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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

Recent advancements in Large Language Models (LLMs) have significantly improved their problem-solving capabilities. However, these models still struggle when faced with complex multi-step reasoning tasks. In this paper, we propose the…

Computation and Language · Computer Science 2025-12-04 André de Souza Loureiro , Jorge Valverde-Rebaza , Julieta Noguez , David Escarcega , Ricardo Marcacini

Pre-trained language models (LMs) have shown remarkable reasoning performance using explanations or chain-of-thoughts (CoT)) for in-context learning. On the other hand, these reasoning tasks are usually presumed to be more approachable for…

Computation and Language · Computer Science 2024-03-29 Yi-Fan Zhang , Hanlin Zhang , Li Erran Li , Eric Xing

Logical reasoning has been an ongoing pursuit in the field of AI. Despite significant advancements made by large language models (LLMs), they still struggle with complex logical reasoning problems. To enhance reasoning performance, one…

Artificial Intelligence · Computer Science 2024-03-26 Ruixin Hong , Hongming Zhang , Xinyu Pang , Dong Yu , Changshui Zhang

Large Language Models (LLMs) have demonstrated remarkable capabilities across various domains. Math Word Problems (MWPs) serve as a crucial benchmark for evaluating LLMs' reasoning abilities. While most research primarily focuses on…

Computation and Language · Computer Science 2025-09-09 Yuhong Sun , Zhangyue Yin , Xuanjing Huang , Xipeng Qiu , Hui Zhao

Large language models (LLMs) present an opportunity to scale high-quality personalized education to all. A promising approach towards this means is to build dialog tutoring models that scaffold students' problem-solving. However, even…

Computation and Language · Computer Science 2024-07-15 Nico Daheim , Jakub Macina , Manu Kapur , Iryna Gurevych , Mrinmaya Sachan

Logical reasoning consistently plays a fundamental and significant role in the domains of knowledge engineering and artificial intelligence. Recently, Large Language Models (LLMs) have emerged as a noteworthy innovation in natural language…

Computation and Language · Computer Science 2024-09-17 Fangzhi Xu , Qika Lin , Jiawei Han , Tianzhe Zhao , Jun Liu , Erik Cambria

Interactive theorem provers such as Coq are powerful tools to formally guarantee the correctness of software. However, using these tools requires significant manual effort and expertise. While Large Language Models (LLMs) have shown promise…

Software Engineering · Computer Science 2024-09-24 Minghai Lu , Benjamin Delaware , Tianyi Zhang

Mathematical reasoning has long represented one of the most fundamental and challenging frontiers in artificial intelligence research. In recent years, large language models (LLMs) have achieved significant advances in this area. This…

Artificial Intelligence · Computer Science 2025-06-11 Peng-Yuan Wang , Tian-Shuo Liu , Chenyang Wang , Yi-Di Wang , Shu Yan , Cheng-Xing Jia , Xu-Hui Liu , Xin-Wei Chen , Jia-Cheng Xu , Ziniu Li , Yang Yu

Recent advancements in large language models (LLMs) have significantly advanced complex reasoning capabilities, particularly through extended chain-of-thought (CoT) reasoning that incorporates mechanisms such as backtracking,…

Computation and Language · Computer Science 2025-10-21 Baohao Liao , Xinyi Chen , Sara Rajaee , Yuhui Xu , Christian Herold , Anders Søgaard , Maarten de Rijke , Christof Monz

Large Language Models (LLMs) achieve strong performance on logical reasoning benchmarks, yet their reliability remains uncertain. Existing evaluations rely on static benchmarks, which fail to assess robustness under logically equivalent…

Artificial Intelligence · Computer Science 2026-05-26 Zenghui Zhou , Man Li , Xiaoke Fang , Xinyi Zhou , Weibin Li , Zheng Zheng

Large Language Models (LLMs) have demonstrated strong generalization across a wide range of tasks. Reasoning with LLMs is central to solving multi-step problems and complex decision-making. To support efficient reasoning, recent studies…

Computation and Language · Computer Science 2025-09-03 Jindong Li , Yali Fu , Li Fan , Jiahong Liu , Yao Shu , Chengwei Qin , Menglin Yang , Irwin King , Rex Ying

Large Language Models (LLMs) have shown remarkable success on a wide range of math and reasoning benchmarks. However, we observe that they often struggle when faced with unreasonable math problems. Instead of recognizing these issues,…

Computation and Language · Computer Science 2025-06-03 Jingyuan Ma , Damai Dai , Zihang Yuan , Rui li , Weilin Luo , Bin Wang , Qun Liu , Lei Sha , Zhifang Sui

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

Despite the strong reasoning ability of large language models~(LLMs), they are prone to errors and hallucinations. As a result, how to check their outputs effectively and efficiently has become a critical problem in their applications.…

Artificial Intelligence · Computer Science 2025-10-29 Jiayu Liu , Wei Dai , Zhenya Huang , Ning Miao , Enhong Chen

In this paper we examine the limitations of Large Language Models (LLMs) for complex reasoning tasks. Although recent works have started to employ formal languages as an intermediate representation for reasoning tasks, they often face…

Logic in Computer Science · Computer Science 2024-08-07 Shashank Kirtania , Priyanshu Gupta , Arjun Radhakirshna

Large language models (LLMs) demonstrate impressive capabilities in mathematical reasoning. However, despite these achievements, current evaluations are mostly limited to specific mathematical topics, and it remains unclear whether LLMs are…

Computation and Language · Computer Science 2025-04-01 Arash Gholami Davoodi , Seyed Pouyan Mousavi Davoudi , Pouya Pezeshkpour

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

Recent progress in large language models (LLM) found chain-of-thought prompting strategies to improve the reasoning ability of LLMs by encouraging problem solving through multiple steps. Therefore, subsequent research aimed to integrate the…

Computation and Language · Computer Science 2025-02-21 Ting-Ruen Wei , Haowei Liu , Xuyang Wu , Yi Fang

Formal reasoning and automated theorem proving constitute a challenging subfield of machine learning, in which machines are tasked with proving mathematical theorems using formal languages like Lean. A formal verification system can check…

Artificial Intelligence · Computer Science 2025-11-05 Azim Ospanov , Farzan Farnia , Roozbeh Yousefzadeh