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As transformers have gained prominence in natural language processing, some researchers have investigated theoretically what problems they can and cannot solve, by treating problems as formal languages. Exploring such questions can help…

Machine Learning · Computer Science 2024-09-05 Lena Strobl , William Merrill , Gail Weiss , David Chiang , Dana Angluin

Proponents of software verification have argued that simpler code is easier to verify: that is, that verification tools issue fewer false positives and require less human intervention when analyzing simpler code. We empirically validate…

Software Engineering · Computer Science 2023-11-01 Kobi Feldman , Martin Kellogg , Oscar Chaparro

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

Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal claim, which may…

Programming Languages · Computer Science 2023-10-09 Colin S. Gordon , Sergey Matskevich

Mechanistic interpretability often identifies circuits inside Transformer models, but explanations of those circuits are usually validated through examples, ablations, and manual reasoning. This leaves a gap between finding a plausible…

Machine Learning · Computer Science 2026-05-26 Neel Somani

This paper proposes a natural language translation method for machine-verifiable formal proofs that leverages the informalization (verbalization of formal language proof steps) and summarization capabilities of LLMs. For evaluation, it was…

Computation and Language · Computer Science 2025-09-15 Seiji Hattori , Takuya Matsuzaki , Makoto Fujiwara

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

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 verification techniques are widely used for detecting design flaws in software systems. Formal verification can be done by transforming an already implemented source code to a formal model and attempting to prove certain properties…

Software Engineering · Computer Science 2017-08-28 Gyula Sallai , Ákos Hajdu , Tamás Tóth , Zoltán Micskei

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

This report describes the state of the art in verifiable computation. The problem being solved is the following: The Verifiable Computation Problem (Verifiable Computing Problem) Suppose we have two computing agents. The first agent is the…

Transformer architectures have revolutionized machine learning across a wide range of domains, from natural language processing to scientific computing. However, their growing deployment in high-stakes applications, such as computer vision,…

Machine Learning · Computer Science 2026-02-17 Trishit Mondal , Ameya D. Jagtap

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

Artificial intelligence (AI) is transforming the practice of science. Machine learning and large language models (LLMs) can generate hypotheses at a scale and speed far exceeding traditional methods, offering the potential to accelerate…

Artificial Intelligence · Computer Science 2025-12-18 Cristina Cornelio , Takuya Ito , Ryan Cory-Wright , Sanjeeb Dash , Lior Horesh

Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal claim, which may…

Programming Languages · Computer Science 2022-05-17 Colin S. Gordon , Sergey Matskevich

Hybrid systems with both discrete and continuous dynamics are an important model for real-world cyber-physical systems. The key challenge is to ensure their correct functioning w.r.t. safety requirements. Promising techniques to ensure…

Logic in Computer Science · Computer Science 2015-05-27 Stefan Mitsch , Grant Olney Passmore , Andre Platzer

Formally verifying software properties is a highly desirable but labor-intensive task. Recent work has developed methods to automate formal verification using proof assistants, such as Coq and Isabelle/HOL, e.g., by training a model to…

Machine Learning · Computer Science 2023-03-17 Emily First , Markus N. Rabe , Talia Ringer , Yuriy Brun

Software testing plays a critical role in ensuring that systems behave as intended. However, existing automated testing approaches struggle to match the capabilities of human engineers due to key limitations such as test locality, lack of…

Software Engineering · Computer Science 2025-06-16 Kangping Xu , Yifan Luo , Yang Yuan , Andrew Chi-Chih Yao

Formal verification entails testing software to ensure it operates as specified. Smart contracts are self-executing contracts with the terms of the agreement directly written into lines of code. They run on blockchain platforms and…

Software Engineering · Computer Science 2025-10-22 Rene Davila , Everardo Barcenas , Rocio Aldeco-Perez

When blockchain systems are said to be trustless, what this really means is that all the trust is put into software. Thus, there are strong incentives to ensure blockchain software is correct -- vulnerabilities here cost millions and break…

Software Engineering · Computer Science 2025-10-20 Jan Corazza , Ivan Gavran , Gabriela Moreira , Daniel Neider