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The interest in the combination of probability with logics for modeling the world has rapidly increased in the last few years. One of the most effective approaches is the Distribution Semantics which was adopted by many logic programming…

Artificial Intelligence · Computer Science 2015-01-30 Riccardo Zese

While there exist several reasoners for Description Logics, very few of them can cope with uncertainty. BUNDLE is an inference framework that can exploit several OWL (non-probabilistic) reasoners to perform inference over Probabilistic…

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

Probabilistic Logic Programs (PLPs) generalize traditional logic programs and allow the encoding of models combining logical structure and uncertainty. In PLP, inference is performed by summarizing the possible worlds which entail the query…

Logic in Computer Science · Computer Science 2018-04-30 Arun Nampally , Timothy Zhang , C. R. Ramakrishnan

We present Probabilistic Decision Model and Notation (pDMN), a probabilistic extension of Decision Model and Notation (DMN). DMN is a modeling notation for deterministic decision logic, which intends to be user-friendly and low in…

Artificial Intelligence · Computer Science 2021-10-06 Simon Vandevelde , Victor Verreet , Luc De Raedt , Joost Vennekens

The necessity to manage inconsistency in Description Logics Knowledge Bases (KBs) has come to the fore with the increasing importance gained by the Semantic Web, where information comes from different sources that constantly change their…

Artificial Intelligence · Computer Science 2025-08-06 Riccardo Zese , Evelina Lamma , Fabrizio Riguzzi

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

Probabilistic extensions of logic programming languages, such as ProbLog, integrate logical reasoning with probabilistic inference to evaluate probabilities of output relations; however, prior work does not account for potential statistical…

Programming Languages · Computer Science 2025-08-22 Jingbo Wang , Shashin Halalingaiah , Weiyi Chen , Chao Wang , Isil Dillig

The role of uncertainty in data management has become more prominent than ever before, especially because of the growing importance of machine learning-driven applications that produce large uncertain databases. A well-known approach to…

Databases · Computer Science 2023-04-13 Efthymia Tsamoura , Jaehun Lee , Jacopo Urbani

The emergence of tools based on artificial intelligence has also led to the need of producing explanations which are understandable by a human being. In most approaches, the system is considered a black box, making it difficult to generate…

Artificial Intelligence · Computer Science 2024-10-23 Germán Vidal

We present a formulation of the problem of probabilistic model checking as one of query evaluation over probabilistic logic programs. To the best of our knowledge, our formulation is the first of its kind, and it covers a rich class of…

Logic in Computer Science · Computer Science 2012-04-24 Andrey Gorlin , C. R. Ramakrishnan , Scott A. Smolka

We introduce SMProbLog, a generalization of the probabilistic logic programming language ProbLog. A ProbLog program defines a distribution over logic programs by specifying for each clause the probability that it belongs to a randomly…

Artificial Intelligence · Computer Science 2021-10-08 Pietro Totis , Angelika Kimmig , Luc De Raedt

We present SGDPLL(T), an algorithm that solves (among many other problems) probabilistic inference modulo theories, that is, inference problems over probabilistic models defined via a logic theory provided as a parameter (currently,…

Artificial Intelligence · Computer Science 2016-05-30 Rodrigo de Salvo Braz , Ciaran O'Reilly , Vibhav Gogate , Rina Dechter

Argumentation problems are concerned with determining the acceptability of a set of arguments from their relational structure. When the available information is uncertain, probabilistic argumentation frameworks provide modelling tools to…

Artificial Intelligence · Computer Science 2023-04-18 Pietro Totis , Angelika Kimmig , Luc De Raedt

To appear in Theory and Practice of Logic Programming (TPLP). Tabling is a commonly used technique in logic programming for avoiding cyclic behavior of logic programs and enabling more declarative program definitions. Furthermore, tabling…

Programming Languages · Computer Science 2020-02-19 Thepfrastos Mantadelis , Ricardo Rocha , Paulo Moura

We propose a framework for modeling uncertainty where both belief and doubt can be given independent, first-class status. We adopt probability theory as the mathematical formalism for manipulating uncertainty. An agent can express the…

Databases · Computer Science 2007-05-23 Laks V. S. Lakshmanan , Fereidoon Sadri

The generation of comprehensible explanations is an essential feature of modern artificial intelligence systems. In this work, we consider probabilistic logic programming, an extension of logic programming which can be useful to model…

Artificial Intelligence · Computer Science 2023-08-17 Germán Vidal

Over the past three decades, the logic programming paradigm has been successfully expanded to support probabilistic modeling, inference and learning. The resulting paradigm of probabilistic logic programming (PLP) and its programming…

Artificial Intelligence · Computer Science 2024-09-10 Pedro Zuidberg Dos Martires , Luc De Raedt , Angelika Kimmig

ProbLog is a popular probabilistic logic programming language/tool, widely used for applications requiring to deal with inherent uncertainties in structured domains. In this paper we study connections between ProbLog and a variant of…

Artificial Intelligence · Computer Science 2023-08-31 Francesca Toni , Nico Potyka , Markus Ulbricht , Pietro Totis

The distribution semantics is one of the most prominent approaches for the combination of logic programming and probability theory. Many languages follow this semantics, such as Independent Choice Logic, PRISM, pD, Logic Programs with…

Artificial Intelligence · Computer Science 2011-10-05 Fabrizio Riguzzi , Terrance Swift

When doing inference in ProbLog, a probabilistic extension of Prolog, we extend SLD resolution with some additional bookkeeping. This additional information is used to compute the probabilistic results for a probabilistic query. In Prolog's…

Programming Languages · Computer Science 2011-12-19 Theofrastos Mantadelis , Gerda Janssens
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