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We propose a novel paradigm for solving Inductive Logic Programming (ILP) problems via deep recurrent neural networks. This proposed ILP solver is designed based on differentiable implementation of the deduction via forward chaining. In…

Artificial Intelligence · Computer Science 2019-06-11 Ali Payani , Faramarz Fekri

A key feature of inductive logic programming (ILP) is its ability to learn first-order programs, which are intrinsically more expressive than propositional programs. In this paper, we introduce techniques to learn higher-order programs.…

Machine Learning · Computer Science 2019-07-26 Andrew Cropper , Rolf Morel , Stephen H. Muggleton

We introduce DeepProbLog, a neural probabilistic logic programming language that incorporates deep learning by means of neural predicates. We show how existing inference and learning techniques of the underlying probabilistic logic…

Artificial Intelligence · Computer Science 2019-09-26 Robin Manhaeve , Sebastijan Dumančić , Angelika Kimmig , Thomas Demeester , Luc De Raedt

Many inductive logic programming approaches struggle to learn programs from noisy data. To overcome this limitation, we introduce an approach that learns minimal description length programs from noisy data, including recursive programs. Our…

Machine Learning · Computer Science 2023-08-21 Céline Hocquette , Andreas Niskanen , Matti Järvisalo , Andrew Cropper

One approach to explaining the hierarchical levels of understanding within a machine learning model is the symbolic method of inductive logic programming (ILP), which is data efficient and capable of learning first-order logic rules that…

Machine Learning · Computer Science 2023-09-01 Andreas Bueff , Vaishak Belle

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

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

Common criticisms of state-of-the-art machine learning include poor generalisation, a lack of interpretability, and a need for large amounts of training data. We survey recent work in inductive logic programming (ILP), a form of machine…

Artificial Intelligence · Computer Science 2020-04-23 Andrew Cropper , Sebastijan Dumančić , Stephen H. Muggleton

Recent years have seen a surge of interest in Probabilistic Logic Programming (PLP) and Statistical Relational Learning (SRL) models that combine logic with probabilities. Structure learning of these systems is an intersection area of…

Machine Learning · Computer Science 2014-02-26 Wang-Zhou Dai , Zhi-Hua Zhou

Uncertain information is being taken into account in an increasing number of application fields. In the meantime, abduction has been proved a powerful tool for handling hypothetical reasoning and incomplete knowledge. Probabilistic logical…

Artificial Intelligence · Computer Science 2022-02-04 Elena Bellodi , Marco Gavanelli , Riccardo Zese , Evelina Lamma , Fabrizio Riguzzi

The goal of inductive logic programming (ILP) is to search for a logic program that generalises training examples and background knowledge. We introduce an ILP approach that identifies minimal unsatisfiable subprograms (MUSPs). We show that…

Machine Learning · Computer Science 2024-01-30 Andrew Cropper , Céline Hocquette

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

Inductive Logic Programming (ILP) aims to learn interpretable first-order rules from data, but existing symbolic and neuro-symbolic approaches struggle to scale to noisy and probabilistic settings. Classical ILP relies on discrete…

Artificial Intelligence · Computer Science 2026-05-07 Iman Sharifi , Peng Wei , Saber Fallah

Probabilistic Logic Programming (PLP), exemplified by Sato and Kameya's PRISM, Poole's ICL, De Raedt et al's ProbLog and Vennekens et al's LPAD, combines statistical and logical knowledge representation and inference. Inference in these…

Artificial Intelligence · Computer Science 2012-03-21 Muhammad Asiful Islam , C. R. Ramakrishnan , I. V. Ramakrishnan

Scientists form hypotheses and experimentally test them. If a hypothesis fails (is refuted), scientists try to explain the failure to eliminate other hypotheses. The more precise the failure analysis the more hypotheses can be eliminated.…

Artificial Intelligence · Computer Science 2023-05-25 Rolf Morel , Andrew Cropper

ProSper is a python library containing probabilistic algorithms to learn dictionaries. Given a set of data points, the implemented algorithms seek to learn the elementary components that have generated the data. The library widens the scope…

Signal Processing · Electrical Eng. & Systems 2019-08-20 Georgios Exarchakis , Jörg Bornschein , Abdul-Saboor Sheikh , Zhenwen Dai , Marc Henniges , Jakob Drefs , Jörg Lücke

Inductive Logic Programming (ILP) combines rule-based and statistical artificial intelligence methods, by learning a hypothesis comprising a set of rules given background knowledge and constraints for the search space. We focus on extending…

Artificial Intelligence · Computer Science 2018-02-01 Mishal Kazmi , Peter Schüller , Yücel Saygın

Weak supervision allows machine learning models to learn from limited or noisy labels, but it introduces challenges in interpretability and reliability - particularly in multi-instance partial label learning (MI-PLL), where models must…

Artificial Intelligence · Computer Science 2025-03-25 Nijesh Upreti , Vaishak Belle

Despite their linguistic competence, Large Language Models (LLMs) often struggle to reason reliably and flexibly. To identify these shortcomings, we introduce the Non-Linear Reasoning (NLR) dataset, a collection of 55 unique, hand-designed…

Computation and Language · Computer Science 2025-12-02 Nasim Borazjanizadeh , Steven T. Piantadosi

Learning complex programs through inductive logic programming (ILP) remains a formidable challenge. Existing higher-order enabled ILP systems show improved accuracy and learning performance, though remain hampered by the limitations of the…

Artificial Intelligence · Computer Science 2022-08-02 Stanisław J. Purgał , David M. Cerna , Cezary Kaliszyk