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Verifying partial (i.e., termination-insensitive) equivalence of programs has significant practical applications in software development and education. Conventional equivalence verifiers typically rely on a combination of given relational…

编程语言 · 计算机科学 2017-05-10 Qi Zhou , David Heath , William Harris

Large language models (LLMs) increasingly excel at mathematical reasoning, but their unreliability limits their utility in mathematics research. A mitigation is using LLMs to generate formal proofs in languages like Lean. We perform the…

Reinforcement learning (RL) has proven itself as a powerful tool for the discovery of quantum circuits and quantum protocols. We have recently shown that including composite quantum gates -- referred to as ``gadgets'' -- in the action space…

量子物理 · 物理学 2025-09-30 Oleg M. Yevtushenko , Florian Marquardt

Automated theorem proving, or more broadly automated reasoning, aims at using computer programs to automatically prove or disprove mathematical theorems and logical statements. It takes on an essential role across a vast array of…

量子物理 · 物理学 2026-01-14 Zheng-Zhi Sun , Qi Ye , Dong-Ling Deng

Modern separation logics allow one to prove rich properties of intricate code, e.g. functional correctness and linearizability of non-blocking concurrent code. However, this expressiveness leads to a complexity that makes these logics…

编程语言 · 计算机科学 2021-08-16 Felix A. Wolf , Malte Schwerhoff , Peter Müller

Interactive Theorem Provers (ITPs) are an indispensable tool in the arsenal of formal method experts as a platform for construction and (formal) verification of proofs. The complexity of the proofs in conjunction with the level of expertise…

计算机科学中的逻辑 · 计算机科学 2023-04-21 Eric Yeh , Briland Hitaj , Sam Owre , Maena Quemener , Natarajan Shankar

Mechanical reasoning is a key area of research that lies at the crossroads of mathematical logic and artificial intelligence. The main aim to develop mechanical reasoning systems (also known as theorem provers) was to enable mathematicians…

软件工程 · 计算机科学 2019-12-09 M. Saqib Nawaz , Moin Malik , Yi Li , Meng Sun , M. Ikram Ullah Lali

Automated theorem proving has long been a key task of artificial intelligence. Proofs form the bedrock of rigorous scientific inquiry. Many tools for both partially and fully automating their derivations have been developed over the last…

人工智能 · 计算机科学 2018-10-15 Brian Groenke

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…

软件工程 · 计算机科学 2025-01-10 Changjie Wang , Mariano Scazzariello , Marco Chiesa

Accurate auto-formalization of theorem statements is essential for advancing automated discovery and verification of research-level mathematics, yet remains a major bottleneck for LLMs due to hallucinations, semantic mismatches, and their…

人工智能 · 计算机科学 2025-10-07 Hanyu Wang , Ruohan Xie , Yutong Wang , Guoxiong Gao , Xintao Yu , Bin Dong

The use of deductive techniques, such as theorem provers, has several advantages in safety verification of hybrid sys- tems; however, state-of-the-art theorem provers require ex- tensive manual intervention. Furthermore, there is often a…

计算机科学中的逻辑 · 计算机科学 2021-09-08 Nikos Arechiga , James Kapinski , Jyotirmoy Deshmukh , Andre Platzer , Bruce Krogh

Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning. In…

人工智能 · 计算机科学 2025-06-23 Lasse Blaauwbroek , David Cerna , Thibault Gauthier , Jan Jakubův , Cezary Kaliszyk , Martin Suda , Josef Urban

Generating code from natural-language requirements has become a primary route for LLM-assisted software development. Although LLMs can successfully complete small programming tasks, generating an entire complex project remains unreliable…

软件工程 · 计算机科学 2026-05-26 Jian Fang , Yingfei Xiong

We introduce KodCode, a synthetic dataset that addresses the persistent challenge of acquiring high-quality, verifiable training data across diverse difficulties and domains for training Large Language Models for coding. Existing…

机器学习 · 计算机科学 2025-07-15 Zhangchen Xu , Yang Liu , Yueqin Yin , Mingyuan Zhou , Radha Poovendran

Solving math problems through verifiable languages such as Lean has significantly impacted both the mathematics and computer science communities. Current state-of-the-art models are often trained with expensive online Reinforcement Learning…

机器学习 · 计算机科学 2026-03-03 Ruida Wang , Jiarui Yao , Rui Pan , Shizhe Diao , Tong Zhang

Answer verification methods are widely employed in language model training pipelines spanning data curation, evaluation, and reinforcement learning with verifiable rewards (RLVR). While prior work focus on developing unified verifiers…

机器学习 · 计算机科学 2025-12-02 Ruixiang Feng , Zhenwei An , Yuntao Wen , Ran Le , Yiming Jia , Chen Yang , Zongchao Chen , Lisi Chen , Shen Gao , Shuo Shang , Yang Song , Tao Zhang

Chart question-answering (QA) benchmarks aim to pose questions that require visual reasoning to correctly answer, but models can often reach solutions through shortcuts or prior familiarity with a chart based on their own background…

计算与语言 · 计算机科学 2026-05-27 Yifan Jiang , Dae Yon Hwang , Jesse C. Cresswell , Freda Shi

As the adoption of proof assistants increases, there is a need for efficiency in identifying, documenting, and fixing compatibility issues that arise from proof assistant evolution. We present the Coq Bug Minimizer, a tool for reproducing…

软件工程 · 计算机科学 2025-03-12 Jason Gross , Théo Zimmermann , Rajashree Agrawal , Adam Chlipala

Undergraduate students of artificial intelligence often struggle with representing knowledge as logical sentences. This is a skill that seems to require extensive practice to obtain, suggesting a teaching strategy that involves the…

计算机与社会 · 计算机科学 2015-07-15 Angelo Kyrilov , David Noelle

While Reinforcement Learning from Human Feedback (RLHF) has become a pivotal paradigm for text-to-image generation, its application to image editing remains largely unexplored. A key bottleneck is the lack of a robust general reward model…

计算机视觉与模式识别 · 计算机科学 2026-05-21 Hanzhong Guo , Jie Wu , Jie Liu , Yu Gao , Zilyu Ye , Linxiao Yuan , Xionghui Wang , Yizhou Yu , Weilin Huang