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We propose a norm of consistency for a mixed set of defeasible and strict sentences, based on a probabilistic semantics. This norm establishes a clear distinction between knowledge bases depicting exceptions and those containing outright…

Artificial Intelligence · Computer Science 2013-04-08 Moises Goldszmidt , Judea Pearl

A general notion of information-related complexity applicable to both natural and man-made systems is proposed. The overall approach is to explicitly consider a rational agent performing a certain task with a quantifiable degree of success.…

Data Analysis, Statistics and Probability · Physics 2013-01-18 Eugene Perevalov , David Grace

Queries with aggregation and arithmetic operations, as well as incomplete data, are common in real-world database, but we lack a good understanding of how they should interact. On the one hand, systems based on SQL provide ad-hoc rules for…

Databases · Computer Science 2022-11-02 Marco Console , Leonid Libkin , Liat Peterfreund

We consider the evaluation of first-order queries over classes of databases that have bounded degree and low degree. More precisely, given a query and a database, we want to efficiently test whether there is a solution, count how many…

Logic in Computer Science · Computer Science 2020-10-08 Alexandre Vigny

This paper concerns the paraconsistent logic LPQ$^{\supset,\mathsf{F}}$ and an application of it in the area of relational database theory. The notions of a relational database, a query applicable to a relational database, and a consistent…

Databases · Computer Science 2024-03-15 C. A. Middelburg

We study the complexity of various fundamental counting problems that arise in the context of incomplete databases, i.e., relational databases that can contain unknown values in the form of labeled nulls. Specifically, we assume that the…

Databases · Computer Science 2021-04-29 Marcelo Arenas , Pablo Barceló , Mikaël Monet

In this paper, we study consistent query answering in tables with nulls and functional dependencies. Given such a table T, we consider the set Tuples of all tuples that can be built up from constants appearing in T, and we use set theoretic…

Databases · Computer Science 2023-02-16 Dominique Laurent , Nicolas Spyratos

Query evaluation over probabilistic databases is known to be intractable in many cases, even in data complexity, i.e., when the query is fixed. Although some restrictions of the queries [19] and instances [4] have been proposed to lower the…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Mikaël Monet , Pierre Senellart

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 problems with stochastic uncertainty information on intervals for which the precise value can be queried by paying a cost. The goal is to devise an adaptive decision tree to find a correct solution to the problem in consideration…

Data Structures and Algorithms · Computer Science 2021-09-27 Steven Chaplick , Magnús M. Halldórsson , Murilo S. de Lima , Tigran Tonoyan

Many data management applications must deal with data which is uncertain, incomplete, or noisy. However, on existing uncertain data representations, we cannot tractably perform the important query evaluation tasks of determining query…

Databases · Computer Science 2016-07-19 Antoine Amarilli

This article presents a general solution to the problem of computational complexity. First, it gives a historical introduction to the problem since the revival of the foundational problems of mathematics at the end of the 19th century.…

Computational Complexity · Computer Science 2023-12-25 Rami Zaidan

Consider the situation where a query is to be answered using Web sources that restrict the accesses that can be made on backend relational data by requiring some attributes to be given as input of the service. The accesses provide lookups…

Databases · Computer Science 2015-03-19 Michael Benedikt , Georg Gottlob , Pierre Senellart

Dichotomy theorems, which characterize the conditions under which a problem can be solved efficiently, have helped identify important tractability borders for as probabilistic query evaluation, view maintenance, query containment (among…

Databases · Computer Science 2024-05-09 Neha Makhija

Past research on probabilistic databases has studied the problem of answering queries on a static database. Application scenarios of probabilistic databases however often involve the conditioning of a database using additional information…

Databases · Computer Science 2008-06-16 Christoph Koch , Dan Olteanu

We consider the dichotomy conjecture for consistent query answering under primary key constraints. It states that, for every fixed Boolean conjunctive query q, testing whether q is certain (i.e. whether it evaluates to true over all repairs…

Databases · Computer Science 2025-02-26 Diego Figueira , Anantha Padmanabha , Luc Segoufin , Cristina Sirangelo

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

The resilience of a Boolean query is the minimum number of tuples that need to be deleted from the input tables in order to make the query false. A solution to this problem immediately translates into a solution for the more widely known…

Databases · Computer Science 2020-06-17 Cibele Freire , Wolfgang Gatterbauer , Neil Immerman , Alexandra Meliou

Science is a social process with far-reaching impact on our modern society. In the recent years, for the first time we are able to scientifically study the science itself. This is enabled by massive amounts of data on scientific…

Digital Libraries · Computer Science 2015-05-21 Lovro Šubelj , Marko Bajec , Biljana Mileva Boshkoska , Andrej Kastrin , Zoran Levnajić

Large language models have shown unprecedented abilities in generating linguistically coherent and syntactically correct natural language output. However, they often return incorrect and inconsistent answers to input questions. Due to the…

Databases · Computer Science 2023-12-27 Jasmin Mousavi , Arash Termehchy