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This paper investigates the capabilities of large language models (LLMs) in formulating and solving decision-making problems using mathematical programming. We first conduct a systematic review and meta-analysis of recent literature to…

Artificial Intelligence · Computer Science 2025-08-26 Mohammad J. Abdel-Rahman , Yasmeen Alslman , Dania Refai , Amro Saleh , Malik A. Abu Loha , Mohammad Yahya Hamed

There emerges a promising trend of using large language models (LLMs) to generate code-like plans for complex inference tasks such as visual reasoning. This paradigm, known as LLM-based planning, provides flexibility in problem solving and…

Computation and Language · Computer Science 2023-08-22 Pengbo Hu , Ji Qi , Xingyu Li , Hong Li , Xinqi Wang , Bing Quan , Ruiyu Wang , Yi Zhou

To break the context limits of large language models (LLMs) that bottleneck reasoning accuracy and efficiency, we propose the Thread Inference Model (TIM), a family of LLMs trained for recursive and decompositional problem solving, and…

Computation and Language · Computer Science 2025-07-23 Hongyin Luo , Nathaniel Morgan , Tina Li , Derek Zhao , Ai Vy Ngo , Philip Schroeder , Lijie Yang , Assaf Ben-Kish , Jack O'Brien , James Glass

Large language models (LLMs) have shown impressive emergent abilities in a wide range of tasks, but the associated expensive API cost greatly limits the real application. Previous works like chain-of-thought (CoT) and tree-of-thoughts (ToT)…

Computation and Language · Computer Science 2024-08-27 Yu Shang , Yu Li , Fengli Xu , Yong Li

The ability to generate diverse solutions to a given problem is a hallmark of human creativity. This divergent reasoning is also crucial for machines, enhancing their robustness and enabling them to assist humans in many applications such…

Artificial Intelligence · Computer Science 2025-05-28 Fangxu Yu , Lai Jiang , Haoqiang Kang , Shibo Hao , Lianhui Qin

In real-world Tool-Integrated Reasoning (TIR) scenarios, where LLMs interleave reasoning with external tool calls, a major source of inefficiency is that the toolcalls create pauses between LLM requests and cause KV-Cache eviction, forcing…

Performance · Computer Science 2026-04-15 Qisheng Su , Shiting Huang , Zhen Fang , Ziyan Chen , Zehui Chen , Feng Zhao

Tasks on complex systems require high-precision numerical computation to support decisions, but current large language models (LLMs) cannot integrate such computations as an intrinsic and interpretable capability with existing…

Machine Learning · Computer Science 2026-04-21 Hengbo Xiao , Jingyuan Fan , Xin Tong , Jingzhao Zhang , Chao Lu , Guannan He

While large language models (LLMs) have demonstrated remarkable reasoning capabilities, they are not without their flaws and inaccuracies. Recent studies have introduced various methods to mitigate these limitations. Temporal reasoning…

Computation and Language · Computer Science 2024-10-10 Siheng Xiong , Ali Payani , Ramana Kompella , Faramarz Fekri

State-of-the-art large language models (LLMs) exhibit impressive problem-solving capabilities but may struggle with complex reasoning and factual correctness. Existing methods harness the strengths of chain-of-thought and…

Computation and Language · Computer Science 2024-10-03 Xingxuan Li , Weiwen Xu , Ruochen Zhao , Fangkai Jiao , Shafiq Joty , Lidong Bing

Despite significant advancements in the general capability of large language models (LLMs), they continue to struggle with consistent and accurate reasoning, especially in complex tasks such as mathematical and code reasoning. One key…

Machine Learning · Computer Science 2024-10-10 Zhenwen Liang , Ye Liu , Tong Niu , Xiangliang Zhang , Yingbo Zhou , Semih Yavuz

While Large Language Models (LLM) enable non-experts to specify open-world multi-robot tasks, the generated plans often lack kinematic feasibility and are not efficient, especially in long-horizon scenarios. Formal methods like Linear…

Robotics · Computer Science 2026-02-11 Shuyuan Hu , Tao Lin , Kai Ye , Yang Yang , Tianwei Zhang

Long chain-of-thought (CoT) significantly enhances the reasoning capabilities of large language models (LLMs). However, extensive reasoning traces lead to inefficiencies and increased time-to-first-token (TTFT). We propose a training…

Computation and Language · Computer Science 2026-01-08 Roy Xie , David Qiu , Deepak Gopinath , Dong Lin , Yanchao Sun , Chong Wang , Saloni Potdar , Bhuwan Dhingra

Chain-of-Thought (CoT) reasoning enhances Large Language Models (LLMs) by prompting intermediate steps, improving accuracy and robustness in arithmetic, logic, and commonsense tasks. However, this benefit comes with high computational…

Software Engineering · Computer Science 2026-03-11 Kerui Huang , Shuhan Liu , Xing Hu , Tongtong Xu , Lingfeng Bao , Xin Xia

Large language models (LLMs) have shown promising first-order logic (FOL) reasoning capabilities with applications in various areas. However, their effectiveness in complex mathematical reasoning involving multi-step FOL deductions is still…

Artificial Intelligence · Computer Science 2025-06-23 Chuxue Cao , Mengze Li , Juntao Dai , Jinluan Yang , Zijian Zhao , Shengyu Zhang , Weijie Shi , Chengzhong Liu , Sirui Han , Yike Guo

Large Reasoning Models (LRMs) like o1 and DeepSeek-R1 have shown remarkable progress in natural language reasoning with long chain-of-thought (CoT), yet they remain inefficient or inaccurate when handling complex mathematical operations.…

Computation and Language · Computer Science 2025-06-13 Chengpeng Li , Zhengyang Tang , Ziniu Li , Mingfeng Xue , Keqin Bao , Tian Ding , Ruoyu Sun , Benyou Wang , Xiang Wang , Junyang Lin , Dayiheng Liu

As large language models (LLMs) advance, their inability to autonomously execute tasks by directly interacting with external tools remains a critical limitation. Traditional methods rely on inputting tool descriptions as context, which is…

Computation and Language · Computer Science 2025-04-01 Renxi Wang , Xudong Han , Lei Ji , Shu Wang , Timothy Baldwin , Haonan Li

The widespread application of pre-trained language models (PLMs) in natural language processing (NLP) has led to increasing concerns about their explainability. Selective rationalization is a self-explanatory framework that selects…

Computation and Language · Computer Science 2025-01-07 Libing Yuan , Shuaibo Hu , Kui Yu , Le Wu

Large reasoning models (LRMs) have led to new possibilities in terms of problem-solving, through the devising of a natural language thought process prior to answering a query. While their capabilities are well known across mathematics and…

Computation and Language · Computer Science 2025-10-15 Armel Zebaze , Rachel Bawden , Benoît Sagot

Recent advancements in large language models (LLMs) have shown remarkable progress, yet their ability to solve complex problems remains limited. In this work, we introduce Cumulative Reasoning (CR), a structured framework that enhances LLM…

Artificial Intelligence · Computer Science 2026-05-22 Yifan Zhang , Jingqin Yang , Yang Yuan , Andrew Chi-Chih Yao

Large Language Models (LLMs) have demonstrated remarkable progress in reasoning across diverse domains. However, effective reasoning in real-world tasks requires adapting the reasoning strategy to the demands of the problem, ranging from…

Computation and Language · Computer Science 2025-08-19 Xinda Jia , Jinpeng Li , Zezhong Wang , Jingjing Li , Xingshan Zeng , Yasheng Wang , Weinan Zhang , Yong Yu , Weiwen Liu