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In this tutorial, we will survey known results on the complexity of conjunctive query evaluation in different settings, ranging from Boolean queries over counting to more complex models like enumeration and direct access. A particular focus…

Databases · Computer Science 2025-06-24 Stefan Mengel

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

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

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

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 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

We consider the task of lexicographic direct access to query answers. That is, we want to simulate an array containing the answers of a join query sorted in a lexicographic order chosen by the user. A recent dichotomy showed for which…

Databases · Computer Science 2024-12-13 Karl Bringmann , Nofar Carmeli , Stefan Mengel

We study the problem of consistent query answering under primary key violations. In this setting, the relations in a database violate the key constraints and we are interested in maximal subsets of the database that satisfy the constraints,…

Databases · Computer Science 2014-01-17 Paraschos Koutris , Dan Suciu

Several research thrusts in the area of data management have focused on understanding how changes in the data affect the output of a view or standing query. Example applications are explaining query results, propagating updates through…

Databases · Computer Science 2015-07-03 Cibele Freire , Wolfgang Gatterbauer , Neil Immerman , Alexandra Meliou

We study the problem of enumerating answers of Conjunctive Queries ranked according to a given ranking function. Our main contribution is a novel algorithm with small preprocessing time, logarithmic delay, and non-trivial space usage during…

Databases · Computer Science 2025-05-21 Shaleen Deep , Paraschos Koutris

We study the fine-grained complexity of conjunctive queries with grouping and aggregation. For common aggregate functions (e.g., min, max, count, sum), such a query can be phrased as an ordinary conjunctive query over a database annotated…

Databases · Computer Science 2026-04-22 Idan Eldar , Nofar Carmeli , Benny Kimelfeld

We study ranked enumeration of join-query results according to very general orders defined by selective dioids. Our main contribution is a framework for ranked enumeration over a class of dynamic programming problems that generalizes…

Databases · Computer Science 2020-09-15 Nikolaos Tziavelis , Deepak Ajwani , Wolfgang Gatterbauer , Mirek Riedewald , Xiaofeng Yang

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 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 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

We study the enumeration of answers to Unions of Conjunctive Queries (UCQs) with optimal time guarantees. More precisely, we wish to identify the queries that can be solved with linear preprocessing time and constant delay. Despite the…

Databases · Computer Science 2025-04-02 Karl Bringmann , Nofar Carmeli

We show that for every conjunctive query, the complexity of evaluating it on a probabilistic database is either \PTIME or #\P-complete, and we give an algorithm for deciding whether a given conjunctive query is \PTIME or #\P-complete. The…

Databases · Computer Science 2007-05-23 Nilesh Dalvi , 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 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 2024-05-27 Anantha Padmanabha , Luc Segoufin , Cristina Sirangelo

We study the complexity and expressive power of conjunctive queries over unranked labeled trees represented using a variety of structure relations such as ``child'', ``descendant'', and ``following'' as well as unary relations for node…

Databases · Computer Science 2007-05-23 Georg Gottlob , Christoph Koch , Klaus U. Schulz
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