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Conjunctive queries play an important role as an expressive query language for Description Logics (DLs). Although modern DLs usually provide for transitive roles, conjunctive query answering over DL knowledge bases is only poorly understood…

Artificial Intelligence · Computer Science 2011-11-02 Birte Glimm , Ian Horrocks , Carsten Lutz , Ulrike Sattler

We investigate determining the exact bounds of the frequencies of conjunctions based on frequent sets. Our scenario is an important special case of some general probabilistic logic problems that are known to be intractable. We show that…

Computational Complexity · Computer Science 2019-02-05 Nikolaj Tatti

In this paper, we study consistent query answering in tables with nulls and functional dependencies. Given such a table T, we consider the set Tuples of all tuples that can be built up from constants appearing in T, and we use set theoretic…

Databases · Computer Science 2023-02-16 Dominique Laurent , Nicolas Spyratos

We study the uniform query reliability problem, which asks, for a fixed Boolean query Q, given an instance I, how many subinstances of I satisfy Q. Equivalently, this is a restricted case of Boolean query evaluation on tuple-independent…

Databases · Computer Science 2023-01-18 Antoine Amarilli

The Algebraic Dichotomy Conjecture states that the Constraint Satisfaction Problem over a fixed template is solvable in polynomial time if the algebra of polymorphisms associated to the template lies in a Taylor variety, and is NP-complete…

Logic in Computer Science · Computer Science 2015-07-01 Libor Barto , Marcin Kozik

We consider conjunctive queries with arithmetic comparisons (CQAC) and investigate the computational complexity of the problem: Given two CQAC queries, $Q$ and $Q'$, is $Q'$ contained in $Q$? We know that, for CQAC queries, the problem of…

Databases · Computer Science 2026-05-26 Foto N. Afrati , Matthew Damigos

We investigate the problem of identifying database repairs for missing tuples in query answers. We show that when the query is part of the input - the combined complexity setting - determining whether or not a repair exists is…

Databases · Computer Science 2026-01-13 Jesse Comer , Val Tannen

The 1-in-3 and Not-All-Equal satisfiability problems for Boolean CNF formulas are two well-known NP-hard problems. In contrast, the promise 1-in-3 vs. Not-All-Equal problem can be solved in polynomial time. In the present work, we…

Computational Complexity · Computer Science 2025-05-09 Lorenzo Ciardo , Marcin Kozik , Andrei Krokhin , Tamio-Vesa Nakajima , Stanislav Živný

A temporal (constraint) language is a relational structure with a first-order definition in the rational numbers with the order. We study here the complexity of the Quantified Constraint Satisfaction Problem (QCSP) for temporal constraint…

Logic in Computer Science · Computer Science 2021-09-08 Michał Wrona

We study the complexity of ontology-mediated querying when ontologies are formulated in the guarded fragment of first-order logic (GF). Our general aim is to classify the data complexity on the level of ontologies where query evaluation…

Databases · Computer Science 2018-04-20 Andre Hernich , Carsten Lutz , Fabio Papacchini , Frank Wolter

We prove a complexity dichotomy for the resilience problem for unions of conjunctive digraph queries (i.e., for existential positive sentences over the signature $\{R\}$ of directed graphs). Specifically, for every union $\mu$ of…

Logic · Mathematics 2026-01-12 Manuel Bodirsky , Žaneta Semanišinová

Schaefer's dichotomy theorem [Schaefer, STOC'78] states that a boolean constraint satisfaction problem (CSP) is polynomial-time solvable if one of six given conditions holds for every type of constraint allowed in its instances. Otherwise,…

Computational Complexity · Computer Science 2023-07-10 Patrick Schnider , Simon Weber

We present an approach to computing consistent answers to queries possibly involving an aggregation operator in databases operating under a star schema and possibly containing missing values and inconsistent data. Our approach is based on…

Databases · Computer Science 2026-02-05 Dominique Laurent , Nicolas Spyratos

We address the problem of determining if a discrete time switched consensus system converges for any switching sequence and that of determining if it converges for at least one switching sequence. For these two problems, we provide…

Systems and Control · Computer Science 2015-05-22 Pierre-Yves Chevalier , Julien M. Hendrickx , Raphaël M. Jungers

We study the computational problem of checking whether a quantified conjunctive query (a first-order sentence built using only conjunction as Boolean connective) is true in a finite poset (a reflexive, antisymmetric, and transitive directed…

Logic in Computer Science · Computer Science 2014-08-20 Simone Bova , Robert Ganian , Stefan Szeider

The quantified constraint satisfaction problem (QCSP) is the problem of deciding, given a structure and a first-order prenex sentence whose quantifier-free part is the conjunction of atoms, whether or not the sentence holds on the…

Logic in Computer Science · Computer Science 2015-03-20 Hubie Chen

We propose a norm of consistency for a mixed set of defeasible and strict sentences, based on a probabilistic semantics. This norm establishes a clear distinction between knowledge bases depicting exceptions and those containing outright…

Artificial Intelligence · Computer Science 2013-04-08 Moises Goldszmidt , Judea Pearl

Given a conjunctive query $Q$ and a database $D$, a direct access to the answers of $Q$ over $D$ is the operation of returning, given an index $k$, the $k$-th answer for some order on its answers. While this problem is $\#\mathcal{P}$-hard…

Databases · Computer Science 2026-03-18 Florent Capelli , Nofar Carmeli , Oliver Irwin , Sylvain Salvati

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

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