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Formal verification can provably guarantee the correctness of critical system software, but the high proof burden has long hindered its wide adoption. Recently, Large Language Models (LLMs) have shown success in code analysis and synthesis.…

Formal Languages and Automata Theory · Computer Science 2023-11-27 Jianan Yao , Ziqiao Zhou , Weiteng Chen , Weidong Cui

This paper presents the first model-checking algorithm for an expressive modal mu-calculus over timed automata, $L^{\mathit{rel}, \mathit{af}}_{\nu,\mu}$, and reports performance results for an implementation. This mu-calculus contains…

Formal Languages and Automata Theory · Computer Science 2014-08-29 Peter Fontana , Rance Cleaveland

We develop a practical solution to the problem of automatic verification of the interface between device drivers and the OS. Our solution relies on a combination of improved driver architecture and verification tools. It supports drivers…

Operating Systems · Computer Science 2012-11-28 Sidney Amani , Peter Chubb , Alastair F. Donaldson , Alexander Legg , Leonid Ryzhyk , Yanjin Zhu

VeriFast is a prototype tool based on separation logic for modular verification of C and Java programs. We are in the process of adding support for C++. In this report, we describe the features of C++ for which we added support so far, as…

Logic in Computer Science · Computer Science 2022-12-29 Niels Mommen , Bart Jacobs

A compiler consists of a sequence of phases going from lexical analysis to code generation. Ideally, the formal verification of a compiler should include the formal verification of each component of the tool-chain. An example is the…

Programming Languages · Computer Science 2023-06-22 Wendlasida Ouedraogo , Gabriel Scherer , Lutz Strassburger

Large language models (LLMs) have demonstrated significant potential in formal theorem proving, yet state-of-the-art performance often necessitates prohibitive test-time compute via massive roll-outs or extended context windows. In this…

Machine Learning · Computer Science 2026-04-22 Guchan Li , Rui Tian , Hongning Wang

The demand for accurate and efficient verification of information in texts generated by large language models (LMs) is at an all-time high, but remains unresolved. Recent efforts have focused on extracting and verifying atomic facts from…

Computation and Language · Computer Science 2024-09-25 Vasileios Katranidis , Gabor Barany

Large language models (LLMs) are increasingly used for program verification, and yet little is known about \emph{how} they reason about program semantics during this process. In this work, we focus on abstract interpretation based-reasoning…

Machine Learning · Computer Science 2025-10-01 Jacqueline L. Mitchell , Brian Hyeongseok Kim , Chenyu Zhou , Chao Wang

Recent advances in automated theorem proving use Large Language Models (LLMs) to translate informal mathematical statements into formal proofs. However, informal cues are often ambiguous or lack strict logical structure, making it hard for…

Machine Learning · Computer Science 2025-10-14 Shashank Kirtania , Arun Iyer

Recent years have seen tremendous growth in the amount of verified software. Proofs for complex properties can now be achieved using higher-order theories and calculi. Complex properties lead to an ever-growing number of definitions and…

Programming Languages · Computer Science 2021-11-29 Eytan Singher , Shachar Itzhaky

The ability to detect and analyze failed executions automatically is crucial for an explainable and robust robotic system. Recently, Large Language Models (LLMs) have demonstrated strong reasoning abilities on textual inputs. To leverage…

Robotics · Computer Science 2023-10-18 Zeyi Liu , Arpit Bahety , Shuran Song

Noisy data, non-convex objectives, model misspecification, and numerical instability can all cause undesired behaviors in machine learning systems. As a result, detecting actual implementation errors can be extremely difficult. We…

Software Engineering · Computer Science 2017-06-28 Daniel Selsam , Percy Liang , David L. Dill

The goal of this paper is to help mainstream programmers routinely use formal verification on their smart contracts by 1) proposing a new YAML-format for writing general-purpose formal specifications, 2) demonstrating how a formal…

Programming Languages · Computer Science 2019-12-09 Suhabe Bugrara

In this paper we present product-form solutions from the point of view of stochastic process algebra. In previous work we have shown how to derive product-form solutions for a formalism called Labelled Markov Automata (LMA). LMA are very…

Performance · Computer Science 2012-12-21 Maria Grazia Vigliotti

Recent work has shown that Large Language Models (LLMs) are not only a suitable tool for code generation but also capable of generating annotation-based code specifications. Scaling these methodologies may allow us to deduce provable…

Software Engineering · Computer Science 2025-06-26 Samuel Teuber , Bernhard Beckert

Cryptographic protocols play a fundamental role in securing modern digital infrastructure, but they are often deployed without prior formal verification. This could lead to the adoption of distributed systems vulnerable to attack vectors.…

Cryptography and Security · Computer Science 2024-11-22 Cristian Curaba , Denis D'Ambrosi , Alessandro Minisini , Natalia Pérez-Campanero Antolín

Large Language Models (LLMs) have demonstrated strong capabilities in general-purpose code generation. However, generating the code which is deeply hardware-specific, architecture-aware, and performance-critical, especially for massively…

Machine Learning · Computer Science 2025-06-12 Wentao Chen , Jiace Zhu , Qi Fan , Yehan Ma , An Zou

Assessing language proficiency is essential for education, as it enables instruction tailored to learners needs. This paper investigates the use of Large Language Models (LLMs) for automatically classifying German texts according to the…

Computation and Language · Computer Science 2025-12-09 Elias-Leander Ahlers , Witold Brunsmann , Malte Schilling

In software verification, a successful automated program proof is the ultimate triumph. The road to such success is, however, paved with many failed proof attempts. The message produced by the prover when a proof fails is often obscure,…

Software Engineering · Computer Science 2022-08-29 Li Huang , Bertrand Meyer , Manuel Oriol

The main goal of our work is to formally prove the correctness of the key commands of the SCHUR software, an interactive program for calculating with characters of Lie groups and symmetric functions. The core of the computations relies on…

Logic in Computer Science · Computer Science 2010-04-29 Franck Butelle , Florent Hivert , Micaela Mayero , Frédéric Toumazet
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