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Large Language Models (LLMs) have succeeded remarkably in various natural language processing (NLP) tasks, yet their reasoning capabilities remain a fundamental challenge. While LLMs exhibit impressive fluency and factual recall, their…

Computation and Language · Computer Science 2025-05-29 Avinash Patil , Aryan Jadon

We introduce neural networks for end-to-end differentiable proving of queries to knowledge bases by operating on dense vector representations of symbols. These neural networks are constructed recursively by taking inspiration from the…

Neural and Evolutionary Computing · Computer Science 2017-12-05 Tim Rocktäschel , Sebastian Riedel

A core tension in models of concept learning is that the model must carefully balance the tractability of inference against the expressivity of the hypothesis class. Humans, however, can efficiently learn a broad range of concepts. We…

Computation and Language · Computer Science 2023-10-02 Kevin Ellis

A fascinating hypothesis is that human and animal intelligence could be explained by a few principles (rather than an encyclopedic list of heuristics). If that hypothesis was correct, we could more easily both understand our own…

Machine Learning · Computer Science 2022-08-02 Anirudh Goyal , Yoshua Bengio

This paper studies learning logic rules for reasoning on knowledge graphs. Logic rules provide interpretable explanations when used for prediction as well as being able to generalize to other tasks, and hence are critical to learn. Existing…

Artificial Intelligence · Computer Science 2021-07-19 Meng Qu , Junkun Chen , Louis-Pascal Xhonneux , Yoshua Bengio , Jian Tang

Humans readily generalize, applying prior knowledge to novel situations and stimuli. Advances in machine learning and artificial intelligence have begun to approximate and even surpass human performance, but machine systems reliably…

Artificial Intelligence · Computer Science 2025-12-10 Leonidas A. A. Doumas , Guillermo Puebla , Andrea E. Martin

In the recent past, there has been a growing interest in Neural-Symbolic Integration frameworks, i.e., hybrid systems that integrate connectionist and symbolic approaches to obtain the best of both worlds. In a previous work, we proposed…

Machine Learning · Computer Science 2021-10-19 Alessandro Daniele , Luciano Serafini

Humans are able to explain their reasoning. On the contrary, deep neural networks are not. This paper attempts to bridge this gap by introducing a new way to design interpretable neural networks for classification, inspired by physiological…

Machine Learning · Statistics 2017-11-20 Shane Barratt

Inductive reasoning is a core problem-solving capacity: humans can identify underlying principles from a few examples, which robustly generalize to novel scenarios. Recent work evaluates large language models (LLMs) on inductive reasoning…

Machine Learning · Computer Science 2024-06-03 Ruocheng Wang , Eric Zelikman , Gabriel Poesia , Yewen Pu , Nick Haber , Noah D. Goodman

Large Language Models (LLMs) show remarkable capabilities, yet their stochastic next-token prediction creates logical inconsistencies and reward hacking that formal symbolic systems avoid. To bridge this gap, we introduce a formal logic…

Machine Learning · Computer Science 2026-02-02 Chuxue Cao , Jinluan Yang , Haoran Li , Kunhao Pan , Zijian Zhao , Zhengyu Chen , Yuchen Tian , Lijun Wu , Conghui He , Sirui Han , Yike Guo

Intelligent systems based on first-order logic on the one hand, and on artificial neural networks (also called connectionist systems) on the other, differ substantially. It would be very desirable to combine the robust neural networking…

Artificial Intelligence · Computer Science 2007-05-23 Sebastian Bader , Pascal Hitzler , Steffen Hoelldobler

For many reasoning-heavy tasks involving raw inputs, it is challenging to design an appropriate end-to-end learning pipeline. Neuro-Symbolic Learning, divide the process into sub-symbolic perception and symbolic reasoning, trying to utilise…

Artificial Intelligence · Computer Science 2021-05-21 Wang-Zhou Dai , Stephen H. Muggleton

Large Language Models (LLMs) still struggle with multi-step logical reasoning. Existing approaches either purely refine the reasoning chain in natural language form or attach a symbolic solver as an external module. In this work, we instead…

Computation and Language · Computer Science 2026-04-22 Feihao Fang , My T. Thai , Yuanyuan Lei

Complementary recommendation gains increasing attention in e-commerce since it expedites the process of finding frequently-bought-with products for users in their shopping journey. Therefore, learning the product representation that can…

Machine Learning · Computer Science 2022-12-12 Longfeng Wu , Yao Zhou , Dawei Zhou

We present a new methodology for utilising machine learning technology in symbolic computation research. We explain how a well known human-designed heuristic to make the choice of variable ordering in cylindrical algebraic decomposition may…

Symbolic Computation · Computer Science 2024-04-29 Dorian Florescu , Matthew England

A recent study (Kuribayashi et al., 2025) has shown that human sentence processing behavior, typically measured on syntactically unchallenging constructions, can be effectively modeled using surprisal from early layers of large language…

Computation and Language · Computer Science 2026-04-21 Tatsuki Kuribayashi , Alex Warstadt , Yohei Oseki , Ethan Gotlieb Wilcox

Training a model with access to human explanations can improve data efficiency and model performance on in- and out-of-domain data. Adding to these empirical findings, similarity with the process of human learning makes learning from…

Computation and Language · Computer Science 2022-04-20 Mareike Hartmann , Daniel Sonntag

Despite the practical success of Artificial Intelligence (AI), current neural AI algorithms face two significant issues. First, the decisions made by neural architectures are often prone to bias and brittleness. Second, when a chain of…

Artificial Intelligence · Computer Science 2024-10-21 Sushmita Paul , Jinqiang Yu , Jip J. Dekker , Alexey Ignatiev , Peter J. Stuckey

Working memory requires the brain to maintain information from the recent past to guide ongoing behavior. Neurons can contribute to this capacity by slowly integrating their inputs over time, creating persistent activity that outlasts the…

Neurons and Cognition · Quantitative Biology 2025-11-20 Nicoas Zucchet , Qianqian Feng , Axel Laborieux , Friedemann Zenke , Walter Senn , João Sacramento

In the context of artificial neural networks, subliminal learning refers to the transfer of task-relevant knowledge or unintended biases from teacher to student models through distillation on task-unrelated input$\unicode{x2013}$output…

Machine Learning · Computer Science 2026-05-25 Vincent C. Brockers , Roman D. Ventzke , Valentin Neuhaus , Belén Hidalgo-Ogalde , Viola Priesemann