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Large language models (LLMs) achieve strong performance by generating long chains of thought, but longer traces always introduce redundant or ineffective reasoning steps. One typical behavior is that they often perform unnecessary…

Computation and Language · Computer Science 2026-01-13 Jinyi Han , Zixiang Di , Zishang Jiang , Ying Liao , Jiaqing Liang , Yongqi Wang , Yanghua Xiao

Large language models (LLMs) have shown impressive performance by generating reasoning paths before final answers, but learning such a reasoning path requires costly human supervision. To address this issue, recent studies have explored…

Machine Learning · Computer Science 2025-05-26 Hyosoon Jang , Yunhui Jang , Sungjae Lee , Jungseul Ok , Sungsoo Ahn

Large Language Models (LLMs) have demonstrated significant promise in formal theorem proving. In this study, we investigate the ability of LLMs to discover novel theorems and produce verified proofs. We propose a pipeline called…

Machine Learning · Computer Science 2026-05-07 Kazumi Kasaura , Naoto Onda , Yuta Oriike , Masaya Taniguchi , Akiyoshi Sannai , Sho Sonoda

Explicit reasoning models are trained to produce intermediate reasoning traces before final answers, but downstream fine-tuning is often performed on ordinary instruction-response data that contains no such traces. We show that this…

Machine Learning · Computer Science 2026-05-21 Lukas Twist , Helen Yannakoudakis , Jie M. Zhang

In recent years, large language models (LLMs) have witnessed remarkable advancements, with the test-time scaling law consistently enhancing the reasoning capabilities. Through systematic evaluation and exploration of a diverse spectrum of…

Computation and Language · Computer Science 2025-11-03 Chenyang Shao , Sijian Ren , Fengli Xu , Yong Li

In reasoning tasks, even a minor error can cascade into inaccurate results, leading to suboptimal performance of large language models in such domains. Earlier fine-tuning approaches sought to mitigate this by leveraging more precise…

Computation and Language · Computer Science 2024-07-12 Changyu Chen , Xiting Wang , Ting-En Lin , Ang Lv , Yuchuan Wu , Xin Gao , Ji-Rong Wen , Rui Yan , Yongbin Li

Humans ponder before articulating complex sentence elements, enabling deeper cognitive processing through focused effort. In this work, we introduce this pondering process into language models by repeatedly invoking the forward process…

Computation and Language · Computer Science 2026-02-23 Boyi Zeng , Shixiang Song , Siyuan Huang , Yixuan Wang , He Li , Ziwei He , Xinbing Wang , Zhiyu Li , Zhouhan Lin

LLMs can solve complex tasks by generating long, multi-step reasoning chains. Test-time scaling (TTS) can further improve performance by sampling multiple variants of intermediate reasoning steps, verifying their correctness, and selecting…

Large Language Models (LLMs) have demonstrated remarkable progress in complex reasoning tasks through both post-training and test-time scaling laws. While prevalent test-time scaling approaches are often realized by using external reward…

Machine Learning · Computer Science 2025-10-31 Fuxiang Zhang , Jiacheng Xu , Chaojie Wang , Ce Cui , Yang Liu , Bo An

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

Artificial intelligence assisted mathematical proof has become a highly focused area nowadays. One key problem in this field is to generate formal mathematical proofs from natural language proofs. Due to historical reasons, the formal proof…

Programming Languages · Computer Science 2024-05-14 Lihan Xie , Zhicheng Hui , Qinxiang Cao

Mathematical reasoning has been challenging for large language models (LLMs), and the introduction of step-by-step Chain-of-Thought (CoT) inference has significantly advanced the mathematical capabilities of LLMs. However, current…

Artificial Intelligence · Computer Science 2025-09-23 Lang Cao , Yingtian Zou , Chao Peng , Renhong Chen , Wu Ning , Yitong Li

Language models often achieve higher accuracy when reasoning step-by-step in complex tasks. However, even when arriving at a correct final answer, their rationales are often logically unsound or inconsistent. This is a major issue when…

Artificial Intelligence · Computer Science 2023-11-09 Gabriel Poesia , Kanishk Gandhi , Eric Zelikman , Noah D. Goodman

While recent advances in large reasoning models have demonstrated remarkable performance, efficient reasoning remains critical due to the rapid growth of output length. Existing optimization approaches highlights a tendency toward…

Computation and Language · Computer Science 2025-06-17 Kaiyuan Liu , Chen Shen , Zhanwei Zhang , Junjie Liu , Xiaosong Yuan , Jieping ye

Many applications of large language models (LLMs) require deductive reasoning, yet models frequently produce incorrect or redundant inference steps. We frame natural language inference as a search problem where the final answer is the valid…

Artificial Intelligence · Computer Science 2026-05-26 Andreas Opedal , Francesco Ignazio Re , Abulhair Saparov , Mrinmaya Sachan , Bernhard Schölkopf , Ryan Cotterell

Neural theorem proving combines large language models (LLMs) with proof assistants such as Lean, where the correctness of formal proofs can be rigorously verified, leaving no room for hallucination. With existing neural theorem provers…

Artificial Intelligence · Computer Science 2025-05-13 Peiyang Song , Kaiyu Yang , Anima Anandkumar

The prevailing approach to distilling reasoning from Large Language Models (LLMs)-behavioral cloning from textual rationales-is fundamentally limited. It teaches Small Language Models (SLMs) to mimic surface-level patterns rather than the…

Artificial Intelligence · Computer Science 2025-10-02 Xiangyu Wen , Junhua Huang , Zeju Li , Min Li , Jianyuan Zhong , Zhijian Xu , Mingxuan Yuan , Yongxiang Huang , Qiang Xu

Many video reasoning tasks require tracking motion, temporal order, and evolving visual states across frames. Existing methods built on large vision-language models (LVLMs) often address this challenge by externalizing reasoning through…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Yiming Liang , Yixiao Chen , Yiyang Zhou , Yixuan Wang , Shoubin Yu , Andong Deng , Fuxiao Liu , Qin Zhang , Chen Chen , Mohit Bansal , Huaxiu Yao

Large Language Models (LLMs) have emerged as powerful tools for generating coherent text, understanding context, and performing reasoning tasks. However, they struggle with temporal reasoning, which requires processing time-related…

Machine Learning · Computer Science 2025-06-02 Adrián Bazaga , Rexhina Blloshmi , Bill Byrne , Adrià de Gispert

When prompted to think step-by-step, language models (LMs) produce a chain of thought (CoT), a sequence of reasoning steps that the model supposedly used to produce its prediction. Despite much work on CoT prompting, it is unclear if…

Computation and Language · Computer Science 2025-12-16 Martin Tutek , Fateme Hashemi Chaleshtori , Ana Marasović , Yonatan Belinkov