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We provide a comprehensive elaboration of the theoretical foundations of variable instantiation, or grounding, in Answer Set Programming (ASP). Building on the semantics of ASP's modeling language, we introduce a formal characterization of…

Artificial Intelligence · Computer Science 2022-07-26 Roland Kaminski , Torsten Schaub

In this paper, we explore the issue of inconsistency handling over prioritized knowledge bases (KBs), which consist of an ontology, a set of facts, and a priority relation between conflicting facts. In the database setting, a closely…

Logic in Computer Science · Computer Science 2026-05-27 Meghyn Bienvenu , Camille Bourgaux

We consider the problem of answering conjunctive queries with aggregation on database instances that may violate primary key constraints. In SQL, these queries follow the SELECT-FROM-WHERE-GROUP BY format, where the WHERE-clause involves a…

Databases · Computer Science 2024-09-04 Aziz Amezian El Khalfioui , Jef Wijsen

A common interpretation of soft constraints penalizes the database for every violation of every constraint, where the penalty is the cost (weight) of the constraint. A computational challenge is that of finding an optimal subset: a…

Databases · Computer Science 2020-09-30 Nofar Carmeli , Martin Grohe , Benny Kimelfeld , Ester Livshits , Muhammad Tibi

Answer set programming (ASP) is a logic programming formalism used in various areas of artificial intelligence like combinatorial problem solving and knowledge representation and reasoning. It is known that enhancing ASP with function…

Artificial Intelligence · Computer Science 2025-09-24 Lukas Gerlach , David Carral , Markus Hecher

We analyze the problem of defining well-founded semantics for ordered logic programs within a general framework based on alternating fixpoint theory. We start by showing that generalizations of existing answer set approaches to preference…

Artificial Intelligence · Computer Science 2007-05-23 Torsten Schaub , Kewen Wang

Well-founded fixed points have been used in several areas of knowledge representation and reasoning and to give semantics to logic programs involving negation. They are an important ingredient of approximation fixed point theory. We study…

Discrete Mathematics · Computer Science 2015-12-02 Arnaud Carayol , Zoltan Esik

We propose and investigate a semantics for "peer data exchange systems" where different peers are related by data exchange constraints and trust relationships. These two elements plus the data at the peers' sites and their local integrity…

Databases · Computer Science 2016-08-03 Leopoldo Bertossi , Loreto Bravo

Within the research area of deductive databases three different database tasks have been deeply investigated: query evaluation, update propagation and view updating. Over the last thirty years various inference mechanisms have been proposed…

Databases · Computer Science 2011-08-30 Andreas Behrend

Various strategies are available to construct iteratively a common fixed point of nonexpansive operators by activating only a block of operators at each iteration. In the more challenging class of composite fixed point problems involving…

Optimization and Control · Mathematics 2021-02-09 Patrick L. Combettes , Lilian E. Glaudin

In this work, answer-set programs that specify repairs of databases are used as a basis for solving computational and reasoning problems about causes for query answers from databases.

Databases · Computer Science 2017-06-27 Leopoldo Bertossi

Whether it is for audit or for recovery purposes, data checkpointing is an important problem of distributed database systems. Actually, transactions establish dependence relations on data checkpoints taken by data object managers. So, given…

Databases · Computer Science 2007-05-23 R. Baldoni , F. Quaglia , M. Raynal

A key task in the context of consistent query answering is to count the number of repairs that entail the query, with the ultimate goal being a precise data complexity classification. This has been achieved in the case of primary keys and…

Databases · Computer Science 2024-04-10 Marco Calautti , Ester Livshits , Andreas Pieris , Markus Schneider

The connection between subset-maximal repairs for inconsistent databases involving various integrity constraints and acceptable sets of arguments within argumentation frameworks has recently drawn growing interest. In this paper, we…

Databases · Computer Science 2026-05-06 Yasir Mahmood , Jonni Virtema , Timon Barlag , Axel-Cyrille Ngonga Ngomo

In many real-world scenarios, query results must satisfy domain-specific constraints. For instance, a minimum percentage of interview candidates selected based on their qualifications should be female. These requirements can be expressed as…

Databases · Computer Science 2025-11-04 Shatha Algarni , Boris Glavic , Seokki Lee , Adriane Chapman

Consistent query answering is an inconsistency tolerant approach to obtaining semantically correct answers from a database that may be inconsistent with respect to its integrity constraints. In this work we formalize the notion of…

Databases · Computer Science 2011-06-09 M. Andrea Rodríguez , Leopoldo Bertossi , Monica Caniupan

A database D may be inconsistent wrt a given set IC of integrity constraints. Consistent Query Answering (CQA) is the problem of computing from D the answers to a query that are consistent wrt IC . Consistent answers are invariant under all…

Databases · Computer Science 2016-05-24 Andrei Lopatenko , Leopoldo Bertossi

The chase procedure, an algorithm proposed 25+ years ago to fix constraint violations in database instances, has been successfully applied in a variety of contexts, such as query optimization, data exchange, and data integration. Its…

Databases · Computer Science 2009-05-06 Michael Meier , Michael Schmidt , Georg Lausen

This paper addresses the problem of representing the set of repairs of a possibly inconsistent database by means of a disjunctive database. Specifically, the class of denial constraints is considered. We show that, given a database and a…

Databases · Computer Science 2008-11-14 Cristian Molinaro , Jan Chomicki , Jerzy Marcinkowski

In a data exchange setting with target constraints, it is often the case that a given source instance has no solutions. In such cases, the semantics of target queries trivialize. The aim of this paper is to introduce and explore a new…

Databases · Computer Science 2015-09-23 Balder ten Cate , Richard L. Halpert , Phokion G. Kolaitis