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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…

Geometry problems are a crucial testbed for AI reasoning capabilities. Most existing geometry solving systems cannot express problems within a unified framework, thus are difficult to integrate with other mathematical fields. Besides, since…

Artificial Intelligence · Computer Science 2025-08-21 Chendong Song , Zihan Wang , Frederick Pu , Haiming Wang , Xiaohan Lin , Junqi Liu , Jia Li , Zhengying Liu

Building precise simulations of the real world and invoking numerical solvers to answer quantitative problems is an essential requirement in engineering and science. We present FEABench, a benchmark to evaluate the ability of large language…

Artificial Intelligence · Computer Science 2025-04-09 Nayantara Mudur , Hao Cui , Subhashini Venugopalan , Paul Raccuglia , Michael P. Brenner , Peter Norgaard

AI-driven program repair uses AI models to repair buggy software by producing patches. Rapid advancements in AI surely impact state-of-the-art performance of program repair. Yet, grasping this progress requires frequent and standardized…

Software Engineering · Computer Science 2025-10-28 André Silva , Martin Monperrus

We introduce PaperBench, a benchmark evaluating the ability of AI agents to replicate state-of-the-art AI research. Agents must replicate 20 ICML 2024 Spotlight and Oral papers from scratch, including understanding paper contributions,…

Nowadays, formal theorem provers have made monumental progress on high-school and competition-level mathematics, but few of them generalize to more advanced mathematics. In this paper, we present REAL-Prover, a new open-source stepwise…

Computation and Language · Computer Science 2025-11-25 Ziju Shen , Naohao Huang , Fanyi Yang , Yutong Wang , Guoxiong Gao , Tianyi Xu , Jiedong Jiang , Wanyi He , Pu Yang , Mengzhou Sun , Haocheng Ju , Peihao Wu , Bryan Dai , Bin Dong

With widespread adoption of AI models for important decision making, ensuring reliability of such models remains an important challenge. In this paper, we present an end-to-end generic framework for testing AI Models which performs…

Machine Learning · Computer Science 2021-02-12 Aniya Aggarwal , Samiulla Shaikh , Sandeep Hans , Swastik Haldar , Rema Ananthanarayanan , Diptikalyan Saha

Recent advances in large language models (LLMs) have demonstrated impressive capabilities in formal theorem proving, particularly on contest-based mathematical benchmarks like the IMO. However, these contests do not reflect the depth,…

Machine Learning · Computer Science 2026-03-10 Jiedong Jiang , Wanyi He , Yuefeng Wang , Guoxiong Gao , Yongle Hu , Jingting Wang , Nailin Guan , Peihao Wu , Chunbo Dai , Liang Xiao , Bin Dong

Recent progress in formal theorem proving has benefited from large-scale proof generation and verifier-aware training, but agentic proving is rarely integrated into prover training, appearing only at inference time. We present OProver, a…

Computation and Language · Computer Science 2026-05-19 David Ma , Kaijing Ma , Shawn Guo , Yunfeng Shi , Enduo Zhao , Jiajun Shi , Zhaoxiang Zhang , Gavin Cheung , Jiaheng Liu , Zili Wang

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

Numerous theorems, such as those in geometry, are often presented in multimodal forms (e.g., diagrams). Humans benefit from visual reasoning in such settings, using diagrams to gain intuition and guide the proof process. Modern Multimodal…

Computation and Language · Computer Science 2025-06-09 Zhitao He , Zongwei Lyu , Dazhong Chen , Dadi Guo , Yi R. Fung

Autonomous AI research agents aim to accelerate scientific discovery by automating the research pipeline, from hypothesis generation to peer review. However, existing benchmarks rarely test a fundamental bottleneck: whether Large Language…

Machine Learning · Computer Science 2026-05-29 Sy-Tuyen Ho , Minghui Liu , Huy Nghiem , Furong Huang

Formal verification guarantees proof validity but not formalization faithfulness. For natural-language logical reasoning, where models construct axiom systems from scratch without library constraints, this gap between valid proofs and…

Artificial Intelligence · Computer Science 2026-04-22 Kyuhee Kim , Auguste Poiroux , Antoine Bosselut

There is widespread optimism that frontier Large Language Models (LLMs) and LLM-augmented systems have the potential to rapidly accelerate scientific discovery across disciplines. Today, many benchmarks exist to measure LLM knowledge and…

Can AI make progress on important, unsolved mathematical problems? Large language models are now capable of sophisticated mathematical and scientific reasoning, but whether they can perform novel research is still widely debated and…

Proof autoformalization, the task of translating natural language theorems and proofs into machine-verifiable code, is a critical step for integrating large language models into rigorous mathematical workflows. Current approaches focus on…

Artificial Intelligence · Computer Science 2025-10-21 Rafael Cabral , Tuan Manh Do , Xuejun Yu , Wai Ming Tai , Zijin Feng , Xin Shen

AI agents have shown initial promise in automating mathematical theorem proving in proof assistants such as Lean. The same proof assistants can be used to verify the correctness of code by pairing code with specifications and proofs that…

Software Engineering · Computer Science 2024-10-11 Evan Lohn , Sean Welleck

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

Recent advances in large language models (LLMs) have shown promise in formal theorem proving, yet evaluating semantic correctness remains challenging. Existing evaluations rely on indirect proxies such as lexical overlap with…

Computation and Language · Computer Science 2026-04-29 Jongyoon Kim , Hojae Han , Seung-won Hwang

AI agents may soon become capable of autonomously completing valuable, long-horizon tasks in diverse domains. Current benchmarks either do not measure real-world tasks, or are not sufficiently difficult to meaningfully measure frontier…