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When working on intelligent tutor systems designed for mathematics education and its specificities, an interesting objective is to provide relevant help to the students by anticipating their next steps. This can only be done by knowing,…

Artificial Intelligence · Computer Science 2020-03-02 Ludovic Font , Sébastien Cyr , Philippe R. Richard , Michel Gagnon

As large language models (LLMs) perform more difficult tasks, it becomes harder to verify the correctness and safety of their behavior. One approach to help with this issue is to prompt LLMs to externalize their reasoning, e.g., by having…

Recent advances in test-time scaling have enabled Large Language Models (LLMs) to display sophisticated reasoning abilities via extended Chain-of-Thought (CoT) generation. Despite their potential, these Reasoning LLMs (RLMs) often…

Computation and Language · Computer Science 2025-05-21 Zhen Xiong , Yujun Cai , Zhecheng Li , Yiwei Wang

Large Language Models (LLMs) have revolutionized natural language processing and hold immense potential for advancing Artificial Intelligence. However, the core architecture of most mainstream LLMs -- the Transformer -- has inherent…

Computation and Language · Computer Science 2024-10-21 Xiang Zhang , Dujian Ding

Chain-of-thought (CoT) traces have been shown to improve performance of large language models on a plethora of reasoning tasks, yet there is no consensus on the mechanism by which this boost is achieved. To shed more light on this, we…

Computation and Language · Computer Science 2026-01-21 Soumadeep Saha , Akshay Chaturvedi , Saptarshi Saha , Utpal Garain , Nicholas Asher

Chain-of-Thought (CoT) prompting has shown promise in enhancing the reasoning capabilities of large language models (LLMs) by generating natural language (NL) rationales that lead to the final answer. However, it struggles with numerical…

Artificial Intelligence · Computer Science 2025-02-13 Cheryl Li , Tianyuan Xu , Yiwen Guo

Large language models (LLMs) are often equipped with multi-sample decoding strategies. An LLM implicitly defines an arithmetic code book, facilitating efficient and embarrassingly parallelizable \textbf{arithmetic sampling} to produce…

Artificial Intelligence · Computer Science 2025-04-29 Aditya Parashar , Aditya Vikram Singh , Avinash Amballa , Jinlin Lai , Benjamin Rozonoyer

Large language models (LLMs) have made impressive progress in handling simple math problems, yet they still struggle with more challenging and complex mathematical tasks. In this paper, we introduce a series of LLMs that employs the…

Computation and Language · Computer Science 2024-07-18 Chengpeng Li , Guanting Dong , Mingfeng Xue , Ru Peng , Xiang Wang , Dayiheng Liu

Large Language Models (LLMs) have demonstrated remarkable performance across multiple tasks through in-context learning. For complex reasoning tasks that require step-by-step thinking, Chain-of-Thought (CoT) prompting has given impressive…

Computation and Language · Computer Science 2024-10-10 Armel Zebaze , Benoît Sagot , Rachel Bawden

Large Language Models (LLMs) have shown impressive performance in complex reasoning tasks through the use of Chain-of-Thought (CoT) reasoning, allowing models to break down problems into manageable sub-tasks. However, existing CoT…

Computation and Language · Computer Science 2025-07-11 Jean-Francois Ton , Muhammad Faaiz Taufiq , Yang Liu

The use of Large Language Models (LLMs) in mathematical reasoning has become a cornerstone of related research, demonstrating the intelligence of these models and enabling potential practical applications through their advanced performance,…

Computation and Language · Computer Science 2024-12-20 Kathrin Seßler , Yao Rong , Emek Gözlüklü , Enkelejda Kasneci

This study focuses on improving the performance of lightweight Large Language Models (LLMs) in mathematical reasoning tasks. We introduce a novel method for measuring mathematical logic similarity and design an automatic screening mechanism…

Computation and Language · Computer Science 2024-09-04 Ding Kai , Ma Zhenguo , Yan Xiaoran

Large language models (LLMs) make remarkable progress in reasoning tasks. Among different reasoning modes, inductive reasoning, due to its better alignment with human learning, attracts increasing interest. However, research on inductive…

Computation and Language · Computer Science 2025-10-17 Kedi Chen , Zhikai Lei , Xu Guo , Xuecheng Wu , Siyuan Zeng , Jianghao Yin , Yinqi Zhang , Qin Chen , Jie Zhou , Liang He , Qipeng Guo , Kai Chen , Wei Zhang

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

Concolic testing mixes symbolic and concrete execution to generate test cases covering paths effectively. Its benefits have been demonstrated for more than 15 years to test imperative programs. Other programming paradigms, like logic…

Logic in Computer Science · Computer Science 2020-02-18 Sophie Fortz , Fred Mesnard , Etienne Payet , Gilles Perrouin , Wim Vanhoof , German Vidal

Mathematical reasoning in Large Language Models (LLMs) is often evaluated using benchmarks with limited numerical ranges, failing to reflect real-world problem-solving across diverse scales. Furthermore, most existing evaluation methods…

Machine Learning · Computer Science 2025-02-14 Safal Shrestha , Minwu Kim , Keith Ross

Automatically generating high-quality step-by-step solutions to math word problems has many applications in education. Recently, combining large language models (LLMs) with external tools to perform complex reasoning and calculation has…

Computation and Language · Computer Science 2023-04-19 Joy He-Yueya , Gabriel Poesia , Rose E. Wang , Noah D. Goodman

Recent advances in Large Language Models (LLMs) and Vision Language Models (VLMs) have shown significant progress in mathematical reasoning, yet they still face a critical bottleneck with problems requiring visual assistance, such as…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Chengqi Duan , Kaiyue Sun , Rongyao Fang , Manyuan Zhang , Yan Feng , Ying Luo , Yufang Liu , Ke Wang , Peng Pei , Xunliang Cai , Hongsheng Li , Yi Ma , Xihui Liu

Large language models (LLMs) solve problems more accurately and interpretably when instructed to work out the answer step by step using a ``chain-of-thought'' (CoT) prompt. One can also improve LLMs' performance on a specific task by…

Final-answer-based metrics are commonly used for evaluating large language models (LLMs) on math word problems, often taken as proxies for reasoning ability. However, such metrics conflate two distinct sub-skills: abstract formulation…

Computation and Language · Computer Science 2025-05-30 Ziling Cheng , Meng Cao , Leila Pishdad , Yanshuai Cao , Jackie Chi Kit Cheung