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Testing is the primary approach for detecting software defects. A major challenge faced by testers lies in crafting efficient test suites, able to detect a maximum number of bugs with manageable effort. To do so, they rely on coverage…

Software Engineering · Computer Science 2018-02-07 Michaël Marcozzi , Sébastien Bardin , Nikolai Kosmatov , Mike Papadakis , Virgile Prevosto , Loïc Correnson

Optimization is used extensively in engineering, industry, and finance, and various methods are used to transform problems to the point where they are amenable to solution by numerical methods. We describe progress towards developing a…

Optimization and Control · Mathematics 2021-11-15 Alexander Bentkamp , Jeremy Avigad

In various provers and deductive verification tools, logical transformations are used extensively in order to reduce a proof task into a number of simpler tasks. Logical transformations are often part of the trusted base of such tools. In…

Logic in Computer Science · Computer Science 2021-07-07 Quentin Garchery

Constrained Horn Clauses (CHCs) have conventionally been used as a low-level representation in formal verification. Most existing solvers use a diverse set of specialized techniques, including direct state space traversal or…

Logic in Computer Science · Computer Science 2024-04-24 Márk Somorjai , Mihály Dobos-Kovács , Zsófia Ádám , Levente Bajczi , András Vörös

Recent frontier large language models (LLMs) have shown strong performance in identifying security vulnerabilities in large, mature open-source systems. As LLM-generated code becomes increasingly common, a natural goal is to prevent such…

Software Engineering · Computer Science 2026-05-13 Zhaorui Li , Chengyu Song

Program reductions are used widely to simplify reasoning about the correctness of concurrent and distributed programs. In this paper, we propose a general approach to proof simplification of concurrent programs based on exploring generic…

Programming Languages · Computer Science 2019-11-01 Azadeh Farzan , Anthony Vandikas

The problem of mechanically formalizing and proving metatheoretic properties of programming language calculi, type systems, operational semantics, and related formal systems has received considerable attention recently. However, the dual…

Programming Languages · Computer Science 2017-05-29 James Cheney , Alberto Momigliano

Software testing uses wide range of different tools to enhance the complicated process of defining quality of the system under test. Formal Concept Analysis (FCA) provides us with algorithms of deriving formal ontology from a set of objects…

Software Engineering · Computer Science 2015-05-07 Fedor Strok

Supercompilation is a powerful program transformation technique with numerous interesting applications. Existing methods of supercompilation, however, are often very unpredictable with respect to the size of the resulting programs. We…

Programming Languages · Computer Science 2020-08-12 Dimitur Nikolaev Krustev

Model checking temporal properties of software is algorithmically hard. To be practically feasible, it usually requires the creation of simpler, abstract models of the software, over which the properties are checked. However, creating…

Formal Languages and Automata Theory · Computer Science 2025-03-17 Jesper Amilon , Dilian Gurov

Compilers can specialize programs having invariants for performance improvement. Detecting program invariants that span large and complex code, however, is difficult for compilers. Traditional compilers do not perform very expensive…

Programming Languages · Computer Science 2019-07-01 Wei He

We explore the possibility of accelerating the formal verification of classical programs with a quantum computer. A common source of security flaws stems from the existence of common programming errors like use after free, null-pointer…

Quantum Physics · Physics 2026-05-06 Sebastian Issel , Kilian Tscharke , Pascal Debus

Increased demands in the field of scientific computation require that algorithms be more efficiently implemented. Maintaining correctness in addition to efficiency is a challenge that software engineers in the field have to face. In this…

Software Engineering · Computer Science 2018-02-15 Bernhard Beckert , Britta Nestler , Moritz Kiefer , Michael Selzer , Mattias Ulbrich

We present twenty-five C programs, as a benchmark for C program verification using formal methods. This benchmark can be used for system demonstration, for comparison of verification effort between systems, and as a friendly competition.…

Context: The complexity of modern safety-critical systems in industries keep on increasing due to the rising number of features and functionalities. This calls for formal methods in order to entrust confidence in such systems. Nevertheless,…

Software Engineering · Computer Science 2021-08-17 Arut Prakash Kaleeswaran , Arne Nordmann , Thomas Vogel , Lars Grunske

Over the past 27 years, quantum computing has seen a huge rise in interest from both academia and industry. At the current rate, quantum computers are growing in size rapidly backed up by the increase of research in the field. Significant…

Logic in Computer Science · Computer Science 2024-02-15 Marco Lewis , Sadegh Soudjani , Paolo Zuliani

Large Language Models (LLMs) have demonstrated formidable capabilities in solving mathematical problems, yet they may still commit logical reasoning and computational errors during the problem-solving process. Thus, this paper proposes a…

Artificial Intelligence · Computer Science 2025-05-28 Kuo Zhou , Lu Zhang

For all the successes in verifying low-level, efficient, security-critical code, little has been said or studied about the structure, architecture and engineering of such large-scale proof developments. We present the design, implementation…

Programming Languages · Computer Science 2023-07-10 Son Ho , Aymeric Fromherz , Jonathan Protzenko

Automatic software verification tools help to find hard-to-detect faults in programs checked against specified requirements non-interactively. Besides, they can prove program correctness formally under certain assumptions. These…

Software Engineering · Computer Science 2023-09-29 Ilja Zakharov , Evgeny Novikov , Ilya Shchepetkov

Test or prove? These two approaches to software verification have long been presented as opposites. One is dynamic, the other static: a test executes the program, a proof only analyzes the program text. A different perspective is emerging,…

Software Engineering · Computer Science 2026-02-10 Li Huang , Bertrand Meyer , Manuel Oriol