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We initiate the study of a new model of query complexity of Boolean functions where, in addition to 0 and 1, the oracle can answer queries with ``unknown''. The query algorithm is expected to output the function value if it can be…

Computational Complexity · Computer Science 2024-12-10 Nikhil S. Mande , Karteek Sreenivasaiah

Numerous fundamental database and reasoning problems are known to be NP-hard in general but tractable on instances where the underlying hypergraph structure is $\beta$-acyclic. Despite the importance of many of these problems, there has…

Databases · Computer Science 2021-11-22 Matthias Lanzinger

A similarity join aims to find all similar pairs between two collections of records. Established approaches usually deal with synthetic differences like typos and abbreviations, but neglect the semantic relations between words. Such…

Information Retrieval · Computer Science 2018-10-30 Pengfei Xu , Jiaheng Lu

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

We study the complexity of consistent query answering on databases that may violate primary key constraints. A repair of such a database is any consistent database that can be obtained by deleting a minimal set of tuples. For every Boolean…

Databases · Computer Science 2018-10-09 Paraschos Koutris , Jef Wijsen

We propose an algorithm for answering conjunctive queries with negation, where the negated relations have bounded degree. Its data complexity matches that of the best known algorithms for the positive subquery of the input query and is…

Databases · Computer Science 2019-01-29 Mahmoud Abo Khamis , Hung Q. Ngo , Dan Olteanu , Dan Suciu

We consider the following fundamental problem: given a database D, Boolean conjunctive query (CQ) q, and fact f in D, decide whether f is relevant to q wrt. D, i.e., does f belong to a minimal subset S of D such that S |= q. Despite being…

Databases · Computer Science 2026-04-27 Meghyn Bienvenu , Diego Figueira , Pierre Lafourcade

We will find a lower bound on the recognition complexity of the theories that are nontrivial relative to some equivalence relation (this relation may be equality), namely, each of these theories is consistent with the formula, whose sense…

Logic · Mathematics 2023-10-16 Ivan V. Latkin

Investigative Journalism (IJ, in short) is staple of modern, democratic societies. IJ often necessitates working with large, dynamic sets of heterogeneous, schema-less data sources, which can be structured, semi-structured, or textual,…

The reliability of a Boolean Conjunctive Query (CQ) over a tuple-independent probabilistic database is the probability that the CQ is satisfied when the tuples of the database are sampled one by one, independently, with their associated…

Databases · Computer Science 2023-06-22 Antoine Amarilli , Benny Kimelfeld

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

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

A relational database is said to be uncertain if primary key constraints can possibly be violated. A repair (or possible world) of an uncertain database is obtained by selecting a maximal number of tuples without ever selecting two distinct…

Databases · Computer Science 2015-02-02 Paraschos Koutris , Jef Wijsen

The algebraic intersection type unification problem is an important component in proof search related to several natural decision problems in intersection type systems. It is unknown and remains open whether the algebraic intersection type…

Logic in Computer Science · Computer Science 2023-06-22 Andrej Dudenhefner , Moritz Martens , Jakob Rehof

We consider the problem of evaluating certain types of functional aggregation queries on relational data subject to additive inequalities. Such aggregation queries, with a smallish number of additive inequalities, arise naturally/commonly…

Data Structures and Algorithms · Computer Science 2020-05-04 Mahmoud Abo-Khamis , Sungjin Im , Benjamin Moseley , Kirk Pruhs , Alireza Samadian

The problem of checking whether a recursive query can be rewritten as query without recursion is a fundamental reasoning task, known as the boundedness problem. Here we study the boundedness problem for Unions of Conjunctive Regular Path…

Databases · Computer Science 2024-07-31 Diego Figueira , S. Krishna , Om Swostik Mishra , Anantha Padmanabha

Cointegration is an important topic for time-series, and describes a relationship between two series in which a linear combination is stationary. Classically, the test for cointegration is based on a two stage process in which first the…

Computational Engineering, Finance, and Science · Computer Science 2012-07-03 Chris Bracegirdle , David Barber

The study of high energy collisions between heavy nuclei is a field unto itself, distinct from nuclear and particle physics. A defining aspect of heavy ion physics is the importance of a bulk, self-interacting system with a rich space-time…

Nuclear Theory · Physics 2016-08-24 Mike Lisa

As an essential operation in data cleaning, the similarity join has attracted considerable attention from the database community. In this paper, we study string similarity joins with edit-distance constraints, which find similar string…

Databases · Computer Science 2011-12-01 Guoliang Li , Dong Deng , Jiannan Wang , Jianhua Feng

The quantum query complexity of Boolean matrix multiplication is typically studied as a function of the matrix dimension, n, as well as the number of 1s in the output, \ell. We prove an upper bound of O (n\sqrt{\ell}) for all values of…

Quantum Physics · Physics 2014-12-17 Stacey Jeffery , Robin Kothari , Frédéric Magniez