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This paper studies the unification problem with associative, commutative, and associative-commutative functions mainly from a viewpoint of the parameterized complexity on the number of variables. It is shown that both associative and…

Symbolic Computation · Computer Science 2013-10-04 Tatsuya Akutsu , Takeyuki Tamura , Atsuhiro Takasu

Concurrent hash tables are one of the most important concurrent data structures with numerous applications. Since hash table accesses can dominate the execution time of the overall application, we need implementations that achieve good…

Data Structures and Algorithms · Computer Science 2016-09-07 Tobias Maier , Peter Sanders , Roman Dementiev

Entanglement of quantum variables is usually thought to be a prerequisite for obtaining quantum speed-ups of information processing tasks such as searching databases. This paper presents methods for quantum search that give a speed-up over…

Quantum Physics · Physics 2009-10-31 Seth Lloyd

This note serves three purposes: (i) we provide a self-contained exposition of the fact that conjunctive queries are not efficiently learnable in the Probably-Approximately-Correct (PAC) model, paying clear attention to the complicating…

Databases · Computer Science 2023-07-28 Balder ten Cate , Maurice Funk , Jean Christoph Jung , Carsten Lutz

Intersection joins over interval data are relevant in spatial and temporal data settings. A set of intervals join if their intersection is non-empty. In case of point intervals, the intersection join becomes the standard equality join. We…

Databases · Computer Science 2022-04-15 Mahmoud Abo Khamis , George Chichirim , Antonia Kormpa , Dan Olteanu

Uniform sampling and approximate counting are fundamental primitives for modern database applications, ranging from query optimization to approximate query processing. While recent breakthroughs have established optimal sampling and…

Databases · Computer Science 2026-05-13 Xiao Hu , Jinchao Huang

The complexity of a quantum gate, defined as the minimal number of elementary gates to build it, is an important concept in quantum information and computation. It is shown recently that the complexity of quantum gates built from random…

Quantum Physics · Physics 2022-05-12 Zhi Li

The number of qubits used by a quantum algorithm will be a crucial computational resource for the foreseeable future. We show how to obtain the classical query complexity for continuous problems. We then establish a simple formula for a…

Quantum Physics · Physics 2007-05-23 A. Papageorgiou , J. F. Traub

We study the complexity of determining the edge connectivity of a simple graph with cut queries. We show that (i) there is a bounded-error randomized algorithm that computes edge connectivity with $O(n)$ cut queries, and (ii) there is a…

Data Structures and Algorithms · Computer Science 2022-01-19 Simon Apers , Yuval Efron , Paweł Gawrychowski , Troy Lee , Sagnik Mukhopadhyay , Danupon Nanongkai

During the past decade, there has been an extensive investigation of the computational complexity of the consistent answers of Boolean conjunctive queries under primary key constraints. Much of this investigation has focused on…

Databases · Computer Science 2015-03-03 Foto N. Afrati , Phokion G. Kolaitis , Angelos Vasilakopoulos

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 show how automatic tools for the verification of linear and branching time properties of procedural, multi-threaded, and functional programs as well as program synthesis can be naturally and uniformly seen as solvers of constraints in…

Logic in Computer Science · Computer Science 2014-06-02 Andrey Rybalchenko

Operational consistent query answering (CQA) is a recent framework for CQA based on revised definitions of repairs, which are built by applying a sequence of operations (e.g., fact deletions) starting from an inconsistent database until we…

Databases · Computer Science 2025-08-25 Marco Calautti , Ester Livshits , Andreas Pieris , Markus Schneider

While the relationship of time and space is an established topic in traditional centralised complexity theory, this is not the case in distributed computing. We aim to remedy this by studying the time and space complexity of algorithms in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-11 Tuomo Lempiäinen , Jukka Suomela

We study the complexity of enumerating the answers of Conjunctive Queries (CQs) in the presence of Functional Dependencies (FDs). Our focus is on the ability to list output tuples with a constant delay in between, following a linear-time…

Databases · Computer Science 2021-09-28 Nofar Carmeli , Markus Kröll

Counting the number of answers to conjunctive queries is a fundamental problem in databases that, under standard assumptions, does not have an efficient solution. The issue is inherently #P-hard, extending even to classes of acyclic…

Databases · Computer Science 2024-09-12 Hubie Chen , Gianluigi Greco , Stefan Mengel , Francesco Scarcello

In this paper, we study the complexity of evaluating Conjunctive Queries with negation (\cqneg). First, we present an algorithm with linear preprocessing time and constant delay enumeration for a class of CQs with negation called…

Databases · Computer Science 2023-10-10 Hangdong Zhao , Austen Z. Fan , Xiating Ouyang , Paraschos Koutris

Cardinality constraints or, more generally, weight constraints are well recognized as an important extension of answer-set programming. Clearly, all common algorithmic tasks related to programs with cardinality or weight constraints - like…

Logic in Computer Science · Computer Science 2020-02-19 Reinhard Pichler , Stefan Rümmele , Stefan Szeider , Stefan Woltran

A linear parameter must be consumed exactly once in the body of its function. When declaring resources such as file handles and manually managed memory as linear arguments, a linear type system can verify that these resources are used…

Programming Languages · Computer Science 2022-07-25 Arnaud Spiwack , Csongor Kiss , Jean-Philippe Bernardy , Nicolas Wu , Richard Eisenberg

We study classical query algorithms with post-selection, and find that they are closely connected to rational functions with nonnegative coefficients. We show that the post-selected classical query complexity of a Boolean function is equal…

Computational Complexity · Computer Science 2018-05-15 Chris Cade