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Traditional logic programming relies on symbolic computation on the CPU, which can limit performance for large-scale inference tasks. Recent advances in GPU hardware enable high-throughput matrix operations, motivating a shift toward…

Symbolic Computation · Computer Science 2025-08-20 Lun Ai

We study the statistical behaviour of reasoning probes in a stylized model of looped reasoning, given by Boolean circuits whose computational graph is a perfect $\nu$-ary tree ($\nu\ge 2$) and whose output is appended to the input and fed…

Machine Learning · Statistics 2026-02-11 Anastasis Kratsios , Giulia Livieri , A. Martina Neuman

Recent advances in search-augmented large reasoning models (LRMs) enable the retrieval of external knowledge to reduce hallucinations in multistep reasoning. However, their ability to operate on graph-structured data, prevalent in domains…

Computation and Language · Computer Science 2026-01-14 Jiajin Liu , Yuanfu Sun , Dongzhe Fan , Qiaoyu Tan

Graph neural networks (GNNs) are highly effective on a variety of graph-related tasks; however, they lack interpretability and transparency. Current explainability approaches are typically local and treat GNNs as black-boxes. They do not…

Machine Learning · Computer Science 2023-03-10 Han Xuanyuan , Pietro Barbiero , Dobrik Georgiev , Lucie Charlotte Magister , Pietro Lió

The rapid growth of the size and complexity in deep neural networks has sharply increased computational demands, challenging their efficient deployment in real-world scenarios. Boolean networks, constructed with logic gates, offer a…

Machine Learning · Computer Science 2024-09-12 Youngsung Kim

Large Reasoning Models (LRMs) have advanced rapidly; however, existing benchmarks in mathematics, code, and common-sense reasoning remain limited. They lack long-context evaluation, offer insufficient challenge, and provide answers that are…

Artificial Intelligence · Computer Science 2026-02-09 Qifan Zhang , Jianhao Ruan , Aochuan Chen , Kang Zeng , Nuo Chen , Jing Tang , Jia Li

Graph neural networks (GNNs) have pushed the state-of-the-art (SOTA) for performance in learning and predicting on large-scale data present in social networks, biology, etc. Since integrated circuits (ICs) can naturally be represented as…

Machine Learning · Computer Science 2022-11-30 Lilas Alrahis , Johann Knechtel , Ozgur Sinanoglu

Reasoning over Knowledge Graphs (KGs) plays a pivotal role in knowledge graph completion or question answering systems, providing richer and more accurate triples and attributes. As numerical attributes become increasingly essential in…

Artificial Intelligence · Computer Science 2025-04-22 Ze Zhao , Bin Lu , Xiaoying Gan , Gu Tang , Luoyi Fu , Xinbing Wang

Neural networks have succeeded in many reasoning tasks. Empirically, these tasks require specialized network structures, e.g., Graph Neural Networks (GNNs) perform well on many such tasks, but less structured networks fail. Theoretically,…

Machine Learning · Computer Science 2020-02-18 Keyulu Xu , Jingling Li , Mozhi Zhang , Simon S. Du , Ken-ichi Kawarabayashi , Stefanie Jegelka

The proliferation of agentic systems has thrust the reasoning capabilities of AI into the forefront of contemporary machine learning. While it is known that there \emph{exist} neural networks which can reason through any Boolean task…

Computational Complexity · Computer Science 2026-02-06 Wenhao Li , Anastasis Kratsios , Hrad Ghoukasian , Dennis Zvigelsky

We propose a hybrid architecture that integrates decision tree-based symbolic reasoning with the generative capabilities of large language models (LLMs) within a coordinated multi-agent framework. Unlike prior approaches that loosely couple…

Artificial Intelligence · Computer Science 2025-08-08 Andrew Kiruluta

Recent years, multi-hop reasoning has been widely studied for knowledge graph (KG) reasoning due to its efficacy and interpretability. However, previous multi-hop reasoning approaches are subject to two primary shortcomings. First, agents…

Artificial Intelligence · Computer Science 2024-12-19 Zijian Wang , Bin Wang , Haifeng Jing , Huayu Li , Hongbo Dou

Large Language Models (LLMs) excel at intuitive, implicit reasoning. Guiding LLMs to construct thought chains can enhance their deliberate reasoning abilities, but also faces challenges such as hallucination. Knowledge Graphs (KGs) can…

Computation and Language · Computer Science 2025-03-07 Guangyi Liu , Yongqi Zhang , Yong Li , Quanming Yao

Recent deep learning models have moved beyond low-dimensional regular grids such as image, video, and speech, to high-dimensional graph-structured data, such as social networks, brain connections, and knowledge graphs. This evolution has…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-22 Lingxiao Ma , Zhi Yang , Youshan Miao , Jilong Xue , Ming Wu , Lidong Zhou , Yafei Dai

The graph structure is a commonly used data storage mode, and it turns out that the low-dimensional embedded representation of nodes in the graph is extremely useful in various typical tasks, such as node classification, link prediction ,…

Social and Information Networks · Computer Science 2020-08-03 Xing Li , Wei Wei , Xiangnan Feng , Xue Liu , Zhiming Zheng

Large Language Models (LLMs) have demonstrated strong performance across a wide range of tasks, yet they still struggle with complex mathematical reasoning, a challenge fundamentally rooted in deep structural dependencies. To address this…

Artificial Intelligence · Computer Science 2025-12-01 Lei Zan , Keli Zhang , Ruichu Cai , Lujia Pan

Large language models (LLMs) show promising performance on small-scale graph reasoning tasks but fail when handling real-world graphs with complex queries. This phenomenon arises from LLMs' working memory constraints, which result in their…

Artificial Intelligence · Computer Science 2025-10-01 Rongzheng Wang , Shuang Liang , Qizhi Chen , Yihong Huang , Muquan Li , Yizhuo Ma , Dongyang Zhang , Ke Qin , Man-Fai Leung

Despite their success in various domains, the growing dependence on GNNs raises a critical concern about the nature of the combinatorial reasoning underlying their predictions, which is often hidden within their black-box architectures.…

Machine Learning · Computer Science 2026-03-03 Yue Niu , Zhaokai Sun , Jiayi Yang , Xiaofeng Cao , Rui Fan , Xin Sun , Hanli Wang , Wei Ye

This paper presents the first use of graph neural networks (GNNs) for higher-order proof search and demonstrates that GNNs can improve upon state-of-the-art results in this domain. Interactive, higher-order theorem provers allow for the…

Machine Learning · Computer Science 2019-09-16 Aditya Paliwal , Sarah Loos , Markus Rabe , Kshitij Bansal , Christian Szegedy

Understanding the high-level conceptual structure of quantum algorithms from their low-level circuit representations is a critical task for verification, debugging, and education. While traditional numerical simulators can calculate output…

Quantum Physics · Physics 2026-03-31 Min Chen , Jinglei Cheng , Pingzhi Li , Haoran Wang , Tianlong Chen , Junyu Liu