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We address the problem of checking query containment, a foundational problem in database research. Although extensively studied in theory research, optimization opportunities arising from query containment are not fully leveraged in…

Databases · Computer Science 2026-03-17 Luisa Gerlach , Tobias Köppl , René Zander , Nicole Schweikardt , Stefanie Scherzinger

The fitting problem for conjunctive queries (CQs) is the problem to construct a CQ that fits a given set of labeled data examples. When a fitting CQ exists, it is in general not unique. This leads us to proposing natural refinements of the…

Databases · Computer Science 2025-09-25 Balder ten Cate , Victor Dalmau , Maurice Funk , Carsten Lutz

It is well known that the containment problem (as well as the equivalence problem) for semilinear sets is $\log$-complete in $\Pi_2^p$. It had been shown quite recently that already the containment problem for multi-dimensional linear sets…

Computational Complexity · Computer Science 2018-02-21 Hans U. Simon

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

Query Containment Problem (QCP) is a fundamental decision problem in query processing and optimization. While QCP has for a long time been completely understood for the case of set semantics, decidability of QCP for conjunctive queries…

Databases · Computer Science 2025-06-03 Jerzy Marcinkowski , Piotr Ostropolski-Nalewaja

Recently, the makespan-minimization problem of compiling a general class of quantum algorithms into near-term quantum processors has been introduced to the AI community. The research demonstrated that temporal planning is a strong approach…

We prove that the complexity class QIP, which consists of all problems having quantum interactive proof systems, is contained in PSPACE. This containment is proved by applying a parallelized form of the matrix multiplicative weights update…

Quantum Physics · Physics 2009-08-03 Rahul Jain , Zhengfeng Ji , Sarvagya Upadhyay , John Watrous

In this paper, we study the complexity of answering conjunctive queries (CQ) with inequalities). In particular, we are interested in comparing the complexity of the query with and without inequalities. The main contribution of our work is a…

Databases · Computer Science 2014-12-15 Paraschos Koutris , Tova Milo , Sudeepa Roy , Dan Suciu

In this paper, we study the complexity of evaluating Conjunctive Queries with negation (\cqneg). First, we present an algorithm with linear preprocessing time and constant delay enumeration for a class of CQs with negation called…

Databases · Computer Science 2023-10-10 Hangdong Zhao , Austen Z. Fan , Xiating Ouyang , Paraschos Koutris

A database D may be inconsistent wrt a given set IC of integrity constraints. Consistent Query Answering (CQA) is the problem of computing from D the answers to a query that are consistent wrt IC . Consistent answers are invariant under all…

Databases · Computer Science 2016-05-24 Andrei Lopatenko , Leopoldo Bertossi

Conversational question answering (QA) requires the ability to correctly interpret a question in the context of previous conversation turns. We address the conversational QA task by decomposing it into question rewriting and question…

Information Retrieval · Computer Science 2020-10-26 Svitlana Vakulenko , Shayne Longpre , Zhucheng Tu , Raviteja Anantha

We consider the task of enumerating and counting answers to $k$-ary conjunctive queries against relational databases that may be updated by inserting or deleting tuples. We exhibit a new notion of q-hierarchical conjunctive queries and show…

Databases · Computer Science 2017-02-22 Christoph Berkholz , Jens Keppeler , Nicole Schweikardt

This thesis investigates the extent to which the optimal value of a constraint satisfaction problem (CSP) can be approximated by some sentence of fixed point logic with counting (FPC). It is known that, assuming $\mathsf{P} \neq…

Logic in Computer Science · Computer Science 2020-08-10 Jamie Tucker-Foltz

The containment problem of Datalog queries is well known to be undecidable. There are, however, several Datalog fragments for which containment is known to be decidable, most notably monadic Datalog and several "regular" query languages on…

Databases · Computer Science 2014-07-01 Pierre Bourhis , Markus Krötzsch , Sebastian Rudolph

Many natural combinatorial problems can be expressed as constraint satisfaction problems. This class of problems is known to be NP-complete in general, but certain restrictions on the form of the constraints can ensure tractability. The…

Computational Complexity · Computer Science 2020-10-05 Dmitriy Zhuk

The paper studies the rewriting problem, that is, the decision problem whether, for a given conjunctive query $Q$ and a set $\mathcal{V}$ of views, there is a conjunctive query $Q'$ over $\mathcal{V}$ that is equivalent to $Q$, for cases…

Databases · Computer Science 2024-02-14 Gaetano Geck , Jens Keppeler , Thomas Schwentick , Christopher Spinrath

We present efficient algorithms for Quantile Join Queries, abbreviated as %JQ. A %JQ asks for the answer at a specified relative position (e.g., 50% for the median) under some ordering over the answers to a Join Query (JQ). Our goal is to…

Databases · Computer Science 2023-05-29 Nikolaos Tziavelis , Nofar Carmeli , Wolfgang Gatterbauer , Benny Kimelfeld , Mirek Riedewald

In classical complexity theory, the two definitions of probabilistically checkable proofs -- the constraint satisfaction and the nonlocal games version -- are computationally equal in power. In the quantum setting, the situation is far less…

Quantum Physics · Physics 2024-03-21 Anand Natarajan , Chinmay Nirkhe

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

Question rewriting (QR) is a subtask of conversational question answering (CQA) aiming to ease the challenges of understanding dependencies among dialogue history by reformulating questions in a self-contained form. Despite seeming…

Computation and Language · Computer Science 2022-04-14 Etsuko Ishii , Yan Xu , Samuel Cahyawijaya , Bryan Wilie