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This work presents a novel systematic methodology to analyse the capabilities and limitations of Large Language Models (LLMs) with feedback from a formal inference engine, on logic theory induction. The analysis is complexity-graded w.r.t.…

Computation and Language · Computer Science 2025-01-15 João Pedro Gandarela , Danilo S. Carvalho , André Freitas

Recent work on neuro-symbolic inductive logic programming has led to promising approaches that can learn explanatory rules from noisy, real-world data. While some proposals approximate logical operators with differentiable operators from…

Artificial Intelligence · Computer Science 2021-12-08 Prithviraj Sen , Breno W. S. R. de Carvalho , Ryan Riegel , Alexander Gray

The capability of making interpretable and self-explanatory decisions is essential for developing responsible machine learning systems. In this work, we study the learning to explain problem in the scope of inductive logic programming…

Artificial Intelligence · Computer Science 2020-02-20 Yuan Yang , Le Song

The goal of Inductive Logic Programming (ILP) is to learn a program that explains a set of examples. Until recently, most research on ILP targeted learning Prolog programs. The ILASP system instead learns Answer Set Programs (ASP). Learning…

Artificial Intelligence · Computer Science 2022-01-19 Mark Law

Closely related languages show linguistic similarities that allow speakers of one language to understand speakers of another language without having actively learned it. Mutual intelligibility varies in degree and is typically tested in…

Computation and Language · Computer Science 2024-02-06 Jessica Nieder , Johann-Mattis List

Synthesizing large logic programs through symbolic Inductive Logic Programming (ILP) typically requires intermediate definitions. However, cluttering the hypothesis space with intensional predicates typically degrades performance. In…

Artificial Intelligence · Computer Science 2025-01-09 Stanisław J. Purgał , David M. Cerna , Cezary Kaliszyk

Learning rules plays a crucial role in deep learning, particularly in explainable artificial intelligence and enhancing the reasoning capabilities of large language models. While existing rule learning methods are primarily designed for…

Artificial Intelligence · Computer Science 2026-04-10 Kun Gao , Davide Soldà , Thomas Eiter , Katsumi Inoue

Significant research has been conducted in recent years to extend Inductive Logic Programming (ILP) methods to induce Answer Set Programs (ASP). These methods perform an exhaustive search for the correct hypothesis by encoding an ILP…

Logic in Computer Science · Computer Science 2018-02-20 Farhad Shakerin , Gopal Gupta

Relational Reinforcement Learning (RRL) can offers various desirable features. Most importantly, it allows for incorporating expert knowledge into the learning, and hence leading to much faster learning and better generalization compared to…

Machine Learning · Computer Science 2020-03-24 Ali Payani , Faramarz Fekri

A hallmark of human cognition is the ability to continually acquire and distill observations of the world into meaningful, predictive theories. In this paper we present a new mechanism for logical theory acquisition which takes a set of…

Artificial Intelligence · Computer Science 2018-09-14 Andres Campero , Aldo Pareja , Tim Klinger , Josh Tenenbaum , Sebastian Riedel

This paper examines some methods and ideas underlying the author's successful probabilistic learning systems(PLS), which have proven uniquely effective and efficient in generalization learning or induction. While the emerging principles are…

Artificial Intelligence · Computer Science 2013-04-15 Larry Rendell

We propose an efficient interpretable neuro-symbolic model to solve Inductive Logic Programming (ILP) problems. In this model, which is built from a set of meta-rules organised in a hierarchical structure, first-order rules are invented by…

Machine Learning · Computer Science 2021-12-28 Claire Glanois , Xuening Feng , Zhaohui Jiang , Paul Weng , Matthieu Zimmer , Dong Li , Wulong Liu

A particularly successful role for Inductive Logic Programming (ILP) is as a tool for discovering useful relational features for subsequent use in a predictive model. Conceptually, the case for using ILP to construct relational features…

Machine Learning · Computer Science 2014-09-12 Haimonti Dutta , Ashwin Srinivasan

In recent years, several frameworks and systems have been proposed that extend Inductive Logic Programming (ILP) to the Answer Set Programming (ASP) paradigm. In ILP, examples must all be explained by a hypothesis together with a given…

Artificial Intelligence · Computer Science 2016-08-08 Mark Law , Alessandra Russo , Krysia Broda

Artificial Neural Networks are powerful function approximators capable of modelling solutions to a wide variety of problems, both supervised and unsupervised. As their size and expressivity increases, so too does the variance of the model,…

Neural and Evolutionary Computing · Computer Science 2018-01-26 Richard Evans , Edward Grefenstette

Pre-trained language models (PLMs) have made significant advances in natural language inference (NLI) tasks, however their sensitivity to textual perturbations and dependence on large datasets indicate an over-reliance on shallow…

Machine Learning · Computer Science 2025-02-14 Mingyue Liu , Ryo Ueda , Zhen Wan , Katsumi Inoue , Chris G. Willcocks

We present a framework for deriving inference relations between Dutch sentence pairs. The proposed framework relies on logic-based reasoning to produce inspectable proofs leading up to inference labels; its judgements are therefore…

Computation and Language · Computer Science 2022-01-17 Lasha Abzianidze , Konstantinos Kogkalidis

When comparing inductive logic programming (ILP) and attribute-value learning techniques, there is a trade-off between expressive power and efficiency. Inductive logic programming techniques are typically more expressive but also less…

Machine Learning · Computer Science 2007-05-23 Hendrik Blockeel , Luc De Raedt , Nico Jacobs , Bart Demoen

We propose a novel learning paradigm for Deep Neural Networks (DNN) by using Boolean logic algebra. We first present the basic differentiable operators of a Boolean system such as conjunction, disjunction and exclusive-OR and show how these…

Machine Learning · Computer Science 2019-04-10 Ali Payani , Faramarz Fekri

Event recognition systems rely on properly engineered knowledge bases of event definitions to infer occurrences of events in time. The manual development of such knowledge is a tedious and error-prone task, thus event-based applications may…

Machine Learning · Computer Science 2014-11-25 Nikos Katzouris , Alexander Artikis , George Paliouras