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The classes Delay-FPT and Total-FPT recently have been introduced into parameterized complexity in order to capture the notion of efficiently solvable parameterized enumeration problems. In this paper we focus on ordered enumeration and…

Computational Complexity · Computer Science 2013-10-08 Nadia Creignou , Raïda Ktari , Arne Meier , Julian-Steffen Müller , Frédéric Olive , Heribert Vollmer

Dependence logics are a modern family of logics of independence and dependence which mimic notions of database theory. In this paper, we aim to initiate the study of enumeration complexity in the field of dependence logics and thereby get a…

Logic in Computer Science · Computer Science 2018-03-13 Arne Meier , Christian Reinbold

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

This paper aims at providing extremely efficient algorithms for approximate query enumeration on sparse databases, that come with performance and accuracy guarantees. We introduce a new model for approximate query enumeration on classes of…

Databases · Computer Science 2021-01-19 Isolde Adler , Polly Fahey

One of Courcelle's celebrated results states that if C is a class of graphs of bounded tree-width, then model-checking for monadic second order logic (MSO_2) is fixed-parameter tractable (fpt) on C by linear time parameterized algorithms,…

Logic in Computer Science · Computer Science 2015-07-01 Stephan Kreutzer

We introduce the graph parameter boolean-width, related to the number of different unions of neighborhoods across a cut of a graph. Boolean-width is similar to rank-width, which is related to the number of $GF[2]$-sums (1+1=0) of…

Data Structures and Algorithms · Computer Science 2011-03-10 B. -M. Bui-Xuan , J. A. Telle , M. Vatshelle

Dynamic programming on path and tree decompositions of graphs is a technique that is ubiquitous in the field of parameterized and exponential-time algorithms. However, one of its drawbacks is that the space usage is exponential in the…

Computational Complexity · Computer Science 2016-05-13 Michał Pilipczuk , Marcin Wrochna

Many graph problems were first shown to be fixed-parameter tractable using the results of Robertson and Seymour on graph minors. We show that the combination of finite, computable, obstruction sets and efficient order tests is not just one…

Computational Complexity · Computer Science 2013-05-15 Michael R. Fellows , Bart M. P. Jansen

We prove that the model checking problem for the existential fragment of first-order (FO) logic on partially ordered sets is fixed-parameter tractable (FPT) with respect to the formula and the width of a poset (the maximum size of an…

Logic in Computer Science · Computer Science 2017-01-11 Jakub Gajarský , Petr Hliněný , Jan Obdržálek , Sebastian Ordyniak

We consider the information extraction framework known as document spanners, and study the problem of efficiently computing the results of the extraction from an input document, where the extraction task is described as a sequential…

Databases · Computer Science 2020-12-08 Antoine Amarilli , Pierre Bourhis , Stefan Mengel , Matthias Niewerth

In this paper we address the problem of generating all elements obtained by the saturation of an initial set by some operations. More precisely, we prove that we can generate the closure of a boolean relation (a set of boolean vectors) by…

Computational Complexity · Computer Science 2023-06-22 Arnaud Mary , Yann Strozecki

Multinomial processing tree (MPT) models are tools for disentangling the contributions of latent cognitive processes in a given experimental paradigm. The present note analyzes MPT models subject to order constraints on subsets of its…

Applications · Statistics 2014-11-11 Karl Christoph Klauer , Henrik Singmann , David Kellen

The framework of consistent query answers and repairs has been introduced to alleviate the impact of inconsistent data on the answers to a query. A repair is a minimally different consistent instance and an answer is consistent if it is…

Databases · Computer Science 2009-02-19 Slawomir Staworko , Jan Chomicki

Over the past two decades the main focus of research into first-order (FO) model checking algorithms has been on sparse relational structures - culminating in the FPT algorithm by Grohe, Kreutzer and Siebertz for FO model checking of…

Logic in Computer Science · Computer Science 2018-03-28 Petr Hliněný , Filip Pokrývka , Bodhayan Roy

Motivated by the problem of enumerating all tree decompositions of a graph, we consider in this article the problem of listing all the minimal chordal completions of a graph. In \cite{carmeli2020} (\textsc{Pods 2017}) Carmeli \emph{et al.}…

Data Structures and Algorithms · Computer Science 2021-07-14 Caroline Brosse , Vincent Limouzy , Arnaud Mary

We study the parameterized complexity of evaluating Ontology Mediated Queries (OMQs) based on Guarded TGDs (GTGDs) and Unions of Conjunctive Queries (UCQs), in the case where relational symbols have unrestricted arity and where the…

Logic in Computer Science · Computer Science 2021-06-24 Cristina Feier

Parameterized complexity theory has enabled a refined classification of the difficulty of NP-hard optimization problems on graphs with respect to key structural properties, and so to a better understanding of their true difficulties. More…

Data Structures and Algorithms · Computer Science 2017-10-19 David Coudert , Guillaume Ducoffe , Alexandru Popa

We consider the enumeration problem of first-order queries over structures of bounded degree. It was shown that this problem is in the Constant-Delaylin class. An enumeration problem belongs to Constant-Delaylin if for an input of size n it…

Logic in Computer Science · Computer Science 2015-07-01 Wojciech Kazana , Luc Segoufin

We consider the information extraction framework known as document spanners, and study the problem of efficiently computing the results of the extraction from an input document, where the extraction task is described as a sequential…

Databases · Computer Science 2023-09-06 Antoine Amarilli , Pierre Bourhis , Stefan Mengel , Matthias Niewerth

We consider the task of enumerating and counting answers to $k$-ary conjunctive queries against relational databases that may be updated by inserting or deleting tuples. We exhibit a new notion of q-hierarchical conjunctive queries and show…

Databases · Computer Science 2017-02-22 Christoph Berkholz , Jens Keppeler , Nicole Schweikardt