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Traditional Answer Set Programming (ASP) rests upon one-shot solving. A logic program is fed into an ASP system and its stable models are computed. The high practical relevance of dynamic applications led to the development of multi-shot…

Programming Languages · Computer Science 2015-11-05 Martin Gebser , Phillip Obermeier , Torsten Schaub

Probabilistic programs provide an expressive representation language for generative models. Given a probabilistic program, we are interested in the task of posterior inference: estimating a latent variable given a set of observed variables.…

Machine Learning · Computer Science 2022-09-01 Mike Wu , Noah Goodman

We present a probabilistic logic programming framework to reinforcement learning, by integrating reinforce-ment learning, in POMDP environments, with normal hybrid probabilistic logic programs with probabilistic answer set seman-tics, that…

Artificial Intelligence · Computer Science 2010-11-30 Emad Saad

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

Programming language modeling has attracted extensive attention in recent years, and it plays an essential role in program processing fields. Statistical language models, which are initially designed for natural languages, have been…

Software Engineering · Computer Science 2020-02-12 Fang Liu , Lu Zhang , Zhi Jin

Answer set programming (ASP) is a logic programming paradigm that can be used to solve complex combinatorial search problems. Aggregates are an ASP construct that plays an important role in many applications. Defining a satisfactory…

Artificial Intelligence · Computer Science 2008-12-09 Paolo Ferraris

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

Inductive logic programming (ILP) is a form of logic-based machine learning. The goal is to induce a hypothesis (a logic program) that generalises given training examples. As ILP turns 30, we review the last decade of research. We focus on…

Artificial Intelligence · Computer Science 2021-09-23 Andrew Cropper , Sebastijan Dumančić , Richard Evans , Stephen H. Muggleton

Typical models of learning assume incremental estimation of continuously-varying decision variables like expected rewards. However, this class of models fails to capture more idiosyncratic, discrete heuristics and strategies that people and…

Machine Learning · Computer Science 2024-02-27 Carlos G. Correa , Thomas L. Griffiths , Nathaniel D. Daw

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

Inductive logic programming is a form of machine learning based on mathematical logic that generates logic programs from given examples and background knowledge. In this project, we extend the Popper ILP system to make use of multi-task…

Machine Learning · Computer Science 2022-08-25 Bogdan Cretu , Andrew Cropper

The trade-off between expressiveness and interpretability remains a core challenge when building human-centric predictive models for classification and decision-making. While symbolic rules offer interpretability, they often lack…

Artificial Intelligence · Computer Science 2024-06-26 Ruochen Wang , Si Si , Felix Yu , Dorothea Wiesmann , Cho-Jui Hsieh , Inderjit Dhillon

We present probabilistic neural programs, a framework for program induction that permits flexible specification of both a computational model and inference algorithm while simultaneously enabling the use of deep neural networks.…

Neural and Evolutionary Computing · Computer Science 2016-12-05 Kenton W. Murray , Jayant Krishnamurthy

We describe an inductive logic programming (ILP) approach called learning from failures. In this approach, an ILP system (the learner) decomposes the learning problem into three separate stages: generate, test, and constrain. In the…

Artificial Intelligence · Computer Science 2020-11-26 Andrew Cropper , Rolf Morel

Answer set programming (ASP) and planning are two widely used paradigms for solving logic programs with declarative programming. In both cases, the quality of the input programs has a major influence on the quality and performance of the…

Logic in Computer Science · Computer Science 2019-05-09 Patrick Lühne

Many real world domains require the representation of a measure of uncertainty. The most common such representation is probability, and the combination of probability with logic programs has given rise to the field of Probabilistic Logic…

Artificial Intelligence · Computer Science 2011-07-26 Fabrizio Riguzzi , Terrance Swift

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

Recently there has been an increasing interest in incorporating ``intensional'' functions in answer set programming. Intensional functions are those whose values can be described by other functions and predicates, rather than being…

Artificial Intelligence · Computer Science 2026-05-12 Michael Bartholomew , Joohyung Lee

Probabilistic Logic Programming (PLP), exemplified by Sato and Kameya's PRISM, Poole's ICL, Raedt et al's ProbLog and Vennekens et al's LPAD, is aimed at combining statistical and logical knowledge representation and inference. A key…

Artificial Intelligence · Computer Science 2012-10-09 Muhammad Asiful Islam , C. R. Ramakrishnan , I. V. Ramakrishnan

Answer Set Programming (ASP) is a truly-declarative programming paradigm proposed in the area of non-monotonic reasoning and logic programming, that has been recently employed in many applications. The development of efficient ASP systems…

Artificial Intelligence · Computer Science 2020-02-19 Marco Maratea , Luca Pulina , Francesco Ricca