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Query evaluation on probabilistic databases is generally intractable (#P-hard). Existing dichotomy results have identified which queries are tractable (or safe), and connected them to tractable lineages. In our previous work, using…

Databases · Computer Science 2023-04-14 Antoine Amarilli , Pierre Bourhis , Pierre Senellart

In recent years, several combinatorial problems were introduced in the area of access control. Typically, such problems deal with an authorization policy, seen as a relation $UR \subseteq U \times R$, where $(u, r) \in UR$ means that user…

Data Structures and Algorithms · Computer Science 2016-04-26 Jason Crampton , Gregory Gutin , Rémi Watrigant

Range minimum queries (RMQs) are fundamental operations with widespread applications in database management, text indexing and computational biology. While many space-efficient data structures have been designed for RMQs on arrays with…

Data Structures and Algorithms · Computer Science 2026-04-16 Seungbum Jo , Srinivasa Rao Satti

We consider the following fundamental problem: given a database D, Boolean conjunctive query (CQ) q, and fact f in D, decide whether f is relevant to q wrt. D, i.e., does f belong to a minimal subset S of D such that S |= q. Despite being…

Databases · Computer Science 2026-04-27 Meghyn Bienvenu , Diego Figueira , Pierre Lafourcade

Preferences are a pivotal component in practical reasoning, especially in tasks that involve decision-making over different options or courses of action that could be pursued. In this work, we focus on repairing and querying inconsistent…

Databases · Computer Science 2024-05-28 Nina Pardal , Santiago Cifuentes , Edwin Pin , Maria Vanina Martinez , Sergio Abriola

Extensive research in the field of ontology-based query answering has led to the identification of numerous fragments of existential rules (also known as tuple-generating dependencies) that exhibit decidable answering of atomic and…

Databases · Computer Science 2024-07-22 Piotr Ostropolski-Nalewaja , Sebastian Rudolph

We employ the Coq proof assistant to develop a mechanically-certified framework for evaluating graph queries and incrementally maintaining materialized graph instances, also called views. The language we use for defining queries and views…

Databases · Computer Science 2018-04-30 Angela Bonifati , Stefania Dumbrava , Emilio Jesus Gallego Arias

We study regular expressions that use variables, or parameters, which are interpreted as alphabet letters. We consider two classes of languages denoted by such expressions: under the possibility semantics, a word belongs to the language if…

Formal Languages and Automata Theory · Computer Science 2015-03-19 Pablo Barceló , Leonid Libkin , Juan Reutter

We study various complexity properties of suffix-free regular languages. The quotient complexity of a regular language $L$ is the number of left quotients of $L$; this is the same as the state complexity of $L$. A regular language $L'$ is a…

Formal Languages and Automata Theory · Computer Science 2016-12-13 Janusz Brzozowski , Marek Szykuła

This paper concerns the paraconsistent logic LPQ$^{\supset,\mathsf{F}}$ and an application of it in the area of relational database theory. The notions of a relational database, a query applicable to a relational database, and a consistent…

Databases · Computer Science 2024-03-15 C. A. Middelburg

In a recent thread of papers, we have introduced FQL, a precise specification language for test coverage, and developed the test case generation engine FShell for ANSI C. In essence, an FQL test specification amounts to a set of regular…

Formal Languages and Automata Theory · Computer Science 2013-05-28 Andreas Holzer , Christian Schallhart , Michael Tautschnig , Helmut Veith

Ontological queries are evaluated against a knowledge base consisting of an extensional database and an ontology (i.e., a set of logical assertions and constraints which derive new intensional knowledge from the extensional database),…

Databases · Computer Science 2014-05-13 Georg Gottlob , Giorgio Orsi , Andreas Pieris

In the \emph {barrier resilience} problem (introduced by Kumar {\em et al.}, Wireless Networks 2007), we are given a collection of regions of the plane, acting as obstacles, and we would like to remove the minimum number of regions so that…

Computational Complexity · Computer Science 2017-06-07 Matias Korman , Maarten Löffler , Rodrigo I. Silveira , Darren Strash

We study the problem of counting answers to unions of conjunctive queries (UCQs) under structural restrictions on the input query. Concretely, given a class C of UCQs, the problem #UCQ(C) provides as input a UCQ Q in C and a database D and…

Discrete Mathematics · Computer Science 2026-02-24 Jacob Focke , Leslie Ann Goldberg , Marc Roth , Stanislav Živný

This paper proposes a strategy to assess the robustness of different machine learning models that involve natural language processing (NLP). The overall approach relies upon a Search and Semantically Replace strategy that consists of two…

Computation and Language · Computer Science 2021-04-21 Rahul Singh , Karan Jindal , Yufei Yu , Hanyu Yang , Tarun Joshi , Matthew A. Campbell , Wayne B. Shoumaker

We investigate regular realizability (RR) problems, which are the problems of verifying whether intersection of a regular language -- the input of the problem -- and fixed language called filter is non-empty. We consider two kind of…

Formal Languages and Automata Theory · Computer Science 2015-03-20 Alexander A. Rubtsov

We investigate the evaluation of conjunctive queries over static and dynamic relations. While static relations are given as input and do not change, dynamic relations are subject to inserts and deletes. We characterise syntactically three…

Databases · Computer Science 2025-03-28 Ahmet Kara , Zheng Luo , Milos Nikolic , Dan Olteanu , Haozhe Zhang

Reachability queries checking the existence of a path from a source node to a target node are fundamental operators for querying and processing graph data. Current approaches for index-based evaluation of reachability queries either focus…

Databases · Computer Science 2022-07-21 Chao Zhang , Angela Bonifati , Hugo Kapp , Vlad Ioan Haprian , Jean-Pierre Lozi

Frequent pattern mining is a flagship problem in data mining. In its most basic form, it asks for the set of substrings of a given string $S$ of length $n$ that occur at least $\tau$ times in $S$, for some integer $\tau\in[1,n]$. We…

Data Structures and Algorithms · Computer Science 2025-06-06 Pengxin Bian , Panagiotis Charalampopoulos , Lorraine A. K. Ayad , Manal Mohamed , Solon P. Pissis , Grigorios Loukides

We study the $generalized~model~counting~problem$, defined as follows: given a database, and a set of deterministic tuples, count the number of subsets of the database that include all deterministic tuples and satisfy the query. This…

Databases · Computer Science 2021-05-21 Batya Kenig , Dan Suciu
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