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In this paper, we review recent approaches for explaining concepts in neural networks. Concepts can act as a natural link between learning and reasoning: once the concepts are identified that a neural learning system uses, one can integrate…

Artificial Intelligence · Computer Science 2024-05-06 Jae Hee Lee , Sergio Lanza , Stefan Wermter

Tree-structured recursive neural networks (TreeRNNs) for sentence meaning have been successful for many applications, but it remains an open question whether the fixed-length representations that they learn can support tasks as demanding as…

Computation and Language · Computer Science 2015-05-15 Samuel R. Bowman , Christopher Potts , Christopher D. Manning

Machine reading comprehension (MRC) poses new challenges over logical reasoning, which aims to understand the implicit logical relations entailed in the given contexts and perform inference over them. Due to the complexity of logic, logical…

Computation and Language · Computer Science 2023-06-22 Jialin Chen , Zhuosheng Zhang , Hai Zhao

Learning first-order logic programs (LPs) from relational facts which yields intuitive insights into the data is a challenging topic in neuro-symbolic research. We introduce a novel differentiable inductive logic programming (ILP) model,…

Artificial Intelligence · Computer Science 2022-04-29 Kun Gao , Katsumi Inoue , Yongzhi Cao , Hanpin Wang

This paper introduces a differentiable semantic reasoner, where rules are presented as a relevant set of graph transformations. These rules can be written manually or inferred by a set of facts and goals presented as a training set. While…

Artificial Intelligence · Computer Science 2021-10-26 Alberto Cetoli

Machine learning systems perform well on pattern matching tasks, but their ability to perform algorithmic or logical reasoning is not well understood. One important reasoning capability is algorithmic extrapolation, in which models trained…

Machine Learning · Computer Science 2022-10-18 Arpit Bansal , Avi Schwarzschild , Eitan Borgnia , Zeyad Emam , Furong Huang , Micah Goldblum , Tom Goldstein

Large Language Models (LLMs) have shown strong performance on code understanding tasks, yet they fundamentally lack the ability to perform precise, exhaustive mathematical reasoning about program behavior. Existing benchmarks either focus…

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

Large Language Models (LLMs) trained on petabytes of data are highly compressed repositories of a significant proportion of the knowledge accumulated and distilled so far. In this paper we study techniques to elicit this knowledge in the…

Artificial Intelligence · Computer Science 2025-02-14 Paul Tarau

Answering compositional questions that require multiple steps of reasoning against text is challenging, especially when they involve discrete, symbolic operations. Neural module networks (NMNs) learn to parse such questions as executable…

Computation and Language · Computer Science 2020-02-18 Nitish Gupta , Kevin Lin , Dan Roth , Sameer Singh , Matt Gardner

Large Language Models (LLMs) have shown remarkable reasoning performance but struggle with multi-step deductive reasoning involving a series of rule application steps, especially when rules are presented non-sequentially. Our preliminary…

Computation and Language · Computer Science 2024-08-27 Siyuan Wang , Zhongyu Wei , Yejin Choi , Xiang Ren

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

Neuro-symbolic systems combine the abilities of neural perception and logical reasoning. However, end-to-end learning of neuro-symbolic systems is still an unsolved challenge. This paper proposes a natural framework that fuses neural…

Artificial Intelligence · Computer Science 2024-10-29 Zenan Li , Yunpeng Huang , Zhaoyu Li , Yuan Yao , Jingwei Xu , Taolue Chen , Xiaoxing Ma , Jian Lu

Two lines of approaches are adopted for complex reasoning with LLMs. One line of work prompts LLMs with various reasoning structures, while the structural outputs can be naturally regarded as intermediate reasoning steps. Another line of…

Artificial Intelligence · Computer Science 2025-02-25 Sen Yang , Xin Li , Leyang Cui , Lidong Bing , Wai Lam

Background: Neuro-symbolic methods enhance the reliability of neural network classifiers through logical constraints, but they lack native support for ontologies. Objectives: We aim to develop a neuro-symbolic method that reliably outputs…

Artificial Intelligence · Computer Science 2026-01-22 Nicolas Lazzari , Valentina Presutti , Antonio Vergari

Neurosymbolic artificial intelligence is a growing field of research aiming to combine neural network learning capabilities with the reasoning abilities of symbolic systems. Informed multi-label classification is a sub-field of…

Artificial Intelligence · Computer Science 2025-01-24 Arthur Ledaguenel , Céline Hudelot , Mostepha Khouadjia

Neural networks, as currently designed, fall short of achieving true logical intelligence. Modern AI models rely on standard neural computation-inner-product-based transformations and nonlinear activations-to approximate patterns from data.…

Artificial Intelligence · Computer Science 2025-02-05 Youngsung Kim

Solving Inductive Logic Programming (ILP) problems with neural networks is a key challenge in Neural-Symbolic Ar- tificial Intelligence (AI). While most research has focused on designing novel network architectures for individual prob-…

Artificial Intelligence · Computer Science 2025-11-18 Bowen He , Xiaoan Xu , Alper Kamil Bozkurt , Vahid Tarokh , Juncheng Dong

The development of artificial intelligence systems with advanced reasoning capabilities represents a persistent and long-standing research question. Traditionally, the primary strategy to address this challenge involved the adoption of…

Machine Learning · Computer Science 2024-02-22 Danilo Numeroso

Logical reasoning serve as a central capability in LLMs and includes three main forms: deductive, inductive, and abductive reasoning. In this work, we study the knowledge representations of these reasoning types in LLMs and analyze the…

Computation and Language · Computer Science 2026-04-28 Zixuan Wang , Yuanyuan Lei