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Existential rules form an expressive Datalog-based language to specify ontological knowledge. The presence of existential quantification in rule-heads, however, makes the main reasoning tasks undecidable. To overcome this limitation, in the…

Computational Complexity · Computer Science 2023-07-25 Georg Gottlob , Marco Manna , Cinzia Marte

This paper describes a technique for inferring temporal-logic properties for sets of finite data streams. Such data streams arise in many domains, including server logs, program testing, and financial and marketing data; temporal-logic…

Logic in Computer Science · Computer Science 2020-06-09 Samuel Huang , Rance Cleaveland

In complex reasoning tasks, as expressible by Answer Set Programming (ASP), problems often permit for multiple solutions. In dynamic environments, where knowledge is continuously changing, the question arises how a given model can be…

Logic in Computer Science · Computer Science 2017-07-19 Harald Beck , Thomas Eiter , Christian Folie

Our manuscript studies linear temporal (with UNTIL and NEXT) logic based at a conception of intransitive time. non-transitive time. In particular, we demonstrate how the notion of knowledge might be represented in such a framework (here we…

Logic in Computer Science · Computer Science 2015-03-31 Vladimir Rybakov

Continuous queries over data streams may suffer from blocking operations and/or unbound wait, which may delay answers until some relevant input arrives through the data stream. These delays may turn answers, when they arrive, obsolete to…

Programming Languages · Computer Science 2024-01-17 Luís Cruz-Filipe , Graça Gaspar , Isabel Nunes

We consider existential rules (aka Datalog+) as a formalism for specifying ontologies. In recent years, many classes of existential rules have been exhibited for which conjunctive query (CQ) entailment is decidable. However, most of these…

Artificial Intelligence · Computer Science 2017-01-06 Jean-François Baget , Meghyn Bienvenu , Marie-Laure Mugnier , Swan Rocher

More and more, data is being produced in a streaming fashion. This has led to increased interest into how actionable insights can be extracted in real time from data streams through Stream Reasoning. Reasoning over data streams raises…

Artificial Intelligence · Computer Science 2026-03-03 Cas Proost , Pieter Bonte

Existential rules are a prominent formalism to enrich a database with knowledge from the domain of interest, but make even basic reasoning tasks on the resulting knowledge base undecidable. To circumvent this, several classes of rules…

Databases · Computer Science 2026-05-13 Lucas Larroque , Quentin Manière

The rise of smart applications has drawn interest to logical reasoning over data streams. Recently, different query languages and stream processing/reasoning engines were proposed in different communities. However, due to a lack of…

Artificial Intelligence · Computer Science 2015-05-21 Harald Beck , Minh Dao-Tran , Thomas Eiter , Michael Fink

Finite chase, or alternatively chase termination, is an important condition to ensure the decidability of existential rule languages. In the past few years, a number of rule languages with finite chase have been studied. In this work, we…

Artificial Intelligence · Computer Science 2015-01-12 Heng Zhang , Yan Zhang , Jia-Huai You

Chase algorithms are indispensable in the domain of knowledge base querying, which enable the extraction of implicit knowledge from a given database via applications of rules from a given ontology. Such algorithms have proved beneficial in…

Logic in Computer Science · Computer Science 2023-06-06 Tim S. Lyon , Piotr Ostropolski-Nalewaja

Existential rules, a.k.a. dependencies in databases, and Datalog+/- in knowledge representation and reasoning recently, are a family of important logical languages widely used in computer science and artificial intelligence. Towards a deep…

Artificial Intelligence · Computer Science 2020-01-24 Heng Zhang , Yan Zhang , Guifei Jiang

We study the interaction of views, queries, and background knowledge in the form of existential rules. The motivating questions concern monotonic determinacy of a query using views w.r.t. rules, which refers to the ability to recover the…

Databases · Computer Science 2024-07-23 Michael Benedikt , Stanislav Kikot , Johannes Marti , Piotr Ostropolski-Nalewaja

Existential rules are a positive fragment of first-order logic that generalizes function-free Horn rules by allowing existentially quantified variables in rule heads. This family of languages has recently attracted significant interest in…

Artificial Intelligence · Computer Science 2021-01-13 Stathis Delivorias , Michel Leclère , Marie-Laure Mugnier , Federico Ulliana

Several types of dependencies have been proposed for the static analysis of existential rule ontologies, promising insights about computational properties and possible practical uses of a given set of rules, e.g., in ontology-based query…

Artificial Intelligence · Computer Science 2022-07-21 Larry González , Alex Ivliev , Markus Krötzsch , Stephan Mennicke

The chase is a sound, complete, but possibly non-terminating algorithm for reasoning with existential rules (aka. tuple-generating dependencies), a highly expressive knowledge representation language. Although the procedure appears simple,…

Logic in Computer Science · Computer Science 2026-04-27 Lukas Gerlach

The paper investigates the relative expressiveness of two logic-based languages for reasoning over streams, namely LARS Programs -- the language of the Logic-based framework for Analytic Reasoning over Streams called LARS -- and LDSR -- the…

Artificial Intelligence · Computer Science 2022-08-29 Nicola Leone , Marco Manna , Maria Concetta Morelli , Simona Perri

Ontology-based query answering (OBQA) asks whether a Boolean conjunctive query is satisfied by all models of a logical theory consisting of a relational database paired with an ontology. The introduction of existential rules (i.e., Datalog…

Logic in Computer Science · Computer Science 2017-07-07 Giovanni Amendola , Nicola Leone , Marco Manna

The amount of information produced, whether by newspapers, blogs and social networks, or by monitoring systems, is increasing rapidly. Processing all this data in real-time, while taking into consideration advanced knowledge about the…

Artificial Intelligence · Computer Science 2021-07-19 Ricardo Ferreira , Carolina Lopes , Ricardo Gonçalves , Matthias Knorr , Ludwig Krippahl , João Leite

We propose a simple calculus for processing data streams (infinite flows of data series), represented by finite sets of equations built on stream operators. Furthermore, functions defining streams are regularly corecursive, that is, cyclic…

Programming Languages · Computer Science 2021-08-03 Davide Ancona , Pietro Barbieri , Elena Zucca