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Formal verification techniques have been playing an important role in pre-silicon validation processes. One of the most important points considered in performing formal verification is to define good verification scopes; we should define…

Logic in Computer Science · Computer Science 2011-11-09 Yasushi Umezawa , Takeshi Shimizu

Although large language models (LLMs) have been touted for their ability to generate natural-sounding text, there are growing concerns around possible negative effects of LLMs such as data memorization, bias, and inappropriate language.…

Machine Learning · Computer Science 2023-05-10 Michael Kuchnik , Virginia Smith , George Amvrosiadis

Large Language Models (LLMs) have shown significant advances in text generation but often lack the reliability needed for autonomous deployment in high-stakes domains like healthcare, law, and finance. Existing approaches rely on external…

Artificial Intelligence · Computer Science 2024-11-12 Ninad Naik

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

Recent advances have shown that scaling test-time computation enables large language models (LLMs) to solve increasingly complex problems across diverse domains. One effective paradigm for test-time scaling (TTS) involves LLM generators…

Computation and Language · Computer Science 2026-04-15 Yefan Zhou , Austin Xu , Yilun Zhou , Janvijay Singh , Jiang Gui , Shafiq Joty

Large language models for code generation increasingly rely on synthetic data, where both problem solutions and verification tests are generated by models. While this enables scalable data creation, it introduces a previously unexplored…

Software Engineering · Computer Science 2025-09-26 Srishti Gureja , Elena Tommasone , Jingyi He , Sara Hooker , Matthias Gallé , Marzieh Fadaee

Reasoning is essential for closed-domain QA systems in which procedural correctness and policy compliance are critical. While large language models (LLMs) have shown strong performance on many reasoning tasks, recent work reveals that their…

Artificial Intelligence · Computer Science 2025-09-16 Tuan Bui , An Nguyen , Phat Thai , Minh Hua , Ngan Pham L. N. , Ngan Pham T. B. , Dung Le , Long Nguyen , Thanh-Tung Tran , Thang Bui , Tho Quan

Existing informal language-based (e.g., human language) Large Language Models (LLMs) trained with Reinforcement Learning (RL) face a significant challenge: their verification processes, which provide crucial training signals, are neither…

Computation and Language · Computer Science 2025-10-14 Chuanhao Yan , Fengdi Che , Xuhan Huang , Xu Xu , Xin Li , Yizhi Li , Xingwei Qu , Jingzhe Shi , Chenghua Lin , Yaodong Yang , Binhang Yuan , Hang Zhao , Yu Qiao , Bowen Zhou , Jie Fu

The rapid spread of multilingual misinformation requires robust automated fact verification systems capable of handling fine-grained veracity assessments across diverse languages. While large language models have shown remarkable…

Computation and Language · Computer Science 2025-07-29 Hanna Shcharbakova , Tatiana Anikina , Natalia Skachkova , Josef van Genabith

Nowadays, Large Language Models (LLMs) are foundational components of modern software systems. As their influence grows, concerns about fairness have become increasingly pressing. Prior work has proposed metamorphic testing to detect…

Software Engineering · Computer Science 2025-12-19 Alessandra Parziale , Gianmario Voria , Valeria Pontillo , Gemma Catolino , Andrea De Lucia , Fabio Palomba

Large language models (LLMs) have made significant strides in code generation, achieving impressive capabilities in synthesizing code snippets from natural language instructions. However, a critical challenge remains in ensuring LLMs…

Computation and Language · Computer Science 2025-12-23 Jian Yang , Wei Zhang , Yizhi Li , Shawn Guo , Haowen Wang , Aishan Liu , Ge Zhang , Zili Wang , Zhoujun Li , Xianglong Liu , Weifeng Lv

``Vibe coding'' -- the practice of developing software through iteratively conversing with a large language model (LLM) -- has exploded in popularity within the last year. However, developers report key limitations including the…

Software Engineering · Computer Science 2025-11-04 Jacqueline Mitchell , Yasser Shaaban

Adversarial robustness verification is essential for ensuring the safe deployment of Large Language Models (LLMs) in runtime-critical applications. However, formal verification techniques remain computationally infeasible for modern LLMs…

Machine Learning · Computer Science 2025-07-25 Natan Levy , Adiel Ashrov , Guy Katz

While Large Language Models have transformed how we interact with AI systems, they suffer from a critical flaw: they confidently generate false information that sounds entirely plausible. This hallucination problem has become a major…

Artificial Intelligence · Computer Science 2025-10-28 Piyushkumar Patel

Verification is one of the central tasks in circuit and system design. While simulation and emulation are widely used, complete correctness can only be ensured based on formal proof techniques. But these approaches often have very high run…

Logic in Computer Science · Computer Science 2025-05-30 Rolf Drechsler

The public often attributes human-like qualities to large language models (LLMs) and assumes they "know" certain things. In reality, LLMs encode information retained during training as internal probabilistic knowledge. This study examines…

Computation and Language · Computer Science 2025-11-18 Germans Savcisens , Tina Eliassi-Rad

Large language models (LLM), such as Google's Minerva and OpenAI's GPT families, are becoming increasingly capable of solving mathematical quantitative reasoning problems. However, they still make unjustified logical and computational…

Artificial Intelligence · Computer Science 2024-03-28 Jin Peng Zhou , Charles Staats , Wenda Li , Christian Szegedy , Kilian Q. Weinberger , Yuhuai Wu

We introduce a tool for rigorous and automated verification of large language model (LLM)- based policies in memoryless sequential decision-making tasks. Given a Markov decision process (MDP) representing the sequential decision-making…

Artificial Intelligence · Computer Science 2025-10-09 Dennis Gross , Helge Spieker , Arnaud Gotlieb

Formal mathematical reasoning remains a critical challenge for artificial intelligence, hindered by limitations of existing benchmarks in scope and scale. To address this, we present FormalMATH, a large-scale Lean4 benchmark comprising…

Automated code generation with large language models has gained significant traction, but there remains no guarantee on the correctness of generated code. We aim to use formal verification to provide mathematical guarantees that the…

Machine Learning · Computer Science 2024-12-10 Pranjal Aggarwal , Bryan Parno , Sean Welleck
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