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Large language models (LLMs) have achieved remarkable progress on mathematical tasks through Chain-of-Thought (CoT) reasoning. However, existing mathematical CoT datasets often suffer from Thought Leaps due to experts omitting intermediate…

Computation and Language · Computer Science 2025-12-01 Haolei Xu , Yuchen Yan , Yongliang Shen , Wenqi Zhang , Guiyang Hou , Shengpei Jiang , Kaitao Song , Weiming Lu , Jun Xiao , Yueting Zhuang

Despite the significant improvements achieved by large language models (LLMs) in English reasoning tasks, these models continue to struggle with multilingual reasoning. Recent studies leverage a full-parameter and two-stage training…

Computation and Language · Computer Science 2025-01-08 Yuchun Fan , Yongyu Mu , Yilin Wang , Lei Huang , Junhao Ruan , Bei Li , Tong Xiao , Shujian Huang , Xiaocheng Feng , Jingbo Zhu

Most current large language models (LLMs) support a wide variety of languages in addition to English, including high-resource languages (e.g. German, Chinese, French), as well as low-resource ones (e.g. Swahili, Telugu). In addition they…

Computation and Language · Computer Science 2025-11-10 Jan-Thorsten Peter , David Vilar , Tobias Domhan , Dan Malkin , Markus Freitag

Large reasoning models (LRMs) increasingly rely on step-by-step Chain-of-Thought (CoT) reasoning to improve task performance, particularly in high-resource languages such as English. While recent work has examined final-answer accuracy in…

Computation and Language · Computer Science 2025-10-13 Raoyuan Zhao , Yihong Liu , Hinrich Schütze , Michael A. Hedderich

Explicit Chain-of-Thought improves the reasoning performance of large language models but often incurs high inference cost due to verbose token-level traces. While recent approaches reduce this overhead via concise prompting or step…

Computation and Language · Computer Science 2026-03-09 Yunlong Chu , Minglai Shao , Yuhang Liu , Bing Hao , Yumeng Lin , Jialu Wang , Ruijie Wang

Chain-of-Thought (CoT) and Program-Aided Language Models (PAL) represent two distinct reasoning methods, each with its own strengths. CoT employs natural language, offering flexibility and interpretability, while PAL utilizes programming…

Computation and Language · Computer Science 2023-10-24 James Xu Zhao , Yuxi Xie , Kenji Kawaguchi , Junxian He , Michael Qizhe Xie

Recent developments in reasoning capabilities have enabled large language models to solve increasingly complex mathematical, symbolic, and logical tasks. Interestingly, while reasoning models are often trained to generate monolingual text,…

Computation and Language · Computer Science 2026-04-20 Eleanor M. Lin , David Jurgens

System 2 reasoning is one of the defining characteristics of intelligence, which requires slow and logical thinking. Human conducts System 2 reasoning via the language of thoughts that organizes the reasoning process as a causal sequence of…

Computation and Language · Computer Science 2025-05-20 Chenxi Liu , Yongqiang Chen , Tongliang Liu , James Cheng , Bo Han , Kun Zhang

Chain-of-thought (CoT) is a standard approach for eliciting reasoning capabilities from large language models (LLMs). However, the common CoT paradigm treats thinking as a prerequisite for answering, which can delay access to plausible…

Computation and Language · Computer Science 2026-05-20 Dachuan Shi , Hanlin Zhu , Xiangchi Yuan , Wanjia Zhao , Kejing Xia , Wen Xiao , Wenke Lee

Chain-of-thought (CoT) reasoning improves large language models (LLMs) on difficult tasks, but it also makes inference expensive because every intermediate step must be generated as a discrete token. Latent reasoning reduces visible token…

Computation and Language · Computer Science 2026-05-11 Xuan Li , Yining Wang , Yuchen Liu , Guanjun Liu , Delai Qiu , Shengping Liu , Jiaen Liang , Wei Huang , Jun Yu , Junnan Zhu

Chain-of-thought (CoT) reasoning enhances performance of large language models, but questions remain about whether these reasoning traces faithfully reflect the internal processes of the model. We present the first comprehensive study of…

Computation and Language · Computer Science 2025-11-04 Sriram Balasubramanian , Samyadeep Basu , Soheil Feizi

Test-time scaling has emerged as a widely adopted inference-time strategy for boosting reasoning performance. However, its effectiveness has been studied almost exclusively in English, leaving its behavior in other languages largely…

Computation and Language · Computer Science 2025-05-22 Prasoon Bajpai , Tanmoy Chakraborty

Large language models (LLMs) are typically constrained to reason in the language space, where they express the reasoning process through a chain-of-thought (CoT) to solve complex problems. However, the language space may not always be…

Computation and Language · Computer Science 2025-11-04 Shibo Hao , Sainbayar Sukhbaatar , DiJia Su , Xian Li , Zhiting Hu , Jason Weston , Yuandong Tian

Reinforcement learning with verifiable reward (RLVR) has been instrumental in eliciting strong reasoning capabilities from large language models (LLMs) via long chains of thought (CoT). During RLVR training, we formalize and systemically…

Computation and Language · Computer Science 2026-02-24 Cheonbok Park , Jeonghoon Kim , Joosung Lee , Sanghwan Bae , Jaegul Choo , Kang Min Yoo

Chain-of-thought (CoT) reasoning has exhibited impressive performance in language models for solving complex tasks and answering questions. However, many real-world questions require multi-modal information, such as text and images.…

Artificial Intelligence · Computer Science 2023-12-15 Liqi He , Zuchao Li , Xiantao Cai , Ping Wang

While explicit Chain-of-Thought (CoT) equips Large Language Models (LLMs) with strong reasoning capabilities, it requires models to verbalize every intermediate step in text tokens, constraining the model thoughts to the discrete vocabulary…

Computation and Language · Computer Science 2026-02-12 Weihao Liu , Dehai Min , Lu Cheng

This position paper argues that large language model (LLM) reasoning should be studied as latent-state trajectory formation rather than as faithful surface chain-of-thought (CoT). This matters because claims about faithfulness,…

Artificial Intelligence · Computer Science 2026-04-20 Wenshuo Wang

The significant computational demands of large language models have increased interest in distilling reasoning abilities into smaller models via Chain-of-Thought (CoT) distillation. Current CoT distillation methods mainly focus on…

Computation and Language · Computer Science 2026-04-20 Yao Chen , Jiawei Sheng , Wenyuan Zhang , Tingwen Liu

Large language models (LLMs) can perform reasoning computations both internally within their latent space and externally by generating explicit token sequences like chains of thought. Significant progress in enhancing reasoning abilities…

Computation and Language · Computer Science 2025-04-16 Thilo Hagendorff , Sarah Fabi

Chemical large language models (LLMs) predominantly rely on explicit Chain-of-Thought (CoT) in natural language to perform complex reasoning. However, chemical reasoning is inherently continuous and structural, and forcing it into discrete…