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This paper investigates the impact of query topology on the difficulty of answering conjunctive queries in the presence of OWL 2 QL ontologies. Our first contribution is to clarify the worst-case size of positive existential (PE),…

Artificial Intelligence · Computer Science 2015-05-14 Meghyn Bienvenu , Stanislav Kikot , Vladimir Podolskii

The Essence language allows a user to specify a constraint problem at a level of abstraction above that at which constraint modelling decisions are made. Essence specifications are refined into constraint models using the Conjure automated…

Artificial Intelligence · Computer Science 2021-11-02 Özgür Akgün , Alan M. Frisch , Ian P. Gent , Christopher Jefferson , Ian Miguel , Peter Nightingale , András Z. Salamon

We consider the problem of learning the structure of undirected graphical models with bounded treewidth, within the maximum likelihood framework. This is an NP-hard problem and most approaches consider local search techniques. In this…

Machine Learning · Computer Science 2012-12-12 K. S. Sesh Kumar , Francis Bach

The containment problem of Datalog queries is well known to be undecidable. There are, however, several Datalog fragments for which containment is known to be decidable, most notably monadic Datalog and several "regular" query languages on…

Databases · Computer Science 2014-07-01 Pierre Bourhis , Markus Krötzsch , Sebastian Rudolph

Tree projections provide a unifying framework to deal with most structural decomposition methods of constraint satisfaction problems (CSPs). Within this framework, a CSP instance is decomposed into a number of sub-problems, called views,…

Artificial Intelligence · Computer Science 2017-11-15 Georg Gottlob , Gianlugi Greco , Francesco Scarcello

Metaquerying is a datamining technology by which hidden dependencies among several database relations can be discovered. This tool has already been successfully applied to several real-world applications. Recent papers provide only…

Databases · Computer Science 2007-05-23 F. Angiulli , R. Ben-Eliyahu-Zohary , G. Ianni , L. Palopoli

Statistical query (SQ) algorithms are algorithms that have access to an {\em SQ oracle} for the input distribution $D$ instead of i.i.d.~ samples from $D$. Given a query function $\phi:X \rightarrow [-1,1]$, the oracle returns an estimate…

Machine Learning · Computer Science 2017-04-18 Vitaly Feldman

There exist two approaches for exact probabilistic inference of UCQs on tuple-independent databases. In the extensional approach, query evaluation is performed within a DBMS by exploiting the structure of the query. In the intensional…

Databases · Computer Science 2019-12-25 Mikaël Monet , Dan Olteanu

I offer a case that quantum query complexity still has loads of enticing and fundamental open problems -- from relativized QMA versus QCMA and BQP versus IP, to time/space tradeoffs for collision and element distinctness, to polynomial…

Quantum Physics · Physics 2021-09-16 Scott Aaronson

We describe a family of recursive methods for the synthesis of qubit permutations on quantum computers with limited qubit connectivity. Two objectives are of importance: circuit size and depth. In each case we combine a scalable heuristic…

Quantum Physics · Physics 2023-08-25 Cynthia Chen , Bruno Schmitt , Helena Zhang , Lev S. Bishop , Ali Javadi-Abhari

We introduce the framework of the left-hand side restricted promise constraint satisfaction problem, which includes problems like approximating clique number of a graph. We study the parameterized complexity of problems in this class and…

Computational Complexity · Computer Science 2024-02-20 Kristina Asimi , Libor Barto , Victor Dalmau

We introduce a general random model of a combinatorial optimization problem with geometric structure that encapsulates both linear programming and integer linear programming. Let $Q$ be a bounded set called the feasible set, $E$ be an…

Probability · Mathematics 2024-07-25 Dylan J. Altschuler

We study a class of functional problems reducible to computing $f^{(n)}(x)$ for inputs $n$ and $x$, where $f$ is a polynomial-time bijection. As we prove, the definition is robust against variations in the type of reduction used in its…

Computational Complexity · Computer Science 2024-02-14 David Eppstein

We consider an inverse problem for a finite graph $(X,E)$ where we are given a subset of vertices $B\subset X$ and the distances $d_{(X,E)}(b_1,b_2)$ of all vertices $b_1,b_2\in B$. The distance of points $x_1,x_2\in X$ is defined as the…

Combinatorics · Mathematics 2024-02-13 Joonas Ilmavirta , Matti Lassas , Jinpeng Lu , Lauri Oksanen , Lauri Ylinen

To answer database queries over incomplete data the gold standard is finding certain answers: those that are true regardless of how incomplete data is interpreted. Such answers can be found efficiently for conjunctive queries and their…

Databases · Computer Science 2023-10-20 Amélie Gheerbrant , Leonid Libkin , Alexandra Rogova , Cristina Sirangelo

Quantum computing has demonstrated the potential to solve computationally intensive problems more efficiently than classical methods. Many software engineering tasks, such as test case selection, static analysis, code clone detection, and…

Software Engineering · Computer Science 2025-06-10 Jianjun Zhao

In some physical implementations of quantum computers, 2-qubit operations can be applied only on certain pairs of qubits. Compilation of a quantum circuit into one compliant to such qubit connectivity constraint results in an increase of…

Quantum Physics · Physics 2025-06-04 Pei Yuan , Shengyu Zhang

This paper deals with computation trees over an arbitrary structure consisting of a set along with collections of functions and predicates that are defined on it. It is devoted to the comparative analysis of three parameters of problems…

Computational Complexity · Computer Science 2022-01-04 Mikhail Moshkov

We study FO-rewritability of conjunctive queries in the presence of ontologies formulated in a description logic between EL and Horn-SHIF, along with related query containment problems. Apart from providing characterizations, we establish…

Artificial Intelligence · Computer Science 2020-11-20 Meghyn Bienvenu , Peter Hansen , Carsten Lutz , Frank Wolter

We revisit parallel-innermost term rewriting as a model of parallel computation on inductive data structures and provide a corresponding notion of runtime complexity parametric in the size of the start term. We propose automatic techniques…

Logic in Computer Science · Computer Science 2026-04-08 Thaïs Baudon , Carsten Fuhs , Laure Gonnord