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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

Large Language Models (LLMs) excel in reasoning tasks through Chain-of-Thought (CoT) prompting. However, CoT prompting greatly increases computational demands, which has prompted growing interest in distilling CoT capabilities into Small…

Computation and Language · Computer Science 2025-05-28 Xinghao Chen , Zhijing Sun , Wenjin Guo , Miaoran Zhang , Yanjun Chen , Yirong Sun , Hui Su , Yijie Pan , Dietrich Klakow , Wenjie Li , Xiaoyu Shen

Hybrid thinking enables LLMs to switch between reasoning and direct answering, offering a balance between efficiency and reasoning capability. Yet our experiments reveal that current hybrid thinking LLMs only achieve partial mode…

Machine Learning · Computer Science 2025-10-15 Shouren Wang , Wang Yang , Xianxuan Long , Qifan Wang , Vipin Chaudhary , Xiaotian Han

Chain-of-thought (CoT) reasoning has enabled large language models (LLMs) to utilize additional computation through intermediate tokens to solve complex tasks. However, we posit that typical reasoning traces contain many redundant tokens,…

Computation and Language · Computer Science 2025-06-11 Tergel Munkhbat , Namgyu Ho , Seo Hyun Kim , Yongjin Yang , Yujin Kim , Se-Young Yun

Reasoning LLMs (RLLMs) generate step-by-step chains of thought (CoTs) before giving an answer, which improves performance on complex tasks and makes reasoning more transparent. But how robust are these reasoning traces to disruptions that…

Artificial Intelligence · Computer Science 2026-02-10 Alexander von Recum , Leander Girrbach , Zeynep Akata

Reasoning encompasses two typical types: deductive reasoning and inductive reasoning. Despite extensive research into the reasoning capabilities of Large Language Models (LLMs), most studies have failed to rigorously differentiate between…

Artificial Intelligence · Computer Science 2024-08-08 Kewei Cheng , Jingfeng Yang , Haoming Jiang , Zhengyang Wang , Binxuan Huang , Ruirui Li , Shiyang Li , Zheng Li , Yifan Gao , Xian Li , Bing Yin , Yizhou Sun

The inherent capabilities of a language model (LM) and the reasoning strategies it employs jointly determine its performance in reasoning tasks. While test-time scaling is regarded as an effective approach to tackling complex reasoning…

Computation and Language · Computer Science 2025-05-27 Zhihong Pan , Kai Zhang , Yuze Zhao , Yupeng Han

Reinforcement learning with verifiable rewards (RLVR) has significantly boosted the reasoning capability of language models (LMs). However, existing RLVR approaches train LMs based on their own on-policy responses and are constrained by the…

Machine Learning · Computer Science 2026-04-17 Chenming Tang , Hsiu-Yuan Huang , Weijie Liu , Clive Bai , Saiyong Yang , Yunfang Wu

Large Language Models (LLMs) are known to acquire reasoning capabilities through shared inference patterns in pre-training data, which are further elicited via Chain-of-Thought (CoT) practices. However, whether fundamental reasoning…

Computation and Language · Computer Science 2026-05-28 Xingwei Tan , Marco Valentino , Mahmud Elahi Akhter , Yuxiang Zhou , Maria Liakata , Nikolaos Aletras

Large language models (LLMs) have advanced general-purpose reasoning, showing strong performance across diverse tasks. However, existing methods often rely on implicit exploration, where the model follows stochastic and unguided reasoning…

Artificial Intelligence · Computer Science 2025-09-09 Jiaxiang Chen , Zhuo Wang , Mingxi Zou , Zhucong Li , Zhijian Zhou , Song Wang , Zenglin Xu

Test-time scaling, which leverages additional computation during inference to improve model accuracy, has enabled a new class of Large Language Models (LLMs) that are able to reason through complex problems by understanding the goal,…

Computation and Language · Computer Science 2025-11-25 Shaltiel Shmidman , Asher Fredman , Oleg Sudakov , Meriem Bendris

In recent months, substantial progress has been made in complex reasoning of Large Language Models, particularly through the application of test-time scaling. Notable examples include o1/o3/o4 series and DeepSeek-R1. When responding to a…

Artificial Intelligence · Computer Science 2025-08-28 Xifeng Yao , Chengyuan Ma , Dongyu Lang , Yinhao Ni , Zhiwei Xu , Huarui Xie , Zihao Chen , Guang Shen , Dandan Tu , Yi Bai , Changzheng Zhang

Large language models (LLMs) are typically trained by reinforcement learning (RL) with verifiable rewards (RLVR) and supervised fine-tuning (SFT) on reasoning traces to improve their reasoning abilities. However, how these methods shape…

Artificial Intelligence · Computer Science 2026-05-28 Kohsei Matsutani , Shota Takashiro , Gouki Minegishi , Takeshi Kojima , Yusuke Iwasawa , Yutaka Matsuo

We study how large language models (LLMs) reason about memorized knowledge through simple binary relations such as equality ($=$), inequality ($<$), and inclusion ($\subset$). Unlike in-context reasoning, the axioms (e.g., $a < b, b < c$)…

Machine Learning · Computer Science 2025-09-18 Jonathan Shaki , Emanuele La Malfa , Michael Wooldridge , Sarit Kraus

Logical reasoning serve as a central capability in LLMs and includes three main forms: deductive, inductive, and abductive reasoning. In this work, we study the knowledge representations of these reasoning types in LLMs and analyze the…

Computation and Language · Computer Science 2026-04-28 Zixuan Wang , Yuanyuan Lei

Recent reinforcement learning (RL) techniques have yielded impressive reasoning improvements in language models, yet it remains unclear whether post-training truly extends a model's reasoning ability beyond what it acquires during…

Computation and Language · Computer Science 2025-12-09 Charlie Zhang , Graham Neubig , Xiang Yue

Analogical reasoning -- the capacity to identify and map structural relationships between different domains -- is fundamental to human cognition and learning. Recent studies have shown that large language models (LLMs) can sometimes match…

Computation and Language · Computer Science 2025-11-21 Sam Musker , Alex Duchnowski , Raphaël Millière , Ellie Pavlick

Reinforcement learning for LLM reasoning has rapidly emerged as a prominent research area, marked by a significant surge in related studies on both algorithmic innovations and practical applications. Despite this progress, several critical…

Looped Language Models (LoopLMs) perform multi-step latent reasoning prior to token generation and outperform conventional LLMs on reasoning benchmarks at smaller parameter budgets. However, attempts to further improve LoopLM reasoning with…

Machine Learning · Computer Science 2026-05-29 Jonathan Williams , Esin Tureci

Logical reasoning is a critical benchmark for evaluating the capabilities of large language models (LLMs), as it reflects their ability to derive valid conclusions from given premises. While the combination of test-time scaling with…

Computation and Language · Computer Science 2025-08-28 Ramya Keerthy Thatikonda , Wray Buntine , Ehsan Shareghi