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Scaling inference compute enhances reasoning in large language models (LLMs), with long chains-of-thought (CoTs) enabling strategies like backtracking and error correction. Reinforcement learning (RL) has emerged as a crucial method for…

Computation and Language · Computer Science 2025-02-06 Edward Yeo , Yuxuan Tong , Morry Niu , Graham Neubig , Xiang Yue

There is a growing trend of teaching large language models (LLMs) to solve mathematical problems through coding. Existing studies primarily focus on prompting powerful, closed-source models to generate seed training data followed by…

Computation and Language · Computer Science 2024-08-29 Dian Yu , Baolin Peng , Ye Tian , Linfeng Song , Haitao Mi , Dong Yu

Recent years have witnessed significant progress in large language models' (LLMs) reasoning, which is largely due to the chain-of-thought (CoT) approaches, allowing models to generate intermediate reasoning steps before reaching the final…

Computation and Language · Computer Science 2025-04-15 Zuoli Tang , Junjie Ou , Kaiqin Hu , Chunwei Wu , Zhaoxin Huan , Chilin Fu , Xiaolu Zhang , Jun Zhou , Chenliang Li

The evaluation of mathematical reasoning capabilities is essential for advancing Artificial General Intelligence (AGI). While Large Language Models (LLMs) have shown impressive performance in solving mathematical problems, existing…

Computation and Language · Computer Science 2025-01-15 Bo Yang , Qingping Yang , Yingwei Ma , Runtao Liu

With instruction tuning, Large Language Models (LLMs) can enhance their ability to adhere to commands. Diverging from most works focusing on data mixing, our study concentrates on enhancing the model's capabilities from the perspective of…

Computation and Language · Computer Science 2024-10-07 Jun Rao , Xuebo Liu , Lian Lian , Shengjun Cheng , Yunjie Liao , Min Zhang

Large language models (LLMs) equipped with chain-of-thought (CoT) achieve strong performance and offer a window into LLM behavior. However, recent evidence suggests that improvements in CoT capabilities often come with redundant reasoning…

Computation and Language · Computer Science 2026-02-03 Yanrui Du , Sendong Zhao , Yibo Gao , Danyang Zhao , Qika Lin , Ming Ma , Jiayun Li , Yi Jiang , Kai He , Qianyi Xu , Bing Qin , Mengling Feng

Recent advancements in Large Language Models (LLMs) have showcased striking results on existing logical reasoning benchmarks, with some models even surpassing human performance. However, the true depth of their competencies and robustness…

Computation and Language · Computer Science 2024-11-05 Pengfei Hong , Navonil Majumder , Deepanway Ghosal , Somak Aditya , Rada Mihalcea , Soujanya Poria

Mathematical reasoning remains a challenging area for large language models (LLMs), prompting the development of math-specific LLMs such as LLEMMA, DeepSeekMath, and Qwen2-Math, among others. These models typically follow a two-stage…

Computation and Language · Computer Science 2025-03-25 Zui Chen , Tianqiao Liu , Mi Tian , Qing Tong , Weiqi Luo , Zitao Liu

Large Language Models (LLMs) have been widely used to automate programming tasks. Their capabilities have been evaluated by assessing the quality of generated code through tests or proofs. The extent to which they can reason about code is a…

Software Engineering · Computer Science 2026-04-08 Changshu Liu , Yang Chen , Reyhaneh Jabbarvand

Reasoning capabilities of large language models are primarily studied for English, even when pretrained models are multilingual. In this work, we investigate to what extent English reasoning finetuning with long chain-of-thoughts (CoTs) can…

We introduce a novel framework, LM-Guided CoT, that leverages a lightweight (i.e., <1B) language model (LM) for guiding a black-box large (i.e., >10B) LM in reasoning tasks. Specifically, the lightweight LM first generates a rationale for…

Computation and Language · Computer Science 2024-04-05 Jooyoung Lee , Fan Yang , Thanh Tran , Qian Hu , Emre Barut , Kai-Wei Chang , Chengwei Su

Leveraging mathematical Large Language Models (LLMs) for proof generation is a fundamental topic in LLMs research. We argue that the ability of current LLMs to prove statements largely depends on whether they have encountered the relevant…

Reasoning is critical for large language models (LLMs) to excel in a wide range of tasks. While methods like Chain-of-Thought (CoT) reasoning and enhance LLM performance by decomposing problems into intermediate steps, they also incur…

Computation and Language · Computer Science 2025-06-03 Tingxu Han , Zhenting Wang , Chunrong Fang , Shiyu Zhao , Shiqing Ma , Zhenyu Chen

We introduce a large language model (LLM) based approach to answer complex questions requiring multi-hop numerical reasoning over financial reports. While LLMs have exhibited remarkable performance on various natural language and reasoning…

Computation and Language · Computer Science 2023-11-28 Karmvir Singh Phogat , Chetan Harsha , Sridhar Dasaratha , Shashishekar Ramakrishna , Sai Akhil Puranam

Large Language Models (LLMs) have recently made significant advances in code generation through the 'Chain-of-Thought' prompting technique. This technique empowers the model to autonomously devise "solution plans" to tackle intricate…

Software Engineering · Computer Science 2024-03-21 Zhihong Sun , Chen Lyu , Bolun Li , Yao Wan , Hongyu Zhang , Ge Li , Zhi Jin

Recent advancements in Large Language Models (LLMs) have significantly enhanced their ability to perform complex reasoning tasks, transitioning from fast and intuitive thinking (System 1) to slow and deep reasoning (System 2). While System…

Computation and Language · Computer Science 2025-04-01 Rui Wang , Hongru Wang , Boyang Xue , Jianhui Pang , Shudong Liu , Yi Chen , Jiahao Qiu , Derek Fai Wong , Heng Ji , Kam-Fai Wong

A common approach for teaching large language models (LLMs) to reason is to train on chain-of-thought (CoT) traces of in-distribution reasoning problems, but such annotated data is costly to obtain for every problem of interest. We want…

Computation and Language · Computer Science 2025-05-29 Fangcong Yin , Zeyu Leo Liu , Liu Leqi , Xi Ye , Greg Durrett

Large Language Models (LLMs) with reasoning capabilities have achieved state-of-the-art performance on a wide range of tasks. Despite its empirical success, the tasks and model scales at which reasoning becomes effective, as well as its…

Computation and Language · Computer Science 2025-09-29 Nicolas Boizard , Hippolyte Gisserot-Boukhlef , Kevin El-Haddad , Céline Hudelot , Pierre Colombo

Large Language Models (LLMs) often struggle with complex mathematical reasoning, where prose-based generation leads to unverified and arithmetically unsound solutions. Current prompting strategies like Chain of Thought still operate within…

Computation and Language · Computer Science 2026-01-27 Sina Bagheri Nezhad , Yao Li , Ameeta Agrawal

Recent advancements in Chain-of-Thoughts (CoT) and Program-of-Thoughts (PoT) methods have greatly enhanced language models' mathematical reasoning capabilities, facilitating their integration into instruction tuning datasets with LLMs.…

Machine Learning · Computer Science 2024-08-15 Bo-Wen Zhang , Yan Yan , Lin Li , Guang Liu