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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 have achieved substantial progress in mathematical reasoning, yet their advancement is limited by the scarcity of high-quality, high-difficulty training data. Existing synthesis methods largely rely on transforming…

Computation and Language · Computer Science 2026-03-10 Shaoxiong Zhan , Yanlin Lai , Ziyu Lu , Dahua Lin , Ziqing Yang , Fei Tan

Mathematical reasoning is essential for problem-solving in education, science, and industry, serving as a crucial benchmark for evaluating artificial intelligence systems. As Large Language Models (LLMs) improve their reasoning…

Computation and Language · Computer Science 2026-05-20 Husnain Amjad , Raja Khurram Shahzad , Aamir Shahzad , Mehwish Fatima

Latent reasoning offers a computation-efficient alternative to Chain-of-Thought but often suffers from performance degradation due to distributional misalignment and ambiguous chain definitions. Ideally, latent reasoning should function as…

Computation and Language · Computer Science 2026-02-02 Jingcheng Deng , Liang Pang , Zihao Wei , Shicheng Xu , Zenghao Duan , Kun Xu , Yang Song , Huawei Shen , Xueqi Cheng

The ability to derive underlying principles from a handful of observations and then generalize to novel situations -- known as inductive reasoning -- is central to human intelligence. Prior work suggests that language models (LMs) often…

Computation and Language · Computer Science 2024-05-24 Linlu Qiu , Liwei Jiang , Ximing Lu , Melanie Sclar , Valentina Pyatkin , Chandra Bhagavatula , Bailin Wang , Yoon Kim , Yejin Choi , Nouha Dziri , Xiang Ren

Problem-solving has been a fundamental driver of human progress in numerous domains. With advancements in artificial intelligence, Large Language Models (LLMs) have emerged as powerful tools capable of tackling complex problems across…

Machine Learning · Computer Science 2025-05-07 Da Zheng , Lun Du , Junwei Su , Yuchen Tian , Yuqi Zhu , Jintian Zhang , Lanning Wei , Ningyu Zhang , Huajun Chen

Evaluating reasoning ability in Large Language Models (LLMs) is important for advancing artificial intelligence, as it transcends mere linguistic task performance. It involves understanding whether these models truly understand information,…

Artificial Intelligence · Computer Science 2025-10-29 Benjamin Grando Moreira

Logical reasoning consistently plays a fundamental and significant role in the domains of knowledge engineering and artificial intelligence. Recently, Large Language Models (LLMs) have emerged as a noteworthy innovation in natural language…

Computation and Language · Computer Science 2024-09-17 Fangzhi Xu , Qika Lin , Jiawei Han , Tianzhe Zhao , Jun Liu , Erik Cambria

Reasoning is a hallmark of human intelligence, enabling adaptive decision-making in complex and unfamiliar scenarios. In contrast, machine intelligence remains bound to training data, lacking the ability to dynamically refine solutions at…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Shaheer U. Saeed , Yipei Wang , Veeru Kasivisvanathan , Brian R. Davidson , Matthew J. Clarkson , Yipeng Hu , Daniel C. Alexander

Large language models (LLMs) often struggle with complex logical reasoning due to logical inconsistencies and the inherent difficulty of such reasoning. We use Lean, a theorem proving framework, to address these challenges. By formalizing…

Computation and Language · Computer Science 2024-03-21 Dongwei Jiang , Marcio Fonseca , Shay B. Cohen

Automatic judgment prediction aims to predict the judicial results based on case materials. It has been studied for several decades mainly by lawyers and judges, considered as a novel and prospective application of artificial intelligence…

Artificial Intelligence · Computer Science 2018-09-19 Shangbang Long , Cunchao Tu , Zhiyuan Liu , Maosong Sun

Reinforcement learning (RL) can elicit strong reasoning in large language models (LLMs), yet most open efforts focus on math and code. We propose Reasoning Curriculum, a simple two-stage curriculum that first elicits reasoning skills in…

Artificial Intelligence · Computer Science 2025-10-31 Bo Pang , Deqian Kong , Silvio Savarese , Caiming Xiong , Yingbo Zhou

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

Despite the remarkable progress in neural models, their ability to generalize, a cornerstone for applications such as logical reasoning, remains a critical challenge. We delineate two fundamental aspects of this ability: compositionality,…

Computation and Language · Computer Science 2026-05-06 Manuel Vargas Guzmán , Jakub Szymanik , Maciej Malicki

Logical reasoning is a fundamental aspect of human intelligence and an essential capability for multimodal large language models (MLLMs). Despite the significant advancement in multimodal reasoning, existing benchmarks fail to…

Artificial Intelligence · Computer Science 2025-05-28 Jiakang Yuan , Tianshuo Peng , Yilei Jiang , Yiting Lu , Renrui Zhang , Kaituo Feng , Chaoyou Fu , Tao Chen , Lei Bai , Bo Zhang , Xiangyu Yue

Mathematical reasoning---a core ability within human intelligence---presents some unique challenges as a domain: we do not come to understand and solve mathematical problems primarily on the back of experience and evidence, but on the basis…

Machine Learning · Computer Science 2019-04-03 David Saxton , Edward Grefenstette , Felix Hill , Pushmeet Kohli

Reasoning abilities of LLMs have been a key focus in recent years. One challenging reasoning domain with interesting nuances is legal reasoning, which requires careful application of rules, and precedents while balancing deductive and…

Computation and Language · Computer Science 2025-02-11 Venkatesh Mishra , Bimsara Pathiraja , Mihir Parmar , Sat Chidananda , Jayanth Srinivasa , Gaowen Liu , Ali Payani , Chitta Baral

Human reasoning can be understood as a cooperation between the intuitive, associative "System-1" and the deliberative, logical "System-2". For existing System-1-like methods in visual activity understanding, it is crucial to integrate…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Xiaoqian Wu , Yong-Lu Li , Jianhua Sun , Cewu Lu

This paper reports the first documented instance of a language model achieving a perfect score on an officially disclosed Law School Admission Test (LSAT). Controlled experiments on eight reasoning models show that varying the prompt,…

Artificial Intelligence · Computer Science 2026-04-14 Bonmu Ku

Large language models (LLMs) are increasingly evaluated on reasoning tasks, yet their logical abilities remain contested. To address this, we study LLMs' reasoning in a well-defined fragment of logic: syllogistic reasoning. We cast the…

Computation and Language · Computer Science 2026-01-27 Leonardo Bertolazzi , Manuel Vargas Guzmán , Raffaella Bernardi , Maciej Malicki , Jakub Szymanik