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Large language models (LLMs) can prove mathematical theorems formally by generating proof steps (\textit{a.k.a.} tactics) within a proof system. However, the space of possible tactics is vast and complex, while the available training data…

Artificial Intelligence · Computer Science 2025-02-28 Zenan Li , Zhaoyu Li , Wen Tang , Xian Zhang , Yuan Yao , Xujie Si , Fan Yang , Kaiyu Yang , Xiaoxing Ma

Neuro-symbolic NLP methods aim to leverage the complementary strengths of large language models and formal logical solvers. However, current approaches are mostly static in nature, i.e., the integration of a target solver is predetermined…

Computation and Language · Computer Science 2025-10-09 Lei Xu , Pierre Beckmann , Marco Valentino , André Freitas

Large Language Models (LLMs) have demonstrated impressive progress in complex reasoning tasks, largely driven by the Chain-of-Thought (CoT) paradigm, which decomposes difficult problems into intermediate steps. However, CoT reasoning…

Symbolic Computation · Computer Science 2026-05-26 Rui Wang , Zeming Wei , Yihao Zhang , Xiaokun Luan

A large class of Neural-Symbolic (NeSy) methods employs a machine learner to process the input entities, while relying on a reasoner based on First-Order Logic to represent and process more complex relationships among the entities. A…

Artificial Intelligence · Computer Science 2025-10-28 Rodrigo Castellano Ontiveros , Francesco Giannini , Marco Gori , Giuseppe Marra , Michelangelo Diligenti

Neurosymbolic (NeSy) AI studies the integration of neural networks (NNs) and symbolic reasoning based on logic. Usually, NeSy techniques focus on learning the neural, probabilistic and/or fuzzy parameters of NeSy models. Learning the…

Artificial Intelligence · Computer Science 2025-03-13 Matthias Möller , Arvid Norlander , Pedro Zuidberg Dos Martires , Luc De Raedt

Neuro-Symbolic (NeSy) predictive models hold the promise of improved compliance with given constraints, systematic generalization, and interpretability, as they allow to infer labels that are consistent with some prior knowledge by…

Machine Learning · Computer Science 2023-12-19 Emanuele Marconato , Stefano Teso , Antonio Vergari , Andrea Passerini

The evolution of Remote Sensing Vision-Language Models(RS-VLMs) emphasizes the importance of transitioning from perception-centric recognition toward high-level deductive reasoning to enhance cognitive reliability in complex spatial tasks.…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Wenshuai Li , Xiantai Xiang , Zixiao Wen , Guangyao Zhou , Ben Niu , Feng Wang , Lijia Huang , Qiantong Wang , Yuxin Hu

Neural-symbolic computing (NeSy), which pursues the integration of the symbolic and statistical paradigms of cognition, has been an active research area of Artificial Intelligence (AI) for many years. As NeSy shows promise of reconciling…

Artificial Intelligence · Computer Science 2024-10-04 Wenguan Wang , Yi Yang , Fei Wu

Reasoning on the context of human beings is crucial for many real-world applications especially for those deploying autonomous systems (e.g. robots). In this paper, we present a new approach for context reasoning to further advance the…

Artificial Intelligence · Computer Science 2023-04-25 Sariah Mghames , Luca Castri , Marc Hanheide , Nicola Bellotto

Spatial reasoning based on natural language expressions is essential for everyday human tasks. This reasoning ability is also crucial for machines to interact with their environment in a human-like manner. However, recent research shows…

Computation and Language · Computer Science 2025-09-23 Tanawan Premsri , Parisa Kordjamshidi

Deep neural learning uses an increasing amount of computation and data to solve very specific problems. By stark contrast, human minds solve a wide range of problems using a fixed amount of computation and limited experience. One ability…

Artificial Intelligence · Computer Science 2023-12-19 Zihan Ye , Hikaru Shindo , Devendra Singh Dhami , Kristian Kersting

Large Language Models (LLMs) demonstrate ever-increasing abilities in mathematical and algorithmic tasks, yet their geometric reasoning skills are underexplored. We investigate LLMs' abilities in constructive geometric problem-solving one…

Computation and Language · Computer Science 2024-09-23 Spyridon Mouselinos , Henryk Michalewski , Mateusz Malinowski

Geometric diagrams are critical in conveying mathematical and scientific concepts, yet traditional diagram generation methods are often manual and resource-intensive. While text-to-image generation has made strides in photorealistic…

Computer Vision and Pattern Recognition · Computer Science 2025-02-20 Junxiao Wang , Ting Zhang , Heng Yu , Jingdong Wang , Hua Huang

Spatial reasoning is a core aspect of human intelligence that allows perception, inference and planning in 3D environments. However, current vision-language models (VLMs) struggle to maintain geometric coherence and cross-view consistency…

Artificial Intelligence · Computer Science 2025-12-03 Qiyao Xue , Weichen Liu , Shiqi Wang , Haoming Wang , Yuyang Wu , Wei Gao

Current Visual-Language Navigation (VLN) methodologies face a trade-off between semantic understanding and control precision. While Multimodal Large Language Models (MLLMs) offer superior reasoning, deploying them as low-level controllers…

Robotics · Computer Science 2026-02-19 Zhenxing Xu , Brikit Lu , Weidong Bao , Zhengqiu Zhu , Junsong Zhang , Hui Yan , Wenhao Lu , Ji Wang

Neurosymbolic learning enables the integration of symbolic reasoning with deep learning but faces significant challenges in scaling to complex symbolic programs, large datasets, or both. We introduce DOLPHIN, a framework that tackles these…

Machine Learning · Computer Science 2026-01-01 Aaditya Naik , Jason Liu , Claire Wang , Amish Sethi , Saikat Dutta , Mayur Naik , Eric Wong

Geometric spatial reasoning forms the foundation of many applications in artificial intelligence, yet the ability of large language models (LLMs) to operate over geometric spatial information expressed in procedural code remains…

Artificial Intelligence · Computer Science 2026-02-11 Shixian Luo , Zezhou Zhu , Yu Yuan , Yuncheng Yang , Lianlei Shan , Yong Wu

A recent approach to neurosymbolic reasoning is to explicitly combine the strengths of large language models (LLMs) and symbolic solvers to tackle complex reasoning tasks. However, current approaches face significant limitations, including…

Artificial Intelligence · Computer Science 2026-01-08 Benjamin Callewaert , Simon Vandevelde , Joost Vennekens

Cognitive textual and visual reasoning tasks, including puzzles, series, and analogies, demand the ability to quickly reason, decipher, and evaluate patterns both textually and spatially. Due to extensive training on vast amounts of…

Computer Vision and Pattern Recognition · Computer Science 2025-04-02 Pranshu Pandya , Vatsal Gupta , Agney S Talwarr , Tushar Kataria , Dan Roth , Vivek Gupta

Cybersecurity demands both rapid pattern recognition and deliberative reasoning, yet purely neural or purely symbolic approaches each address only one side of this duality. Neuro-Symbolic (NeSy) AI bridges this gap by integrating learning…

Cryptography and Security · Computer Science 2026-04-16 Safayat Bin Hakim , Muhammad Adil , Alvaro Velasquez , Shouhuai Xu , Houbing Herbert Song
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