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We study the generalization abilities of language models when translating natural language into formal specifications with complex semantics. In particular, we fine-tune language models on three datasets consisting of English sentences and…

Software Engineering · Computer Science 2022-10-21 Christopher Hahn , Frederik Schmitt , Julia J. Tillman , Niklas Metzger , Julian Siber , Bernd Finkbeiner

Earlier work on machine learning for automated reasoning mostly relied on simple, syntactic features combined with sophisticated learning techniques. Using ideas adopted in the software verification community, we propose the investigation…

Logic in Computer Science · Computer Science 2020-01-15 Sarah Winkler , Georg Moser

Despite the extent of recent advances in Machine Learning (ML) and Neural Networks, providing formal guarantees on the behavior of these systems is still an open problem, and a crucial requirement for their adoption in regulated or…

Machine Learning · Computer Science 2024-10-01 Matteo Francobaldi , Michele Lombardi

Recent advances in the field of Business Process Management have brought about several suites able to model complex data objects along with the traditional control flow perspective. Nonetheless, when it comes to formal verification there is…

Artificial Intelligence · Computer Science 2025-07-25 Riccardo De Masellis , Chiara Di Francescomarino , Chiara Ghidini , Sergio Tessaris

Formal Verification (FV) and Machine Learning (ML) can seem incompatible due to their opposite mathematical foundations and their use in real-life problems: FV mostly relies on discrete mathematics and aims at ensuring correctness; ML often…

Software Engineering · Computer Science 2018-06-13 Moussa Amrani , Levi Lúcio , Adrien Bibal

The analysis of formal models that include quantitative aspects such as timing or probabilistic choices is performed by quantitative verification tools. Broad and mature tool support is available for computing basic properties such as…

As both machine learning models and the datasets on which they are evaluated have grown in size and complexity, the practice of using a few summary statistics to understand model performance has become increasingly problematic. This is…

Legal reasoning requires both precise interpretation of statutory language and consistent application of complex rules, presenting significant challenges for AI systems. This paper introduces a modular multi-agent framework that decomposes…

Artificial Intelligence · Computer Science 2025-11-11 Albert Sadowski , Jarosław A. Chudziak

In recent years, we observe an increasing amount of software with machine learning components being deployed. This poses the question of quality assurance for such components: how can we validate whether specified requirements are fulfilled…

Software Engineering · Computer Science 2021-05-04 Arnab Sharma , Caglar Demir , Axel-Cyrille Ngonga Ngomo , Heike Wehrheim

A comprehensive verification of parallel software imposes three crucial requirements on the procedure that implements it. Apart from accepting real code as program input and temporal formulae as specification input, the verification should…

Software Engineering · Computer Science 2013-04-01 Jiri Barnat , Petr Bauch

We present FormalProofBench, a private benchmark designed to evaluate whether AI models can produce formally verified mathematical proofs at the graduate level. Each task pairs a natural-language problem with a Lean~4 formal statement, and…

Artificial Intelligence · Computer Science 2026-03-31 Nikil Ravi , Kexing Ying , Vasilii Nesterov , Rayan Krishnan , Elif Uskuplu , Bingyu Xia , Janitha Aswedige , Langston Nashold

Although they differ in the functionality they offer, low-level systems exhibit certain patterns of design and utilization of computing resources. In this paper, we argue the position that modalities, in the sense of modal logic, should be…

Logic in Computer Science · Computer Science 2025-09-30 Ismail Kuru , Colin S. Gordon

The research in AI-based formal mathematical reasoning has shown an unstoppable growth trend. These studies have excelled in mathematical competitions like IMO and have made significant progress. This paper focuses on formal verification,…

Artificial Intelligence · Computer Science 2025-06-10 Jialun Cao , Yaojie Lu , Meiziniu Li , Haoyang Ma , Haokun Li , Mengda He , Cheng Wen , Le Sun , Hongyu Zhang , Shengchao Qin , Shing-Chi Cheung , Cong Tian

The sequent calculus is a formalism for proving validity of statements formulated in First-Order Logic. It is routinely used in computer science modules on mathematical logic. Formal proofs in the sequent calculus are finite trees obtained…

Logic in Computer Science · Computer Science 2018-03-06 Arno Ehle , Norbert Hundeshagen , Martin Lange

The development of Machine Learning (ML) models is more than just a special case of software development (SD): ML models acquire properties and fulfill requirements even without direct human interaction in a seemingly uncontrollable manner.…

Deductive verification typically relies on function contracts that specify the behavior of each function for a single function call. Relational properties link several function calls together within a single specification. They can express…

Software Engineering · Computer Science 2024-01-17 Lionel Blatter , Nikolai Kosmatov , Virgile Prevosto , Pascale Le Gall

Autoformalization, the process of transforming informal mathematical language into formal specifications and proofs remains a difficult task for state-of-the-art (large) language models. Existing works point to competing explanations for…

Artificial Intelligence · Computer Science 2025-02-25 Willy Chan , Michael Souliman , Jakob Nordhagen , Brando Miranda , Elyas Obbad , Kai Fronsdal Sanmi Koyejo

The challenge of formal proof generation has a rich history, but with modern techniques, we may finally be at the stage of making actual progress in real-life mathematical problems. This paper explores the integration of ChatGPT and basic…

Logic in Computer Science · Computer Science 2025-02-20 Sangjun Han , Taeil Hur , Youngmi Hur , Kathy Sangkyung Lee , Myungyoon Lee , Hyojae Lim

In this discussion paper, we survey recent research surrounding robustness of machine learning models. As learning algorithms become increasingly more popular in data-driven control systems, their robustness to data uncertainty must be…

Machine Learning · Computer Science 2022-09-28 Brendon G. Anderson , Tanmay Gautam , Somayeh Sojoudi

Formal verification is at the heart of model validation and correctness. With model checking, invaluable realizations have been accomplished in software engineering and particularly in software development. By means of this approach,…

Software Engineering · Computer Science 2023-08-02 Patrick Mukala
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