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The Linux kernel is a critical system, serving as the foundation for numerous systems. Bugs in the Linux kernel can cause serious consequences, affecting billions of users. Fault localization (FL), which aims at identifying the buggy code…

Artificial Intelligence · Computer Science 2025-05-27 Zhenhao Zhou , Zhuochen Huang , Yike He , Chong Wang , Jiajun Wang , Yijian Wu , Xin Peng , Yiling Lou

Verification of modern microprocessors is a complex task that requires a substantial allocation of resources. Despite significant progress in formal verification, the goal of complete verification of an industrial design has not been…

Logic in Computer Science · Computer Science 2019-12-24 Shilpi Goel , Anna Slobodova , Rob Sumners , Sol Swords

The widespread adoption of large language models (LLMs) has made GPU-accelerated inference a critical part of modern computing infrastructure. Production inference systems rely on CUDA kernels to implement core transformer operations, yet…

Programming Languages · Computer Science 2026-03-27 Mengting He , Shihao Xia , Haomin Jia , Wenfei Wu , Linhai Song

Function-level binary code similarity detection is a crucial aspect of cybersecurity. It enables the detection of bugs and patent infringements in released software and plays a pivotal role in preventing supply chain attacks. A practical…

Cryptography and Security · Computer Science 2023-12-27 Sun RuiJin , Guo Shize , Guo Jinhong , Li Wei , Zhan Dazhi , Sun Meng , Pan Zhisong

Debugging CUDA programs has long been challenging because failures often arise from subtle interactions among hardware behavior, compiler decisions, memory hierarchy, and asynchronous execution. More importantly, with the rapid expansion of…

Machine Learning · Computer Science 2026-05-27 Shiyang Li , Haoyang Chen , Mattia Fazzini , Caiwen Ding

We introduce a similarity function on formulae of signal temporal logic (STL). It comes in the form of a kernel function, well known in machine learning as a conceptually and computationally efficient tool. The corresponding kernel trick…

Logic in Computer Science · Computer Science 2022-01-26 Luca Bortolussi , Giuseppe Maria Gallo , Jan Křetínský , Laura Nenzi

Configuring the Linux kernel to meet specific requirements, such as binary size, is highly challenging due to its immense complexity-with over 15,000 interdependent options evolving rapidly across different versions. Although several…

Software Engineering · Computer Science 2025-05-14 Heraldo Borges , Juliana Alves Pereira , Djamel Eddine Khelladi , Mathieu Acher

Most existing implementations of multiple precision arithmetic demand that the user sets the precision {\em a priori}. Some libraries are said adaptable in the sense that they dynamically change the precision of each intermediate operation…

Mathematical Software · Computer Science 2007-05-23 Sylvie Boldo , Marc Daumas , Claire Moreau-Finot , Laurent Thery

Ensuring correctness is a pivotal aspect of software engineering. Among the various strategies available, software verification offers a definitive assurance of correctness. Nevertheless, writing verification proofs is resource-intensive…

Software Engineering · Computer Science 2024-06-06 Lichen Zhang , Shuai Lu , Nan Duan

This paper presents Deepchecks, a Python library for comprehensively validating machine learning models and data. Our goal is to provide an easy-to-use library comprising of many checks related to various types of issues, such as model…

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…

Cryptography and Security · Computer Science 2021-05-25 Olivier Nicole , Matthieu Lemerre , Sébastien Bardin , Xavier Rival

Artificial intelligence systems have achieved remarkable capability in natural language processing, perception and decision-making tasks. However, their behaviour often remains opaque and difficult to verify, limiting their applicability in…

Software Engineering · Computer Science 2026-04-15 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

Every ML kernel ships with an implicit contract about what it computes. People rarely write the contract down. When two kernels disagree -- when a matmul on AMD produces a different gradient than the same matmul on NVIDIA, when a fused…

Machine Learning · Computer Science 2026-04-27 Cooper Veit

This paper presents a novel approach to automatically verify properties of pure data-parallel programs with non-linear indexing -- expressed as pre- and post-conditions on functions. Programs consist of nests of second-order array…

Programming Languages · Computer Science 2025-07-01 Nikolaj Hey Hinnerskov , Robert Schenck , Cosmin E. Oancea

This short paper gives a model for and a proof of completeness of the NRB verification logic for deterministic imperative programs, the logic having been used in the past as the basis for automated semantic checks of large, fast-changing,…

Logic in Computer Science · Computer Science 2018-09-06 Peter T. Breuer , Simon J. Pickin

We consider the problem of verification modulo tested library contracts as a step towards automating the verification of client programs that use complex libraries. We formulate this problem as the synthesis of modular contracts for the…

Programming Languages · Computer Science 2026-05-11 Abhishek Uppar , Omar Muhammad , Sumanth Prabhu , Deepak D'Souza , Madhusudan P , Adithya Murali

Abstract interpreters are complex pieces of software: even if the abstract interpretation theory and companion algorithms are well understood, their implementations are subject to bugs, that might question the soundness of their…

Programming Languages · Computer Science 2021-10-19 Lucas Franceschino , David Pichardie , Jean-Pierre Talpin

Among formal methods, the deductive verification approach allows establishing the strongest possible formal guarantees on critical software. The downside is the cost in terms of human effort required to design adequate formal specifications…

Software Engineering · Computer Science 2018-11-28 Sylvain Dailler , Claude Marché , Yannick Moy

Dynamic analysis, through rehosting, is an important capability for security assessment in embedded systems software. Existing rehosting techniques aim to provide high-fidelity execution by accurately emulating hardware and peripheral…

Large Language Models (LLMs) show promise in automated software engineering, yet their guarantee of correctness is frequently undermined by erroneous or hallucinated code. To enforce model honesty, formal verification requires LLMs to…

Software Engineering · Computer Science 2026-04-27 Md Erfan , Md Kamal Hossain Chowdhury , Ahmed Ryan , Md Rayhanur Rahman