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We investigate the ability of language models to perform compositional reasoning tasks where the overall solution depends on correctly composing the answers to sub-problems. We measure how often models can correctly answer all sub-problems…

Computation and Language · Computer Science 2023-10-19 Ofir Press , Muru Zhang , Sewon Min , Ludwig Schmidt , Noah A. Smith , Mike Lewis

Despite the recent success of large language models (LLMs) in reasoning such as DeepSeek, we for the first time identify a key dilemma in reasoning robustness and generalization: significant performance degradation on novel or incomplete…

Artificial Intelligence · Computer Science 2025-03-07 Tong Yu , Yongcheng Jing , Xikun Zhang , Wentao Jiang , Wenjie Wu , Yingjie Wang , Wenbin Hu , Bo Du , Dacheng Tao

The rapid evolution of Large Language Model (LLM) inference systems has yielded significant efficiency improvements. However, our systematic analysis reveals that current evaluation methodologies frequently exhibit fundamental flaws, often…

IQ testing has served as a foundational methodology for evaluating human cognitive capabilities, deliberately decoupling assessment from linguistic background, language proficiency, or domain-specific knowledge to isolate core competencies…

Artificial Intelligence · Computer Science 2025-06-05 Huanqia Cai , Yijun Yang , Winston Hu

Large Language Models (LLMs) have emerged as powerful tools in mathematical theorem proving, particularly when utilizing formal languages such as LEAN. A prevalent proof method involves the LLM prover iteratively constructing the proof…

Artificial Intelligence · Computer Science 2025-10-22 Zijian Wu , Suozhi Huang , Zhejian Zhou , Huaiyuan Ying , Zheng Yuan , Wenwei Zhang , Dahua Lin , Kai Chen

Recent advances in large language models (LLMs) for mathematical reasoning have largely focused on tasks with easily verifiable final answers while generating and verifying natural language math proofs remains an open challenge. We identify…

Computation and Language · Computer Science 2026-03-03 Wenjie Ma , Andrei Cojocaru , Neel Kolhe , Bradley Louie , Robin Said Sharif , Haihan Zhang , Vincent Zhuang , Matei Zaharia , Sewon Min

The demand for synthetic data in mathematical reasoning has increased due to its potential to enhance the mathematical capabilities of large language models (LLMs). However, ensuring the validity of intermediate reasoning steps remains a…

Artificial Intelligence · Computer Science 2026-01-19 Joshua Ong Jun Leang , Giwon Hong , Wenda Li , Shay B. Cohen

Theorem proving serves as a major testbed for evaluating complex reasoning abilities in large language models (LLMs). However, traditional automated theorem proving (ATP) approaches rely heavily on formal proof systems that poorly align…

Computation and Language · Computer Science 2025-06-04 Ziyin Zhang , Jiahao Xu , Zhiwei He , Tian Liang , Qiuzhi Liu , Yansi Li , Linfeng Song , Zhenwen Liang , Zhuosheng Zhang , Rui Wang , Zhaopeng Tu , Haitao Mi , Dong Yu

Mathematical reasoning remains a significant challenge for Large Language Models (LLMs) due to hallucinations. When combined with formal proof assistants like Lean, these hallucinations can be eliminated through rigorous verification,…

Artificial Intelligence · Computer Science 2026-01-21 Robert Joseph George , Suozhi Huang , Peiyang Song , Anima Anandkumar

We study the depth of grade-school math (GSM) problem-solving capabilities of LLMs. To this end, we evaluate their performance on pairs of existing math word problems together so that the answer to the second problem depends on correctly…

Machine Learning · Computer Science 2024-10-03 Arian Hosseini , Alessandro Sordoni , Daniel Toyama , Aaron Courville , Rishabh Agarwal

Large language models (LLMs) can prove mathematical theorems formally by generating proof steps (\textit{a.k.a.} tactics) within a proof system. However, the space of possible tactics is vast and complex, while the available training data…

Artificial Intelligence · Computer Science 2025-02-28 Zenan Li , Zhaoyu Li , Wen Tang , Xian Zhang , Yuan Yao , Xujie Si , Fan Yang , Kaiyu Yang , Xiaoxing Ma

NLP models have progressed drastically in recent years, according to numerous datasets proposed to evaluate performance. Questions remain, however, about how particular dataset design choices may impact the conclusions we draw about model…

Computation and Language · Computer Science 2023-10-27 Kaiser Sun , Adina Williams , Dieuwke Hupkes

Recent advances in automated theorem proving (ATP) through LLMs have highlighted the potential of formal reasoning with Lean 4 codes. However, ATP has not yet be revolutionized by the recent posttraining scaling as demonstrated by Open AI…

Artificial Intelligence · Computer Science 2025-07-15 Jingyuan Zhang , Qi Wang , Xingguang Ji , Yahui Liu , Yang Yue , Fuzheng Zhang , Di Zhang , Guorui Zhou , Kun Gai

Large language models (LLMs) are increasingly envisioned as decision-support tools in clinical practice, yet safe clinical reasoning demands integrating heterogeneous knowledge bases -- trials, primary studies, regulatory documents, and…

Computation and Language · Computer Science 2025-05-22 Shan Chen , Pedro Moreira , Yuxin Xiao , Sam Schmidgall , Jeremy Warner , Hugo Aerts , Thomas Hartvigsen , Jack Gallifant , Danielle S. Bitterman

Automated proving of polynomial inequalities is a fundamental challenge in automated mathematical reasoning, where rich algebraic structure and a rapidly growing certificate search space hinder scalability. Purely symbolic approaches…

Artificial Intelligence · Computer Science 2026-05-18 Ruobing Zuo , Hanrui Zhao , Gaolei He , Zhengfeng Yang , Jianlin Wang

Large Language Model (LLM)-based agents exhibit systemic failures in compositional generalization, limiting their robustness in interactive environments. This work introduces AGEL-Comp, a neuro-symbolic AI agent architecture designed to…

Artificial Intelligence · Computer Science 2026-04-30 Mahnoor Shahid , Hannes Rothe

Advances in large language models (LLMs) have spurred research into enhancing their reasoning capabilities, particularly in math-rich STEM (Science, Technology, Engineering, and Mathematics) documents. While LLMs can generate equations or…

Computation and Language · Computer Science 2025-06-03 Jiaru Zou , Qing Wang , Pratyush Thakur , Nickvash Kani

With reasoning language models such as OpenAI-o3 and DeepSeek-R1 emerging, large language models (LLMs) have entered a new phase of development. However, existing benchmarks for coding evaluation are gradually inadequate to assess the…

Computation and Language · Computer Science 2025-03-03 Lei Yang , Renren Jin , Ling Shi , Jianxiang Peng , Yue Chen , Deyi Xiong

Large language models (LLMs) have recently shown strong performance on mathematical benchmarks. At the same time, they are prone to hallucination and sycophancy, often providing convincing but flawed proofs for incorrect mathematical…

Artificial Intelligence · Computer Science 2025-10-07 Ivo Petrov , Jasper Dekoninck , Martin Vechev