion may be too strong in practice, leaving apart bugs which are mostly but not fully replicable. We aim here at proposing a quantitative version of robust reachability, more flexible and still amenable to automation. We propose quantitative robustness, a metric expressing how easily an attacker can trigger a bug while taking into account that he can only influence part of the program input, together with a dedicated quantitative symbolic execution technique (QRSE). Interestingly, QRSE relies on a variant of model counting (namely, functional E-MAJSAT) unseen so far in formal verification, but which has been studied in AI domains such as Bayesian network, knowledge representation and probabilistic planning. Yet, the existing solving methods from these fields turn out to be unsatisfactory for formal verification purpose, leading us to propose a novel parametric method. These results have been implemented and evaluated over two security-relevant case studies, allowing to demonstrate the feasibility and relevance of our ideas.

cs.PL↗

arXiv2022

Binsec/Rel: Symbolic Binary Analyzer for Security with Applications to Constant-Time and Secret-Erasure

This paper tackles the problem of designing efficient binary-level verification for a subset of information flow properties encompassing constant-time and secret-erasure. These properties are crucial for cryptographic implementations, but are generally not preserved by compilers. Our proposal 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, for bug-finding and bounded-verification of constant-time and secret-erasure, and perform extensive experiments on a set of 338 cryptographic implementations, demonstrating the benefits of our approach. Using Binsec/Rel, we also automate two prior manual studies on preservation of constant-time and secret-erasure by compilers for a total of 4148 and 1156 binaries respectively. Interestingly, our analysis highlights incorrect usages of volatile data pointer for secret erasure and shows that scrubbing mechanisms based on volatile function pointers can introduce additional register spilling which might break secret-erasure. We also discovered that gcc -O0 and backend passes of clang introduce violations of constant-time in implementations that were previously deemed secure by a state-of-the-art constant-time verification tool operating at LLVM level, showing the importance of reasoning at binary-level.

cs.CR↗

arXiv2022

Formal Methods for Quantum Programs: A Survey

While recent progress in quantum hardware open the door for significant speedup in certain key areas (cryptography, biology, chemistry, optimization, machine learning, etc), quantum algorithms are still hard to implement right, and the validation of such quantum programs is achallenge. Moreover, importing the testing and debugging practices at use in classical programming is extremely difficult in the quantum case, due to the destructive aspect of quantum measurement. As an alternative strategy, formal methods are prone to play a decisive role in the emerging field of quantum software. Recent works initiate solutions for problems occurring at every stage of the development process: high-level program design, implementation, compilation, etc. We review the induced challenges for an efficient use of formal methods in quantum computing and the current most promising research directions.

cs.PL↗

arXiv2021

No Crash, No Exploit: Automated Verification of Embedded Kernels

The kernel is the most safety- and security-critical component of many computer systems, as the most severe bugs lead to complete system crash or exploit. It is thus desirable to guarantee that a kernel is free from these bugs using formal methods, but the high cost and expertise required to do so are deterrent to wide applicability. We propose a method that can verify both absence of runtime errors (i.e. crashes) and absence of privilege escalation (i.e. exploits) in embedded kernels from their binary executables. The method can verify the kernel runtime independently from the application, at the expense of only a few lines of simple annotations. When given a specific application, the method can verify simple kernels without any human intervention. We demonstrate our method on two different use cases: we use our tool to help the development of a new embedded real-time kernel, and we verify an existing industrial real-time kernel executable with no modification. Results show that the method is fast, simple to use, and can prevent real errors and security vulnerabilities.

cs.CR↗

arXiv2021

Interface Compliance of Inline Assembly: Automatically Check, Patch and Refine

Inline assembly is still a common practice in low-level C programming, typically for efficiency reasons or for accessing specific hardware resources. Such embedded assembly codes in the GNU syntax (supported by major compilers such as GCC, Clang and ICC) have an interface specifying how the assembly codes interact with the C environment. For simplicity reasons, the compiler treats GNU inline assembly codes as blackboxes and relies only on their interface to correctly glue them into the compiled C code. Therefore, the adequacy between the assembly chunk and its interface (named compliance) is of primary importance, as such compliance issues can lead to subtle and hard-to-find bugs. We propose RUSTInA, the first automated technique for formally checking inline assembly compliance, with the extra ability to propose (proven) patches and (optimization) refinements in certain cases. RUSTInA is based on an original formalization of the inline assembly compliance problem together with novel dedicated algorithms. Our prototype has been evaluated on 202 Debian packages with inline assembly (2656 chunks), finding 2183 issues in 85 packages -- 986 significant issues in 54 packages (including major projects such as ffmpeg or ALSA), and proposing patches for 92% of them. Currently, 38 patches have already been accepted (solving 156 significant issues), with positive feedback from development teams.

cs.PL↗

arXiv2021

AI-based Blackbox Code Deobfuscation: Understand, Improve and Mitigate

Code obfuscation aims at protecting Intellectual Property and other secrets embedded into software from being retrieved. Recent works leverage advances in artificial intelligence with the hope of getting blackbox deobfuscators completely immune to standard (whitebox) protection mechanisms. While promising, this new field of AI-based blackbox deobfuscation is still in its infancy. In this article we deepen the state of AI-based blackbox deobfuscation in three key directions: understand the current state-of-the-art, improve over it and design dedicated protection mechanisms. In particular, we define a novel generic framework for AI-based blackbox deobfuscation encompassing prior work and highlighting key components; we are the first to point out that the search space underlying code deobfuscation is too unstable for simulation-based methods (e.g., Monte Carlo Tres Search used in prior work) and advocate the use of robust methods such as S-metaheuritics; we propose the new optimized AI-based blackbox deobfuscator Xyntia which significantly outperforms prior work in terms of success rate (especially with small time budget) while being completely immune to the most recent anti-analysis code obfuscation methods; and finally we propose two novel protections against AI-based blackbox deobfuscation, allowing to counter Xyntia's powerful attacks.

cs.CR↗

arXiv2020

Binary-level Directed Fuzzing for Use-After-Free Vulnerabilities

Directed fuzzing focuses on automatically testing specific parts of the code by taking advantage of additional information such as (partial) bug stack trace, patches or risky operations. Key applications include bug reproduction, patch testing and static analysis report verification. Although directed fuzzing has received a lot of attention recently, hard-to-detect vulnerabilities such as Use-After-Free (UAF) are still not well addressed, especially at the binary level. We propose UAFuzz, the first (binary-level) directed greybox fuzzer dedicated to UAF bugs. The technique features a fuzzing engine tailored to UAF specifics, a lightweight code instrumentation and an efficient bug triage step. Experimental evaluation for bug reproduction on real cases demonstrates that UAFuzz significantly outperforms state-of-the-art directed fuzzers in terms of fault detection rate, time to exposure and bug triaging. UAFuzz has also been proven effective in patch testing, leading to the discovery of 30 new bugs (7 CVEs) in programs such as Perl, GPAC and GNU Patch. Finally, we provide to the community a large fuzzing benchmark dedicated to UAF, built on both real codes and real bugs.

cs.CR↗

arXiv2020

A Deductive Verification Framework for Circuit-building Quantum Programs

While recent progress in quantum hardware open the door for significant speedup in certain key areas, quantum algorithms are still hard to implement right, and the validation of such quantum programs is a challenge. Early attempts either suffer from the lack of automation or parametrized reasoning, or target high-level abstract algorithm description languages far from the current de facto consensus of circuit-building quantum programming languages. As a consequence, no significant quantum algorithm implementation has been currently verified in a scale-invariant manner. We propose Qbricks, the first formal verification environment for circuit-building quantum programs, featuring clear separation between code and proof, parametric specifications and proofs, high degree of proof automation and allowing to encode quantum programs in a natural way, i.e. close to textbook style. Qbricks builds on best practice of formal verification for the classical case and tailor them to the quantum case: we bring a new domain-specific circuit-building language for quantum programs, namely Qbricks-DSL, together with a new logical specification language Qbricks-Spec and a dedicated Hoare-style deductive verification rule named Hybrid Quantum Hoare Logic. Especially, we introduce and intensively build upon HOPS, a higher-order extension of the recent path-sum symbolic representation, used for both specification and automation. To illustrate the opportunity of Qbricks, we implement the first verified parametric implementations of several famous and non-trivial quantum algorithms, including the quantum part of Shor integer factoring (Order Finding - Shor-OF), quantum phase estimation (QPE) - a basic building block of many quantum algorithms, and Grover search. These breakthroughs were amply facilitated by the specification and automated deduction principles introduced within Qbricks.

cs.PL↗

arXiv2020

Binsec/Rel: Efficient Relational Symbolic Execution for Constant-Time at Binary-Level

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 (2- hypersafety 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.

cs.CR↗

arXiv2020

Automatically Proving Microkernels Free from Privilege Escalation from their Executable

Operating system kernels are the security keystone of most computer systems, as they provide the core protection mechanisms. Kernels are in particular responsible for their own security, i.e. they must prevent untrusted user tasks from reaching their level of privilege. We demonstrate that proving such absence of privilege escalation is a pre-requisite for any definitive security proof of the kernel. While prior OS kernel formal verifications were performed either on source code or crafted kernels, with manual or semi-automated methods requiring significant human efforts in annotations or proofs, we show that it is possible to compute such kernel security proofs using fully-automated methods and starting from the executable code of an existing microkernel with no modification, thus formally verifying absence of privilege escalation with high confidence for a low cost. We applied our method on two embedded microkernels, including the industrial kernel AnonymOS: with only 58 lines of annotation and less than 10 minutes of computation, our method finds a vulnerability in a first (buggy) version of AnonymOS and verifies absence of privilege escalation in a second (secure) version.

cs.CR↗

arXiv2019

Get rid of inline assembly through verification-oriented lifting

Formal methods for software development have made great strides in the last two decades, to the point that their application in safety-critical embedded software is an undeniable success. Their extension to non-critical software is one of the notable forthcoming challenges. For example, C programmers regularly use inline assembly for low-level optimizations and system primitives. This usually results in driving state-of-the-art formal analyzers developed for C ineffective. We thus propose TInA, an automated, generic, trustable and verification-oriented lifting technique turning inline assembly into semantically equivalent C code, in order to take advantage of existing C analyzers. Extensive experiments on real-world C code with inline assembly (including GMP and ffmpeg) show the feasibility and benefits of TInA.

cs.PL↗

arXiv2019

How to Kill Symbolic Deobfuscation for Free; or Unleashing the Potential of Path-Oriented Protections

Code obfuscation is a major tool for protecting software intellectual property from attacks such as reverse engineering or code tampering. Yet, recently proposed (automated) attacks based on Dynamic Symbolic Execution (DSE) shows very promising results, hence threatening software integrity. Current defenses are not fully satisfactory, being either not efficient against symbolic reasoning, or affecting runtime performance too much, or being too easy to spot. We present and study a new class of anti-DSE protections coined as path-oriented protections targeting the weakest spot of DSE, namely path exploration. We propose a lightweight, efficient, resistant and analytically proved class of obfuscation algorithms designed to hinder DSE-based attacks. Extensive evaluation demonstrates that these approaches critically counter symbolic deobfuscation while yielding only a very slight overhead.

cs.CR↗