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Core spanners are a class of document spanners that capture the core functionality of IBM's AQL. FC is a logic on strings built around word equations that when extended with constraints for regular languages can be seen as a logic for core…

Logic in Computer Science · Computer Science 2025-01-20 Owen M. Bell , Joel D. Day , Dominik D. Freydenberger

Regular expressions with capture variables, also known as "regex formulas," extract relations of spans (interval positions) from text. These relations can be further manipulated via Relational Algebra as studied in the context of document…

Databases · Computer Science 2017-03-31 Dominik D. Freydenberger , Benny Kimelfeld , Liat Peterfreund

The regular spanners (characterised by vset-automata) are closed under the algebraic operations of union, join and projection, and have desirable algorithmic properties. The core spanners (introduced by Fagin, Kimelfeld, Reiss, and…

Databases · Computer Science 2024-11-27 Markus L. Schmid , Nicole Schweikardt

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

This paper is a study of weighted counting of the solutions of acyclic conjunctive queries ($\ACQ$). The unweighted quantifier free version of this problem is known to be tractable (for combined complexity), but it is also known that…

Computational Complexity · Computer Science 2011-12-08 Arnaud Durand , Stefan Mengel

We present an output-sensitive algorithm for evaluating an acyclic Conjunctive Regular Path Query (CRPQ). Its complexity is written in terms of the input size, the output size, and a well-known parameter of the query that is called the…

Databases · Computer Science 2026-03-17 Mahmoud Abo Khamis , Alexandru-Mihai Hurjui , Ahmet Kara , Dan Olteanu , Dan Suciu

We study the enumeration complexity of Unions of Conjunctive Queries(UCQs). We aim to identify the UCQs that are tractable in the sense that the answer tuples can be enumerated with a linear preprocessing phase and a constant delay between…

Databases · Computer Science 2021-05-07 Nofar Carmeli , Markus Kröll

The paper studies the rewriting problem, that is, the decision problem whether, for a given conjunctive query $Q$ and a set $\mathcal{V}$ of views, there is a conjunctive query $Q'$ over $\mathcal{V}$ that is equivalent to $Q$, for cases…

Databases · Computer Science 2024-02-14 Gaetano Geck , Jens Keppeler , Thomas Schwentick , Christopher Spinrath

Bilingual machine-readable dictionaries are knowledge resources useful in many automatic tasks. However, compared to monolingual computational lexicons like WordNet, bilingual dictionaries typically provide a lower amount of structured…

Computation and Language · Computer Science 2014-02-12 Tiziano Flati , Roberto Navigli

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

We introduce 'project-connex' tree-width as a measure of tractability for counting and aggregate conjunctive queries over semirings with 'group-by' projection (also known as 'AJAR' or 'FAQ' queries). This elementary measure allows to obtain…

Databases · Computer Science 2025-07-21 Diego Figueira , Cibele Freire

As data analytics becomes more crucial to digital systems, so grows the importance of characterizing the database queries that admit a more efficient evaluation. We consider the tractability yardstick of answer enumeration with a…

Databases · Computer Science 2019-12-24 Nofar Carmeli , Shai Zeevi , Christoph Berkholz , Benny Kimelfeld , Nicole Schweikardt

In this paper, we consider first-order logic over unary functions and study the complexity of the evaluation problem for conjunctive queries described by such kind of formulas. A natural notion of query acyclicity for this language is…

Logic in Computer Science · Computer Science 2007-05-23 Arnaud Durand , Etienne Grandjean

We address the satisfiability problem for string constraints that combine relational constraints represented by transducers, word equations, and string length constraints. This problem is undecidable in general. Therefore, we propose a new…

Formal Languages and Automata Theory · Computer Science 2023-07-11 Parosh Aziz Abdulla , Mohamed Faouzi Atig Bui Phi Diep , Lukáš Holík , Petr Janků

This paper introduces a refinement of the sequent calculus approach called cirquent calculus. While in Gentzen-style proof trees sibling (or cousin, etc.) sequents are disjoint sequences of formulas, in cirquent calculus they are permitted…

Logic · Mathematics 2011-04-15 Giorgi Japaridze

Sequence theories are an extension of theories of strings with an infinite alphabet of letters, together with a corresponding alphabet theory (e.g. linear integer arithmetic). Sequences are natural abstractions of extendable arrays, which…

Logic in Computer Science · Computer Science 2023-08-02 Artur Jeż , Anthony W. Lin , Oliver Markgraf , Philipp Rümmer

We introduce injective semantics for Conjunctive Regular Path Queries (CRPQs), and study their fundamental properties. We identify two such semantics: atom-injective and query-injective semantics, both defined in terms of injective…

Databases · Computer Science 2023-04-14 Diego Figueira , Miguel Romero

We study the fundamental issue of decidability of satisfiability over string logics with concatenations and finite-state transducers as atomic operations. Although restricting to one type of operations yields decidability, little is known…

Logic in Computer Science · Computer Science 2015-11-06 Anthony W. Lin , Pablo Barcelo

An uncertain database is defined as a relational database in which primary keys need not be satisfied. A repair (or possible world) of such database is obtained by selecting a maximal number of tuples without ever selecting two distinct…

Databases · Computer Science 2013-01-08 Jef Wijsen

Conjunctive Regular Path Queries, or CRPQs for short, are an essential construct in graph query languages. In this paper, we propose the first output-sensitive algorithm for evaluating acyclic CRPQs. It is output-sensitive in the sense that…

Databases · Computer Science 2025-09-30 Mahmoud Abo Khamis , Alexandru-Mihai Hurjui , Ahmet Kara , Dan Olteanu , Dan Suciu , Zilu Tian
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