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Large language models (LLMs) have shown promising first-order logic (FOL) reasoning capabilities with applications in various areas. However, their effectiveness in complex mathematical reasoning involving multi-step FOL deductions is still…

Artificial Intelligence · Computer Science 2025-06-23 Chuxue Cao , Mengze Li , Juntao Dai , Jinluan Yang , Zijian Zhao , Shengyu Zhang , Weijie Shi , Chengzhong Liu , Sirui Han , Yike Guo

We introduce LLM CHESS, an evaluation framework designed to probe the generalization of reasoning and instruction-following abilities in large language models (LLMs) through extended agentic interaction in the domain of chess. We rank over…

Artificial Intelligence · Computer Science 2025-12-02 Sai Kolasani , Maxim Saplin , Nicholas Crispino , Kyle Montgomery , Jared Quincy Davis , Matei Zaharia , Chi Wang , Chenguang Wang

We present a novel framework addressing a critical vulnerability in Large Language Models (LLMs): the prevalence of factual inaccuracies within intermediate reasoning steps despite correct final answers. This phenomenon poses substantial…

Computation and Language · Computer Science 2025-08-05 Rui Jiao , Yue Zhang , Jinku Li

Advances in Large Language Models (LLMs) have significantly improved multi-step reasoning through generating free-text rationales. However, recent studies show that LLMs tend to lose focus over the middle of long contexts. This raises…

Computation and Language · Computer Science 2025-04-15 Siyuan Wang , Enda Zhao , Zhongyu Wei , Xiang Ren

Traditional language model-based theorem proving assumes that by training on a sufficient amount of formal proof data, a model will learn to prove theorems. Our key observation is that a wealth of informal information that is not present in…

Artificial Intelligence · Computer Science 2025-03-18 Haohan Lin , Zhiqing Sun , Sean Welleck , Yiming Yang

Large Language Models (LLM) exhibit zero-shot mathematical reasoning capacity as a behavior emergent with scale, commonly manifesting as chain-of-thoughts (CoT) reasoning. However, multiple empirical findings suggest that this prowess is…

Artificial Intelligence · Computer Science 2023-12-20 Subhabrata Dutta , Joykirat Singh , Ishan Pandey , Sunny Manchanda , Soumen Chakrabarti , Tanmoy Chakraborty

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

State-of-the-art reasoning LLMs are powerful problem solvers, but they still occasionally make mistakes. However, adopting AI models in risk-sensitive domains often requires error rates near 0%. To address this gap, we propose collaboration…

Artificial Intelligence · Computer Science 2025-07-22 Michael J. Zellinger , Matt Thomson

Understanding a program's runtime reasoning behavior, meaning how intermediate states and control flows lead to final execution results, is essential for reliable code generation, debugging, and automated reasoning. Although large language…

Software Engineering · Computer Science 2025-12-02 Mohammad Abdollahi , Khandaker Rifah Tasnia , Soumit Kanti Saha , Jinqiu Yang , Song Wang , Hadi Hemmati

Large Language Models (LLMs) have achieved remarkable success across various industries due to their exceptional generative capabilities. However, for safe and effective real-world deployments, ensuring honesty and helpfulness is critical.…

Computation and Language · Computer Science 2024-12-12 Chujie Gao , Siyuan Wu , Yue Huang , Dongping Chen , Qihui Zhang , Zhengyan Fu , Yao Wan , Lichao Sun , Xiangliang Zhang

Studies have underscored how, regardless of the recent breakthrough and swift advances in AI research, even state-of-the-art Large Language models (LLMs) continue to struggle when performing logical and mathematical reasoning. The results…

Artificial Intelligence · Computer Science 2024-12-20 Federico Castagna , Isabel Sassoon , Simon Parsons

We address the problem of translating informal mathematical proofs expressed in natural language into formal proofs in Lean4 under a constrained computational budget. Our approach is grounded in two key insights. First, informal proofs tend…

Logic in Computer Science · Computer Science 2025-12-15 Ziyu Wang , Bowen Yang , Chenyi Li , Yuan Zhang , Shihao Zhou , Bin Dong , Zaiwen Wen

Multi-step reasoning instruction, such as chain-of-thought prompting, is widely adopted to explore better language models (LMs) performance. We report on the systematic strategy that LMs employ in such a multi-step reasoning process. Our…

Computation and Language · Computer Science 2024-10-08 Yoichi Aoki , Keito Kudo , Tatsuki Kuribayashi , Shusaku Sone , Masaya Taniguchi , Keisuke Sakaguchi , Kentaro Inui

Large language models (LLMs) have recently demonstrated impressive performance on complex, multi-step reasoning tasks, especially when post-trained with outcome-rewarded reinforcement learning Guo et al. 2025. However, it has been observed…

Artificial Intelligence · Computer Science 2026-04-01 Luoxin Chen , Yichi Zhou , Huishuai Zhang

Long-context question-answering (LCQA) systems have greatly benefited from the powerful reasoning capabilities of large language models (LLMs), which can be categorized into slow and quick reasoning modes. However, both modes have their…

Computation and Language · Computer Science 2025-04-01 Zhengyi Zhao , Shubo Zhang , Zezhong Wang , Bin Liang , Binyang Li , Kam-Fai Wong

Large language models (LLMs), a recent advance in deep learning and machine intelligence, have manifested astonishing capacities, now considered among the most promising for artificial general intelligence. With human-like capabilities,…

Artificial Intelligence · Computer Science 2025-09-19 Zhilun Zhou , Jing Yi Wang , Nicholas Sukiennik , Chen Gao , Fengli Xu , Yong Li , James Evans

Large language models (LLMs) have exhibited impressive capabilities across a myriad of tasks, yet they occasionally yield undesirable outputs. We posit that these limitations are rooted in the foundational autoregressive architecture of…

Computation and Language · Computer Science 2025-03-03 Cheng Yang , Chufan Shi , Siheng Li , Bo Shui , Yujiu Yang , Wai Lam

There is increasing interest in using LLMs as decision-making "agents." Doing so includes many degrees of freedom: which model should be used; how should it be prompted; should it be asked to introspect, conduct chain-of-thought reasoning,…

Computation and Language · Computer Science 2024-05-29 Narun Raman , Taylor Lundy , Samuel Amouyal , Yoav Levine , Kevin Leyton-Brown , Moshe Tennenholtz

Ensuring the reliability of Large Language Models (LLMs) in complex reasoning tasks remains a formidable challenge, particularly in scenarios that demand precise mathematical calculations and knowledge-intensive open-domain generation. In…

Machine Learning · Computer Science 2025-05-27 Ali Razghandi , Seyed Mohammad Hadi Hosseini , Mahdieh Soleymani Baghshah

Large language models (LLMs) have demonstrated outstanding performance across various tasks, yet they still exhibit limitations such as hallucination, unfaithful reasoning, and toxic content. One potential approach to mitigate these issues…

Computation and Language · Computer Science 2024-07-19 Yuxuan Yao , Han Wu , Zhijiang Guo , Biyan Zhou , Jiahui Gao , Sichun Luo , Hanxu Hou , Xiaojin Fu , Linqi Song
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