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Conjunctive queries are basic and heavily studied database queries; in relational algebra, they are the select-project-join queries. In this article, we study the fundamental problem of counting, given a conjunctive query and a relational…

Computational Complexity · Computer Science 2015-01-22 Hubie Chen , Stefan Mengel

Querying graph databases has recently received much attention. We propose a new approach to this problem, which balances competing goals of expressive power, language clarity and computational complexity. A distinctive feature of our…

Databases · Computer Science 2017-10-13 Jakub Michaliszyn , Jan Otop , Piotr Wieczorek

A booming amount of information is continuously added to the Internet as structured and unstructured data, feeding knowledge bases such as DBpedia and Wikidata with billions of statements describing millions of entities. The aim of Question…

Computation and Language · Computer Science 2020-10-22 Anand Panchbhai , Tommaso Soru , Edgard Marx

Constraints are powerful declarative constructs that allow users to conveniently restrict variable values that potentially range over an infinite domain. In this paper, we propose a constraint path query language over property graphs, which…

Databases · Computer Science 2025-12-02 Heyang Li , Anthony Widjaja Lin , Domagoj Vrgoč

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

Databases · Computer Science 2014-07-01 Babak Salimi , Leopoldo Bertossi

We propose an efficient and scalable architecture for processing generalized graph-pattern queries as they are specified by the current W3C recommendation of the SPARQL 1.1 "Query Language" component. Specifically, the class of queries we…

Databases · Computer Science 2016-12-21 Sairam Gurajada , Martin Theobald

In this paper we develop an algebraic approach to data integration by combining techniques from functional programming, category theory, and database theory. In our formalism, database schemas and instances are algebraic (multi-sorted…

Databases · Computer Science 2025-03-31 Patrick Schultz , Ryan Wisnesky

We continue the investigation of tabular algebras with trace (a certain class of associative ${\Bbb Z}[v, v^{-1}]$-algebras equipped with distinguished bases) by determining the extent to which the tabular structure may be recovered from a…

Quantum Algebra · Mathematics 2007-05-23 R. M. Green

Certifying feasibility in decision-making, critical in many industries, can be framed as a constraint satisfaction problem. This paper focuses on characterising a subset of parameter values from an a priori set that satisfy constraints on a…

Systems and Control · Electrical Eng. & Systems 2025-11-14 Max Mowbray , Nilay Shah , Benoît Chachuat

In the deeply interconnected world we live in, pieces of information link domains all around us. As graph databases embrace effectively relationships among data and allow processing and querying these connections efficiently, they are…

Databases · Computer Science 2023-04-04 Sergio Abriola , Santiago Cifuentes , María Vanina Martínez , Nina Pardal , Edwin Pin

With the adoption of RDF as the data model for Linked Data and the Semantic Web, query specification from end- users has become more and more common in SPARQL end- points. In this paper, we conduct an in-depth analytical study of the…

Databases · Computer Science 2017-08-02 Angela Bonifati , Wim Martens , Thomas Timm

We study the data transformation capabilities associated with schemas that are presented by directed multi-graphs and path equations. Unlike most approaches which treat graph-based schemas as abbreviations for relational schemas, we treat…

Databases · Computer Science 2015-07-28 David I. Spivak , Ryan Wisnesky

We introduce indexing of tables referencing complex structures such as digraphs and spatial objects, appearing in genetics and other data intensive analysis. The indexing is achieved by extracting dimension schemas from the referenced…

Databases · Computer Science 2007-05-23 Agust S. Egilsson , Hakon Gudbjartsson

This document defines extensions of the RDF data model and of the SPARQL query language that capture an alternative approach to represent statement-level metadata. While this alternative approach is backwards compatible with RDF reification…

Databases · Computer Science 2021-12-17 Olaf Hartig , Bryan Thompson

Many new database application domains such as experimental sciences and medicine are characterized by large sequences as their main form of data. Using approximate representation can significantly reduce the required storage and search…

Databases · Computer Science 2019-04-22 Hagit Shatkay , Stanley B. Zdonik

We develop a general framework for working with structured lifting problems, establishing closure and uniqueness properties of their solutions. In a subsequent paper, we apply these results to axiomatize computation rules of cubical type…

Category Theory · Mathematics 2025-12-18 Chris Kapulkin , Yufeng Li

We study the problem of lifting and restricting TTF triples (equivalently, recollement data) for a certain wide type of triangulated categories. This, together with the parametrizations of TTF triples given in "Parametrizing recollement…

Representation Theory · Mathematics 2010-10-05 Pedro Nicolas , Manuel Saorin

An algebraic telic problem is a decision problem in $\textsf{NP}_\mathbb{R}$ formalizing finite-time reachability questions for one-dimensional dynamical systems. We prove that the existence of "natural" mapping reductions between algebraic…

Computational Complexity · Computer Science 2026-01-16 Samuel Everett

Several variants of the Constraint Satisfaction Problem have been proposed and investigated in the literature for modelling those scenarios where solutions are associated with some given costs. Within these frameworks computing an optimal…

Artificial Intelligence · Computer Science 2012-09-18 Georg Gottlob , Gianluigi Greco , Francesco Scarcello

Lifted inference exploits symmetries in probabilistic graphical models by using a representative for indistinguishable objects, thereby speeding up query answering while maintaining exact answers. Even though lifting is a well-established…

Artificial Intelligence · Computer Science 2024-03-18 Malte Luttermann , Mattis Hartwig , Tanya Braun , Ralf Möller , Marcel Gehrke
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