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In this paper, we consider a tree-structured data model used in many commercial databases like Dremel, F1, JSON stores. We define identity and referential constraints within each tree-structured record. The query language is a variant of…

Databases · Computer Science 2021-09-01 Foto N. Afrati , Matthew Damigos

In this note we investigate the relationship between worst-case quantum query complexity and average-case classical query complexity. Specifically, we show that if a quantum computer can evaluate a total Boolean function f with bounded…

Computational Complexity · Computer Science 2012-01-19 Scott Aaronson

In this article we formally define and investigate the computational complexity of the Definability Problem for open first-order formulas (i.e., quantifier free first-order formulas) with equality. Given a logic $\mathbf{\mathcal{L}}$, the…

Computational Complexity · Computer Science 2019-04-10 Carlos Areces , Miguel Campercholi , Daniel Penazzi , Pablo Ventura

In this paper, we investigate which questions are challenging for retrieval-based Question Answering (QA). We (i) propose retrieval complexity (RC), a novel metric conditioned on the completeness of retrieved documents, which measures the…

Computation and Language · Computer Science 2024-06-07 Matteo Gabburo , Nicolaas Paul Jedema , Siddhant Garg , Leonardo F. R. Ribeiro , Alessandro Moschitti

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

We study the enumeration of answers to Unions of Conjunctive Queries (UCQs) with optimal time guarantees. More precisely, we wish to identify the queries that can be solved with linear preprocessing time and constant delay. Despite the…

Databases · Computer Science 2025-04-02 Karl Bringmann , Nofar Carmeli

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

In this work we establish and investigate connections between causes for query answers in databases, database repairs wrt. denial constraints, and consistency-based diagnosis. The first two are relatively new research areas in databases,…

Databases · Computer Science 2016-10-25 Leopoldo Bertossi , Babak Salimi

A conjunctive query (CQ) is semantically acyclic if it is equivalent to an acyclic one. Semantic acyclicity has been studied in the constraint-free case, and deciding whether a query enjoys this property is NP-complete. However, in case the…

Databases · Computer Science 2016-06-06 Pablo Barcelo , Georg Gottlob , Andreas Pieris

A binary matrix satisfies the consecutive ones property (COP) if its columns can be permuted such that the ones in each row of the resulting matrix are consecutive. Equivalently, a family of sets F = {Q_1,..,Q_m}, where Q_i is subset of R…

Data Structures and Algorithms · Computer Science 2015-03-18 Giovanni Battaglia , Roberto Grossi , Noemi Scutellà

We introduce the logic FOCN(P) which extends first-order logic by counting and by numerical predicates from a set P, and which can be viewed as a natural generalisation of various counting logics that have been studied in the literature. We…

Logic in Computer Science · Computer Science 2017-03-06 Dietrich Kuske , Nicole Schweikardt

Regular Path Queries (RPQs), which are essentially regular expressions to be matched against the labels of paths in labeled graphs, are at the core of graph database query languages like SPARQL. A way to solve RPQs is to translate them into…

Data Structures and Algorithms · Computer Science 2024-04-24 Diego Arroyuelo , Adrián Gómez-Brandón , Gonzalo Navarro

Open-world query answering is the problem of deciding, given a set of facts, conjunction of constraints, and query, whether the facts and constraints imply the query. This amounts to reasoning over all instances that include the facts and…

Logic in Computer Science · Computer Science 2020-03-06 Antoine Amarilli , Michael Benedikt

Performance-critical industrial applications, including large-scale program, network, and distributed system analyses, rely on fixed-point computations. The introduction of recursive common table expressions (CTEs) using the WITH RECURSIVE…

Programming Languages · Computer Science 2026-04-27 Anna Herlihy , Amir Shaikhha , Anastasia Ailamaki , Martin Odersky

One fundamental question in database theory is the following: Given a Boolean conjunctive query Q, what is the best complexity for computing the answer to Q in terms of the input database size N? When restricted to the class of…

Databases · Computer Science 2025-03-27 Mahmoud Abo-Khamis , Xiao Hu , Dan Suciu

We investigate the query evaluation problem for fixed queries over fully dynamic databases, where tuples can be inserted or deleted. The task is to design a dynamic algorithm that immediately reports the new result of a fixed query after…

Databases · Computer Science 2017-03-01 Christoph Berkholz , Jens Keppeler , Nicole Schweikardt

This paper revisits the problem of repairing and querying inconsistent databases equipped with universal constraints. We adopt symmetric difference repairs, in which both deletions and additions of facts can be used to restore consistency,…

Databases · Computer Science 2025-09-12 Meghyn Bienvenu , Camille Bourgaux

Our concern is the problem of efficiently determining the data complexity of answering queries mediated by description logic ontologies and constructing their optimal rewritings to standard database queries. Originated in ontology-based…

Artificial Intelligence · Computer Science 2022-05-06 Olga Gerasimova , Stanislav Kikot , Agi Kurucz , Vladimir Podolskii , Michael Zakharyaschev

This is the latest in a series of articles aimed at exploring the relationship between the complexity classes of P and NP. In the previous papers, we have proved that the sat CNF problem is polynomially reduced to the problem of finding a…

Computational Complexity · Computer Science 2023-11-01 Stepan G. Margaryan

In various applications the search for certificates for certain properties (e.g., stability of dynamical systems, program termination) can be formulated as a quantified constraint solving problem with quantifier prefix exists-forall. In…

Logic in Computer Science · Computer Science 2014-06-26 Milan Hladík , Stefan Ratschan