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We study the data complexity of consistent query answering (CQA) on databases that may violate the primary key constraints. A repair is a maximal consistent subset of the database. For a Boolean query $q$, the problem…

Databases · Computer Science 2023-09-28 Paraschos Koutris , Xiating Ouyang , Jef Wijsen

We study the data complexity of consistent query answering (CQA) on databases that may violate the primary key constraints. A repair is a maximal subset of the database satisfying the primary key constraints. For a Boolean query q, the…

Databases · Computer Science 2023-10-31 Paraschos Koutris , Xiating Ouyang , Jef Wijsen

In this article, the hierarchy of LFIs L$_n^k$, Logics of Controlled Consistency (LCC), is introduced. Inspired by da Costa's original C$_n$ systems, this hierarchy can represent different degrees of paraconsistent commitment and different…

Logic in Computer Science · Computer Science 2026-04-22 Marcelo E. Coniglio , Rafael Ongaratto

Language-integrated query is a powerful programming construct allowing database queries and ordinary program code to interoperate seamlessly and safely. Language-integrated query techniques rely on classical results about the nested…

Programming Languages · Computer Science 2023-06-22 Wilmer Ricciotti , James Cheney

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

In many real-life settings, agents must navigate dynamic environments while reasoning under incomplete information and acting on a corpus of unstable, context-dependent, and often conflicting norms. We introduce a general, non-modal,…

Logic in Computer Science · Computer Science 2025-12-23 Mario Piazza , Andrea Sabatini

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

Chase algorithms are indispensable in the domain of knowledge base querying, which enable the extraction of implicit knowledge from a given database via applications of rules from a given ontology. Such algorithms have proved beneficial in…

Logic in Computer Science · Computer Science 2023-06-06 Tim S. Lyon , Piotr Ostropolski-Nalewaja

Large language models frequently produce mutually inconsistent answers when reasoning over multiple related queries. We study case-file logical consistency: maintaining a globally satisfiable belief state across interdependent queries. We…

Artificial Intelligence · Computer Science 2026-04-17 Rohit Kumar Salla , Ramya Manasa Amancherla , Manoj Saravanan

Signed systems were introduced as a general, syntax-independent framework for paraconsistent reasoning, that is, non-trivialised reasoning from inconsistent information. In this paper, we show how the family of corresponding paraconsistent…

Logic in Computer Science · Computer Science 2007-05-23 Philippe Besnard , Torsten Schaub , Hans Tompits , Stefan Woltran

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

Databases · Computer Science 2014-12-16 Babak Salimi , Leopoldo Bertossi

In this paper, we motivated the need for relational database systems to support subset query processing. We defined new operators in relational algebra, and new constructs in SQL for expressing subset queries. We also illustrated the…

Databases · Computer Science 2007-05-23 Satyanarayana R Valluri , Kamalakar Karlapalem

We present a novel approach to querying classical inconsistent description logic (DL) knowledge bases by adopting a~paraconsistent semantics with the four Belnapian values: exactly true ($\mathbf{T}$), exactly false ($\mathbf{F}$), both…

Logic in Computer Science · Computer Science 2025-07-21 Meghyn Bienvenu , Camille Bourgaux , Daniil Kozhemiachenko

This paper proposes the meeting of fuzzy logic with paraconsistency in a very precise and foundational way. Specifically, in this paper we introduce expansions of the fuzzy logic MTL by means of primitive operators for consistency and…

Logic · Mathematics 2021-03-15 Marcelo Coniglio , Francesc Esteva , Lluís Godo

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

A data integration system provides transparent access to different data sources by suitably combining their data, and providing the user with a unified view of them, called global schema. However, source data are generally not under the…

Databases · Computer Science 2011-10-10 Marco Manna , Francesco Ricca , Giorgio Terracina

Since 2005, significant progress has been made in the problem of Consistent Query Answering (CQA) with respect to primary keys. In this problem, the input is a database instance that may violate one or more primary key constraints. A repair…

Databases · Computer Science 2022-03-28 Miika Hannula , Jef Wijsen

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

Databases · Computer Science 2017-08-01 Leopoldo Bertossi , Babak Salimi

The aim of this article is to generalize logics of formal inconsistency ($\textbf{LFI}$s) to systems dealing with the concept of incompatibility, expressed by means of a binary connective. The basic idea is that having two incompatible…

Logic · Mathematics 2022-02-23 Marcelo Esteban Coniglio , Guilherme Vicentin de Toledo

An uncertain database is defined as a relational database in which primary keys need not be satisfied. A repair (or possible world) of such database is obtained by selecting a maximal number of tuples without ever selecting two distinct…

Databases · Computer Science 2013-01-08 Jef Wijsen