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A paradefinite logic is a logic that can serve as the underlying logic for theories that are inconsistent or incomplete. A well-known paradefinite logic is Belnap-Dunn logic. Various expansions of Belnap-Dunn logic have been studied in the…

Logic · Mathematics 2026-02-12 C. A. Middelburg

Classical algorithms for query optimization presuppose the absence of inconsistencies or uncertainties in the database and exploit only valid semantic knowledge provided, e.g., by integrity constraints. Data inconsistency or uncertainty,…

Databases · Computer Science 2014-05-05 Federica Panella

A class of relational databases has low degree if for all $\delta>0$, all but finitely many databases in the class have degree at most $n^{\delta}$, where $n$ is the size of the database. Typical examples are databases of bounded degree or…

Databases · Computer Science 2023-06-22 Arnaud Durand , Nicole Schweikardt , Luc Segoufin

In this paper we consider two points of views to the problem of coherent integration of distributed data. First we give a pure model-theoretic analysis of the possible ways to `repair' a database. We do so by characterizing the…

Logic in Computer Science · Computer Science 2007-05-23 Ofer Arieli , Marc Denecker , Bert Van Nuffelen , Maurice Bruynooghe

We introduce a general abstract framework for database repairs, where the repair notions are defined using formal logic. We distinguish between integrity constraints and so-called query constraints. The former are used to model consistency…

Databases · Computer Science 2025-03-31 Nicolas Fröhlich , Arne Meier , Nina Pardal , Jonni Virtema

In this paper, we introduce a novel approach to deductive databases meant to take into account the needs of current applications in the area of data integration. To this end, we extend the formalism of standard deductive databases to the…

Databases · Computer Science 2021-08-06 Dominique Laurent , Nicolas Spyratos

We investigate the notion of sufficient explanation, and a sufficiency-degree as attribution score for database tuples in relation to query answering. We also investigate and exploit connections with database repairs as used for dealing…

Databases · Computer Science 2026-05-18 Leopoldo Bertossi , Nina Pardal

In this paper, building on work done on measuring inconsistency in knowledge bases, we introduce inconsistency measures for databases. In particular, focusing on databases with denial constraints, we first consider the natural approach of…

Databases · Computer Science 2019-04-09 Francesco Parisi , John Grant

We address the problem of semantic querying of relational databases (RDB) modulo knowledge bases using very expressive knowledge representation formalisms, such as full first-order logic or its various fragments. We propose to use a…

Logic in Computer Science · Computer Science 2009-05-03 Alexandre Riazanov

To combine and query ordered data from multiple sources, one needs to handle uncertainty about the possible orderings. Examples of such "order-incomplete" data include integrated event sequences such as log entries, lists of properties…

Databases · Computer Science 2018-01-30 Antoine Amarilli , Mouhamadou Lamine Ba , Daniel Deutch , Pierre Senellart

Certain answers are a principled method for coping with uncertainty that arises in many practical data management tasks. Unfortunately, this method is expensive and may exclude useful (if uncertain) answers. Thus, users frequently resort to…

Databases · Computer Science 2019-04-02 Su Feng , Aaron Huber , Boris Glavic , Oliver Kennedy

A consistent query answer in an inconsistent database is an answer obtained in every (minimal) repair. The repairs are obtained by resolving all conflicts in all possible ways. Often, however, the user is able to provide a preference on how…

Databases · Computer Science 2011-10-10 Slawomir Staworko , Jan Chomicki , Jerzy Marcinkowski

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

In this work we establish and point out connections between the notion of query-answer causality in databases and database repairs, model-based diagnosis in its consistency-based and abductive versions, and database updates through views.…

Databases · Computer Science 2014-07-01 Leopoldo Bertossi , Babak Salimi

Following the development of fuzzy logic theory by Lotfi Zadeh, its applications were investigated by researchers in different fields. Presenting and working with uncertain data is a complex problem. To solve for such a complex problem, the…

Databases · Computer Science 2011-09-07 Arezoo Rajaei , Ahmad Baraani Dastjerdi , Nasser Ghasem Aghaee

In this work we establish and investigate connections between causes for query answers in databases, database repairs wrt. denial constraints, and consistency-based diagnosis. The first two are relatively new research areas in databases,…

Databases · Computer Science 2016-10-25 Leopoldo Bertossi , Babak Salimi

We describe some recent approaches to score-based explanations for query answers in databases. The focus is on work done by the author and collaborators. Special emphasis is placed on the use of counterfactual reasoning for score…

Databases · Computer Science 2023-06-19 Leopoldo Bertossi

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

Efficient consistency maintenance of incomplete and dynamic real-life databases is a quality label for further data analysis. In prior work, we tackled the generic problem of database updating in the presence of tuple generating constraints…

Databases · Computer Science 2024-05-16 Jacques Chabin , Mirian Halfeld Ferrari , Nicolas Hiot , Dominique Laurent

The meaning of null in relational databases is a major source of confusion not only among database users but also among database textbook writers. The purpose of this article is to examine what database nulls could mean and to make some…

Databases · Computer Science 2016-06-03 Kenneth Baclawski