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For Boolean satisfiability problems, the structure of the solution space is characterized by the solution graph, where the vertices are the solutions, and two solutions are connected iff they differ in exactly one variable. For this…

Computational Complexity · Computer Science 2015-10-23 Konrad W. Schwerdtfeger

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

For several reasons a database may not satisfy a given set of integrity constraints(ICs), but most likely most of the information in it is still consistent with those ICs; and could be retrieved when queries are answered. Consistent answers…

Databases · Computer Science 2007-05-23 Loreto Bravo , Leopoldo Bertossi

A well-established and fundamental insight in database theory is that negation (also known as complementation) tends to make queries difficult to process and difficult to reason about. Many basic problems are decidable and admit practical…

Databases · Computer Science 2012-03-02 Vince Barany , Balder ten Cate , Martin Otto

We study the complexity of answer counting for ontology-mediated queries and for querying under constraints, considering conjunctive queries and unions thereof (UCQs) as the query language and guarded TGDs as the ontology and constraint…

Databases · Computer Science 2024-02-14 Cristina Feier , Carsten Lutz , Marcin Przybyłko

We initiate the study of constraint satisfaction problems (CSPs) in the presence of counting quantifiers, which may be seen as variants of CSPs in the mould of quantified CSPs (QCSPs). We show that a single counting quantifier strictly…

Computational Complexity · Computer Science 2011-12-14 Florent Madelaine , Barnaby Martin , Juraj Stacho

For Boolean satisfiability problems, the structure of the solution space is characterized by the solution graph, where the vertices are the solutions, and two solutions are connected iff they differ in exactly one variable. Motivated by…

Computational Complexity · Computer Science 2015-10-26 Konrad W. Schwerdtfeger

A query Q is monotonically determined over a set of views if Q can be expressed as a monotonic function of the view image. In the case of relational algebra views and queries, monotonic determinacy coincides with rewritability as a union of…

Logic in Computer Science · Computer Science 2020-03-13 Michael Benedikt , Stanislav Kikot , Piotr Ostropolski-Nalewaja , Miguel Romero

Several important decision problems on conjunctive queries (CQs) are NP-complete in general but become tractable, and actually highly parallelizable, if restricted to acyclic or nearly acyclic queries. Examples are the evaluation of Boolean…

Databases · Computer Science 2007-05-23 G. Gottlob , N. Leone , F. Scarcello

In the context of ontology-mediated querying with description logics (DLs), we study the data complexity of queries in which selected predicates can be closed (OMQCs). We provide a non-uniform analysis, aiming at a classification of the…

Logic in Computer Science · Computer Science 2023-06-22 Carsten Lutz , Inanc Seylan , Frank Wolter

We study the complexity of evaluating positive equality-free sentences of first-order (FO) logic over a fixed, finite structure B. This may be seen as a natural generalisation of the non-uniform quantified constraint satisfaction problem…

Logic in Computer Science · Computer Science 2010-03-04 Florent Madelaine , Barnaby Martin

The framework of database repairs and consistent answers to queries is a principled approach to managing inconsistent databases. We describe the first system able to compute the consistent answers of general aggregation queries with the…

Databases · Computer Science 2021-11-15 Akhil A. Dixit , Phokion G. Kolaitis

The Shapes Constraint Language (SHACL) was standardized by the World Wide Web as a constraint language to describe and validate RDF data graphs. SHACL uses the notion of shapes graph to describe a set of shape constraints paired with…

Computational Complexity · Computer Science 2024-08-01 Shqiponja Ahmetaj , Timo Camillo Merkl , Reinhard Pichler

Boolean satisfiability problems are an important benchmark for questions about complexity, algorithms, heuristics and threshold phenomena. Recent work on heuristics, and the satisfiability threshold has centered around the structure and…

Computational Complexity · Computer Science 2007-10-03 Parikshit Gopalan , Phokion G. Kolaitis , Elitza Maneva , Christos H. Papadimitriou

Our concern is the data complexity of answering linear monadic datalog queries whose atoms in the rule bodies can be prefixed by operators of linear temporal logic LTL. We first observe that, for data complexity, answering any connected…

Artificial Intelligence · Computer Science 2025-01-24 Alessandro Artale , Anton Gnatenko , Vladislav Ryzhikov , Michael Zakharyaschev

The fundamental question considered in algorithms on strings is that of indexing, that is, preprocessing a given string for specific queries. By now we have a number of efficient solutions for this problem when the queries ask for an exact…

Data Structures and Algorithms · Computer Science 2023-04-04 Paweł Gawrychowski , Garance Gourdel , Tatiana Starikovskaya , Teresa Anna Steiner

Evaluating conjunctive queries and solving constraint satisfaction problems are fundamental problems in database theory and artificial intelligence, respectively. These problems are NP-hard, so that several research efforts have been made…

Databases · Computer Science 2013-01-01 Gianluigi Greco , Francesco Scarcello

Consistency of knowledge repositories is of prime importance in organization management. Integrity constraints are a well-known vehicle for specifying data consistency requirements in knowledge bases; in particular, active integrity…

The CAP Theorem shows that (strong) Consistency, Availability, and Partition tolerance are impossible to be ensured together. Causal consistency is one of the weak consistency models that can be implemented to ensure availability and…

Databases · Computer Science 2021-03-01 Rachid Zennou , Ranadeep Biswas , Ahmed Bouajjani , Constantin Enea , Mohammed Erradi

In their classical 1993 paper [CV93] Chaudhuri and Vardi notice that some fundamental database theory results and techniques fail to survive when we try to see query answers as bags (multisets) of tuples rather than as sets of tuples. But…

Databases · Computer Science 2021-12-24 Jarosław Kwiecień , Jerzy Marcinkowski , Piotr Ostropolski-Nalewaja