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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

The goal of inductive logic programming (ILP) is to search for a hypothesis that generalises training examples and background knowledge (BK). To improve performance, we introduce an approach that, before searching for a hypothesis, first…

Machine Learning · Computer Science 2022-12-06 Andrew Cropper , Céline Hocquette

The goal of Inductive Logic Programming (ILP) is to learn a program that explains a set of examples in the context of some pre-existing background knowledge. Until recently, most research on ILP targeted learning Prolog programs. Our own…

Artificial Intelligence · Computer Science 2020-05-05 Mark Law , Alessandra Russo , Krysia Broda

Inductive logic programming is a type of machine learning in which logic programs are learned from examples. This learning typically occurs relative to some background knowledge provided as a logic program. This dissertation introduces…

Machine Learning · Computer Science 2021-12-24 Brad Hunter

A central challenge in program induction has long been the trade-off between symbolic and neural approaches. Symbolic methods offer compositional generalisation and data efficiency, yet their scalability is constrained by formalisms such as…

Machine Learning · Computer Science 2026-04-22 Matthew V. Macfarlane , Clément Bonnet , Herke van Hoof , Levi H. S. Lelis

A major bottleneck in search-based program synthesis is the exponentially growing search space which makes learning large programs intractable. Humans mitigate this problem by leveraging the compositional nature of the real world: In…

Artificial Intelligence · Computer Science 2024-12-25 Jonas Witt , Sebastijan Dumančić , Tias Guns , Claus-Christian Carbon

Current trends in Machine Learning prefer explainability even when it comes at the cost of performance. Therefore, explainable AI methods are particularly important in the field of Fraud Detection. This work investigates the applicability…

Risk Management · Quantitative Finance 2024-10-30 Boris Wolfson , Erman Acar

Recently deep reinforcement learning has achieved tremendous success in wide ranges of applications. However, it notoriously lacks data-efficiency and interpretability. Data-efficiency is important as interacting with the environment is…

Machine Learning · Computer Science 2021-06-23 Duo Xu , Faramarz Fekri

We introduce DeepProbLog, a probabilistic logic programming language that incorporates deep learning by means of neural predicates. We show how existing inference and learning techniques can be adapted for the new language. Our experiments…

Artificial Intelligence · Computer Science 2018-12-13 Robin Manhaeve , Sebastijan Dumančić , Angelika Kimmig , Thomas Demeester , Luc De Raedt

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

Many inductive logic programming (ILP) methods are incapable of learning programs from probabilistic background knowledge, e.g. coming from sensory data or neural networks with probabilities. We propose Propper, which handles flawed and…

Artificial Intelligence · Computer Science 2024-09-23 Fieke Hillerstrom , Gertjan Burghouts

Large language models (LLMs) often struggle with complex mathematical tasks, prone to "hallucinating" incorrect answers due to their reliance on statistical patterns. This limitation is further amplified in average Small LangSLMs with…

Inductive logic programming (ILP) has been a deeply influential paradigm in AI, enjoying decades of research on its theory and implementations. As a natural descendent of the fields of logic programming and machine learning, it admits the…

Artificial Intelligence · Computer Science 2020-01-16 Vaishak Belle

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

The program synthesis problem within the Inductive Logic Programming (ILP) community has typically been seen as untyped. We consider the benefits of user provided types on background knowledge. Building on the Meta-Interpretive Learning…

Artificial Intelligence · Computer Science 2021-02-26 Rolf Morel

Inductive logic programming (ILP) is a form of machine learning. The goal of ILP is to induce a hypothesis (a set of logical rules) that generalises training examples. As ILP turns 30, we provide a new introduction to the field. We…

Artificial Intelligence · Computer Science 2022-03-23 Andrew Cropper , Sebastijan Dumančić

Integer Linear Programming (ILP) has been proposed as a formalism for encoding precise structural and semantic constraints for Natural Language Inference (NLI). However, traditional ILP frameworks are non-differentiable, posing critical…

Computation and Language · Computer Science 2024-04-04 Mokanarangan Thayaparan , Marco Valentino , André Freitas

A major challenge in inductive logic programming (ILP) is learning large programs. We argue that a key limitation of existing systems is that they use entailment to guide the hypothesis search. This approach is limited because entailment is…

Artificial Intelligence · Computer Science 2020-04-23 Andrew Cropper , Sebastijan Dumančić

Inductive logic programming, or relational learning, is a powerful paradigm for machine learning or data mining. However, in order for ILP to become practically useful, the efficiency of ILP systems must improve substantially. To this end,…

Artificial Intelligence · Computer Science 2011-06-10 H. Blockeel , L. Dehaspe , B. Demoen , G. Janssens , J. Ramon , H. Vandecasteele

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