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Large Language Models (LLMs) have succeeded remarkably in various natural language processing (NLP) tasks, yet their reasoning capabilities remain a fundamental challenge. While LLMs exhibit impressive fluency and factual recall, their…

Computation and Language · Computer Science 2025-05-29 Avinash Patil , Aryan Jadon

Large Language Models (LLMs) are increasingly deployed in critical applications requiring reliable reasoning, yet their internal reasoning processes remain difficult to evaluate systematically. Existing methods focus on final-answer…

Machine Learning · Computer Science 2026-02-03 Shaima Ahmad Freja , Ferhat Ozgur Catak , Betul Yurdem , Chunming Rong

Logical reasoning is a fundamental aspect of human intelligence and a key component of tasks like problem-solving and decision-making. Recent advancements have enabled Large Language Models (LLMs) to potentially exhibit reasoning…

Computation and Language · Computer Science 2023-11-13 Jiazhan Feng , Ruochen Xu , Junheng Hao , Hiteshi Sharma , Yelong Shen , Dongyan Zhao , Weizhu Chen

Resolving complex information needs that come with multiple constraints should consider enforcing the logical operators encoded in the query (i.e., conjunction, disjunction, negation) on the candidate answer set. Current retrieval systems…

Information Retrieval · Computer Science 2026-02-02 Mohanna Hoveyda , Jelle Piepenbrock , Arjen P de Vries , Maarten de Rijke , Faegheh Hasibi

Instructing large language models (LLMs) to solve elementary school math problems has shown great success using Chain of Thought (CoT). However, the CoT approach relies on an LLM to generate a sequence of arithmetic calculations which can…

Computation and Language · Computer Science 2024-05-29 Xiaocheng Yang , Bingsen Chen , Yik-Cheung Tam

Large Language Models (LLMs) demonstrate impressive mathematical reasoning abilities, but their solutions frequently contain errors that cannot be automatically checked. Formal theorem proving systems such as Lean 4 offer automated…

Artificial Intelligence · Computer Science 2026-03-18 Sumanth Varambally , Thomas Voice , Yanchao Sun , Zhifeng Chen , Rose Yu , Ke Ye

Despite significant advancements, current large language models (LLMs) and vision-language models (LVLMs) continue to struggle with complex, multi-step, cross-modal common sense reasoning tasks, often exhibiting a lack of "deliberative…

Computation and Language · Computer Science 2025-08-06 Wenjie Luo , Ruocheng Li , Shanshan Zhu , Julian Perry

Large Language Models (LLMs) have achieved remarkable success in tasks requiring complex reasoning, such as code generation, mathematical problem solving, and algorithmic synthesis -- especially when aided by reasoning tokens and…

Computation and Language · Computer Science 2025-06-13 Jaechul Roh , Varun Gandhi , Shivani Anilkumar , Arin Garg

In this paper we demonstrate how logic programming systems and Automated first-order logic Theorem Provers (ATPs) can improve the accuracy of Large Language Models (LLMs) for logical reasoning tasks where the baseline performance is given…

Artificial Intelligence · Computer Science 2024-08-08 Lachlan McGinness , Peter Baumgartner

Constrained decoding approaches aim to control the meaning or style of text generated by the pre-trained large language models (LLMs or also PLMs) for various tasks at inference time. However, these methods often guide plausible…

Computation and Language · Computer Science 2025-05-06 Chen Xu , Tian Lan , Yu Ji , Changlong Yu , Wei Wang , Jun Gao , Qunxi Dong , Kun Qian , Piji Li , Wei Bi , Bin Hu

Prompting techniques have significantly enhanced the capabilities of Large Language Models (LLMs) across various complex tasks, including reasoning, planning, and solving math word problems. However, most research has predominantly focused…

Computation and Language · Computer Science 2024-05-24 Neisarg Dave , Daniel Kifer , C. Lee Giles , Ankur Mali

Temporal reasoning is fundamental for large language models (LLMs) to comprehend the world. Current temporal reasoning datasets are limited to questions about single or isolated events, falling short in mirroring the realistic temporal…

Computation and Language · Computer Science 2024-06-14 Zhaochen Su , Juntao Li , Jun Zhang , Tong Zhu , Xiaoye Qu , Pan Zhou , Yan Bowen , Yu Cheng , Min zhang

Large Language Models (LLMs) have demonstrated remarkable capabilities across various tasks but their performance in complex logical reasoning tasks remains unsatisfactory. Although some prompting methods, such as Chain-of-Thought, can…

Computation and Language · Computer Science 2025-02-10 Tongxuan Liu , Wenjiang Xu , Weizhe Huang , Yuting Zeng , Jiaxing Wang , Xingyu Wang , Hailong Yang , Jing Li

This work introduces Symbolic-Aided Chain-of-Thought (CoT), an improved approach to standard CoT, for logical reasoning in large language models (LLMs). The key idea is to integrate lightweight symbolic representations into few-shot…

Artificial Intelligence · Computer Science 2025-10-07 Phuong Minh Nguyen , Tien Huu Dang , Naoya Inoue

Large Language Models (LLMs) show remarkable capabilities, yet their stochastic next-token prediction creates logical inconsistencies and reward hacking that formal symbolic systems avoid. To bridge this gap, we introduce a formal logic…

Machine Learning · Computer Science 2026-02-02 Chuxue Cao , Jinluan Yang , Haoran Li , Kunhao Pan , Zijian Zhao , Zhengyu Chen , Yuchen Tian , Lijun Wu , Conghui He , Sirui Han , Yike Guo

Large Language Models (LLMs) demonstrate enhanced capabilities and reliability by reasoning more, evolving from Chain-of-Thought prompting to product-level solutions like OpenAI o1. Despite various efforts to improve LLM reasoning,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-05 Yuhao Dong , Zuyan Liu , Hai-Long Sun , Jingkang Yang , Winston Hu , Yongming Rao , Ziwei Liu

Despite significant advancements in the general capability of large language models (LLMs), they continue to struggle with consistent and accurate reasoning, especially in complex tasks such as mathematical and code reasoning. One key…

Machine Learning · Computer Science 2024-10-10 Zhenwen Liang , Ye Liu , Tong Niu , Xiangliang Zhang , Yingbo Zhou , Semih Yavuz

Large language models have demonstrated substantial advancements in reasoning capabilities. However, current Vision-Language Models (VLMs) often struggle to perform systematic and structured reasoning, especially when handling complex…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Guowei Xu , Peng Jin , Ziang Wu , Hao Li , Yibing Song , Lichao Sun , Li Yuan

Reasoning-oriented Large Language Models (LLMs) often rely on generating explicit tokens step by step, and their effectiveness typically hinges on large-scale supervised fine-tuning or reinforcement learning. While Chain-of-Thought (CoT)…

Computation and Language · Computer Science 2025-09-30 Haoyu Zheng , Zhuonan Wang , Yuqian Yuan , Tianwei Lin , Wenqiao Zhang , Zheqi Lv , Juncheng Li , Siliang Tang , Yueting Zhuang , Hongyang He

General-purpose Large Language Models (LLMs) have achieved remarkable success in intelligence, performing comparably to human experts on complex reasoning tasks such as coding and mathematical reasoning. However, generating formal proofs in…