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Our concern is the problem of efficiently determining the data complexity of answering queries mediated by description logic ontologies and constructing their optimal rewritings to standard database queries. Originated in ontology-based…

Artificial Intelligence · Computer Science 2022-05-06 Olga Gerasimova , Stanislav Kikot , Agi Kurucz , Vladimir Podolskii , Michael Zakharyaschev

We present a framework for computing with input data specified by intervals, representing uncertainty in the values of the input parameters. To compute a solution, the algorithm can query the input parameters that yield more refined…

Data Structures and Algorithms · Computer Science 2015-03-19 Manoj Gupta , Yogish Sabharwal , Sandeep Sen

We study the density estimation problem defined as follows: given $k$ distributions $p_1, \ldots, p_k$ over a discrete domain $[n]$, as well as a collection of samples chosen from a ``query'' distribution $q$ over $[n]$, output $p_i$ that…

Data Structures and Algorithms · Computer Science 2024-10-31 Anders Aamand , Alexandr Andoni , Justin Y. Chen , Piotr Indyk , Shyam Narayanan , Sandeep Silwal , Haike Xu

The submodular width is a complexity measure of conjunctive queries (CQs), which assigns a nonnegative real number, subw(Q), to each CQ Q. An existing algorithm, called PAND, performs CQ evaluation in polynomial time where the exponent is…

Databases · Computer Science 2026-04-08 Mahmoud Abo Khamis , Hubie Chen

We consider the problem of finding equivalent minimal-size reformulations of SQL queries in presence of embedded dependencies [1]. Our focus is on select-project-join (SPJ) queries with equality comparisons, also known as safe conjunctive…

Databases · Computer Science 2009-06-27 Rada Chirkova , Michael Genesereth

Query evaluation in tuple-independent probabilistic databases is the problem of computing the probability of an answer to a query given independent probabilities of the individual tuples in a database instance. There are two main approaches…

Databases · Computer Science 2013-12-17 Paul Beame , Jerry Li , Sudeepa Roy , Dan Suciu

In the Range Minimum Query (RMQ) problem, we are given an array $A$ of $n$ numbers and we are asked to answer queries of the following type: for indices $i$ and $j$ between $0$ and $n-1$, query $\text{RMQ}_A(i,j)$ returns the index of a…

Data Structures and Algorithms · Computer Science 2017-05-15 Mai Alzamel , Panagiotis Charalampopoulos , Costas S. Iliopoulos , Solon P. Pissis

Range Minimum Query (RMQ) is an important building brick of many compressed data structures and string matching algorithms. Although this problem is essentially solved in theory, with sophisticated data structures allowing for constant time…

Data Structures and Algorithms · Computer Science 2017-07-12 Szymon Grabowski , Tomasz Kowalski

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

We introduce succinct lossless representations of query results called covers. They are subsets of the query results that correspond to minimal edge covers in the hypergraphs of these results. We first study covers whose structures are…

Databases · Computer Science 2018-01-12 Ahmet Kara , Dan Olteanu

Causality has been recently introduced in databases, to model, characterize and possibly compute causes for query results (answers). Connections between queryanswer causality, consistency-based diagnosis, database repairs (wrt. integrity…

Databases · Computer Science 2016-02-23 Babak Salimi , Leopoldo Bertossi

A typical workflow for solving a linear programming problem is to first write a linear program parametrized by the data in a language such as Math GNU Prog or AMPL then call the solver on this program while providing the data. When the data…

Databases · Computer Science 2019-07-22 Florent Capelli , Nicolas Crosetti , Joachim Niehren , Jan Ramon

In recent years it has become popular to study dynamic problems in a sensitivity setting: Instead of allowing for an arbitrary sequence of updates, the sensitivity model only allows to apply batch updates of small size to the original input…

Data Structures and Algorithms · Computer Science 2017-03-07 Monika Henzinger , Andrea Lincoln , Stefan Neumann , Virginia Vassilevska Williams

We consider here the problem of obtaining reliable, consistent information from inconsistent databases -- databases that do not have to satisfy given integrity constraints. We use the notion of consistent query answer -- a query answer…

Databases · Computer Science 2007-05-23 Jan Chomicki , Jerzy Marcinkowski

Conjunctive queries are the most basic and central class of database queries. With the continued growth of demands to manage and process the massive volume of different types of data, there is little research to study the conjunctive…

Databases · Computer Science 2022-06-10 Yuxing Chen , Jiaheng Lu

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

A method is presented for computing minimal answers in disjunctive deductive databases under the disjunctive stable model semantics. Such answers are constructed by repeatedly extending partial answers. Our method is complete (in that every…

Logic in Computer Science · Computer Science 2007-05-23 C. A. Johnson

Query answering is an important problem in AI, database and knowledge representation. In this paper, we develop saturation-based Boolean conjunctive query answering and rewriting procedures for the guarded, the loosely guarded and the…

Databases · Computer Science 2023-10-17 Sen Zheng , Renate A. Schmidt

The easy-hard-easy pattern in the difficulty of combinatorial search problems as constraints are added has been explained as due to a competition between the decrease in number of solutions and increased pruning. We test the generality of…

Artificial Intelligence · Computer Science 2008-02-03 D. L. Mammen , T. Hogg

Probabilistic inference over large data sets is a challenging data management problem since exact inference is generally #P-hard and is most often solved approximately with sampling-based methods today. This paper proposes an alternative…

Databases · Computer Science 2016-06-15 Wolfgang Gatterbauer , Dan Suciu