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The technology of formal software verification has made spectacular advances, but how much does it actually benefit the development of practical software? Considerable disagreement remains about the practicality of building systems with…

Software Engineering · Computer Science 2026-01-21 Li Huang , Sophie Ebersold , Alexander Kogtenkov , Bertrand Meyer , Yinling Liu

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

Formal verification of software is a bit of a niche activity: it is only applied to the most safety-critical or security-critical software and it is typically only performed by specialized verification engineers. This paper considers…

Logic in Computer Science · Computer Science 2020-11-02 Alastair Reid , Luke Church , Shaked Flur , Sarah de Haas , Maritza Johnson , Ben Laurie

Formal verification provides mathematical guarantees that a software is correct. Design-level verification tools ensure software specifications are correct, but they do not expose defects in actual implementations. For this purpose,…

Software Engineering · Computer Science 2025-05-01 Paschal C. Amusuo , Parth V. Patil , Owen Cochell , Taylor Le Lievre , James C. Davis

Critical software systems face stringent requirements in safety, security, and reliability due to the circumstances surrounding their operation. Safety and security have progressively gained importance over the years due to the integration…

Software Engineering · Computer Science 2015-12-16 Julio Escribano-Barreno , Marisol García-Valls

In the digital age, ensuring the correctness, safety, and reliability of software through formal verification is paramount, particularly as software increasingly underpins critical infrastructure. Formal verification, split into theorem…

Software Engineering · Computer Science 2026-04-03 Zhiyong Chen , Jialun Cao , Jiarong Wu , Chang Xu , Shing-Chi Cheung

Formal methods yet advantageous, face challenges towards wide acceptance and adoption in software development practices. The major reason being presumed complexity. The issue can be addressed by academia with a thoughtful plan of teaching…

Software Engineering · Computer Science 2019-06-05 Mansur Khazeev , Manuel Mazzara , Daniel De Carvalho , Hamna Aslam

Formal verification techniques aim at formally proving the correctness of a computer program with respect to a formal specification, but the expertise and effort required for applying formal specification and verification techniques and…

Software Engineering · Computer Science 2023-01-10 João Pascoal Faria , Rui Abreu

While the use of formal verification techniques is well established in the development of mission-critical software, it is still rare in the production of most other kinds of software. We share our experience that a formal verification tool…

Programming Languages · Computer Science 2020-07-03 Dimitur Nikolaev Krustev

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

Despite the vast body of research literature proposing algorithms with formal guarantees, the amount of verifiable code in today's systems remains minimal. This discrepancy stems from the inherent difficulty of verifying code, particularly…

Software Engineering · Computer Science 2025-01-10 Changjie Wang , Mariano Scazzariello , Marco Chiesa

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…

Programming Languages · Computer Science 2022-04-11 Christophe Chareton , Sébastien Bardin , Dongho Lee , Benoît Valiron , Renaud Vilmart , Zhaowei Xu

Software engineering concepts and processes are worthy of formal study; and yet we seldom formalize them. This "research ideas" article explores what a theory of software engineering could and should look like. Software engineering research…

Software Engineering · Computer Science 2025-02-25 Bertrand Meyer

Software correctness is ensured mathematically through formal verification, which involves the resources of generating formal requirement specifications and having an implementation that must be verified. Tools such as model-checkers and…

Software Engineering · Computer Science 2025-08-29 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

As software becomes more complex and assumes an even greater role in our lives, formal verification is set to become the gold standard in securing software systems into the future, since it can guarantee the absence of errors and entire…

Human-Computer Interaction · Computer Science 2021-11-17 Carolina Carreira , João F. Ferreira , Alexandra Mendes , Nicolas Christin

We review state-of-the-art formal methods applied to the emerging field of the verification of machine learning systems. Formal methods can provide rigorous correctness guarantees on hardware and software systems. Thanks to the availability…

Programming Languages · Computer Science 2021-04-22 Caterina Urban , Antoine Miné

Nowadays, formal methods are used in various areas for the verification of programs or for code generation from models in order to increase the quality of software and to reduce costs. However, there are still fields in which formal methods…

Software Engineering · Computer Science 2021-07-01 Matthias Weiß , Philipp Marks , Benjamin Maschler , Dustin White , Pascal Kesseli , Michael Weyrich

Artificial intelligence assisted mathematical proof has become a highly focused area nowadays. One key problem in this field is to generate formal mathematical proofs from natural language proofs. Due to historical reasons, the formal proof…

Programming Languages · Computer Science 2024-05-14 Lihan Xie , Zhicheng Hui , Qinxiang Cao

Formal methods for software correctness are critical to the future of software engineering - and so must be an essential part of software engineering education. Unfortunately, formal methods are often resisted by students due to perceived…

Software Engineering · Computer Science 2022-05-03 James Noble , David Streader , Isaac Oscar Gariano , Miniruwani Samarakoon

In this chapter we outline the role that software has in modern society, along with the staggering costs of poor software quality. To lay this bare, we recall the costs of some of the major software failures that happened during the last 40…

Software Engineering · Computer Science 2026-01-30 Giovanni Bernardi , Adrian Francalanza , Marco Peressotti , Mohammad Reza Mousavi
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