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We investigate the fine-grained complexity of direct access to Conjunctive Query (CQ) answers according to their position, ordered by the minimum (or maximum) value between attributes. We further use the tools we develop to explore a wealth…

Databases · Computer Science 2025-10-23 Nofar Carmeli , Nikolaos Tziavelis

This paper proposes a new approach for approximate evaluation of #P-hard queries with probabilistic databases. In our approach, every query is evaluated entirely in the database engine by evaluating a fixed number of query plans, each…

Databases · Computer Science 2014-12-03 Wolfgang Gatterbauer , Dan Suciu

Query answering over probabilistic data is an important task but is generally intractable. However, a new approach for this problem has recently been proposed, based on structural decompositions of input databases, following, e.g., tree…

Databases · Computer Science 2019-08-28 Antoine Amarilli , Silviu Maniu , Mikaël Monet

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 prove a complexity dichotomy theorem for the six-vertex model. For every setting of the parameters of the model, we prove that computing the partition function is either solvable in polynomial time or #P-hard. The dichotomy criterion is…

Computational Complexity · Computer Science 2017-03-31 Jin-Yi Cai , Zhiguo Fu , Mingji Xia

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

Conjunctive queries select and are expected to return certain tuples from a relational database. We study the potentially easier problem of counting all selected tuples, rather than enumerating them. In particular, we are interested in the…

Computational Complexity · Computer Science 2019-04-30 Holger Dell , Marc Roth , Philip Wellnitz

A probabilistic database with attribute-level uncertainty consists of relations where cells of some attributes may hold probability distributions rather than deterministic content. Such databases arise, implicitly or explicitly, in the…

Databases · Computer Science 2022-12-26 Amir Gilad , Aviram Imber , Benny Kimelfeld

We study the complexity of the model checking problem, for fixed model A, over certain fragments L of first-order logic. These are sometimes known as the expression complexities of L. We obtain various complexity classification theorems for…

Logic in Computer Science · Computer Science 2007-05-23 Barnaby Martin

Conjunctive queries play an important role as an expressive query language for Description Logics (DLs). Although modern DLs usually provide for transitive roles, conjunctive query answering over DL knowledge bases is only poorly understood…

Artificial Intelligence · Computer Science 2011-11-02 Birte Glimm , Ian Horrocks , Carsten Lutz , Ulrike Sattler

We study the complexity of enumerating the answers of Conjunctive Queries (CQs) in the presence of Functional Dependencies (FDs). Our focus is on the ability to list output tuples with a constant delay in between, following a linear-time…

Databases · Computer Science 2021-09-28 Nofar Carmeli , Markus Kröll

We prove a complexity dichotomy for the resilience problem for unions of conjunctive digraph queries (i.e., for existential positive sentences over the signature $\{R\}$ of directed graphs). Specifically, for every union $\mu$ of…

Logic · Mathematics 2026-01-12 Manuel Bodirsky , Žaneta Semanišinová

This paper studies the complexity of query evaluation for databases whose relations are partially ordered; the problem commonly arises when combining or transforming ordered data from multiple sources. We focus on queries in a useful…

Databases · Computer Science 2019-05-30 Antoine Amarilli , Mouhamadou Lamine Ba , Daniel Deutch , Pierre Senellart

We solve a well known, long-standing open problem in relational databases theory, showing that the conjunctive query determinacy problem (in its "unrestricted" version) is undecidable.

Databases · Computer Science 2015-12-08 Tomasz Gogacz , Jerzy Marcinkowski

An answer to a query has a well-defined lineage expression (alternatively called how-provenance) that explains how the answer was derived. Recent work has also shown how to compute the lineage of a non-answer to a query. However, the cause…

Databases · Computer Science 2011-10-03 Alexandra Meliou , Wolfgang Gatterbauer , Katherine F. Moore , Dan Suciu

Matching Dependencies (MDs) are a relatively recent proposal for declarative entity resolution. They are rules that specify, given the similarities satisfied by values in a database, what values should be considered duplicates, and have to…

Databases · Computer Science 2013-05-28 Leopoldo Bertossi , Jaffer Gardezi

We present trichotomy results characterizing the complexity of reasoning with disjunctive logic programs. To this end, we introduce a certain definition schema for classes of programs based on a set of allowed arities of rules. We show that…

Logic in Computer Science · Computer Science 2014-10-08 Miroslaw Truszczynski

The Quantified Constraint Satisfaction Problem is the problem of evaluating a sentence with both quantifiers, over relations from some constraint language, with conjunction as the only connective. We show that for any constraint language on…

Computational Complexity · Computer Science 2024-10-22 Dmitriy Zhuk

We study the complexity of the valued constraint satisfaction problem (VCSP) for every valued structure with the domain ${\mathbb Q}$ that is preserved by all order-preserving bijections. Such VCSPs will be called temporal, in analogy to…

Logic · Mathematics 2026-01-21 Manuel Bodirsky , Édouard Bonnet , Žaneta Semanišinová

We propose unifying techniques from probabilistic databases and relational embedding models with the goal of performing complex queries on incomplete and uncertain data. We formalize a probabilistic database model with respect to which all…

Artificial Intelligence · Computer Science 2020-06-30 Tal Friedman , Guy Van den Broeck