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Existential positive formulas form a fragment of first-order logic that includes and is semantically equivalent to unions of conjunctive queries, one of the most important and well-studied classes of queries in database theory. We consider…

Databases · Computer Science 2016-04-21 Hubie Chen , Stefan Mengel

Existential rules form an expressive Datalog-based language to specify ontological knowledge. The presence of existential quantification in rule-heads, however, makes the main reasoning tasks undecidable. To overcome this limitation, in the…

Computational Complexity · Computer Science 2023-07-25 Georg Gottlob , Marco Manna , Cinzia Marte

Query rewriting is a crucial technique for passage retrieval in open-domain conversational question answering (CQA). It decontexualizes conversational queries into self-contained questions suitable for off-the-shelf retrievers. Existing…

Computation and Language · Computer Science 2024-06-18 Tianhua Zhang , Kun Li , Hongyin Luo , Xixin Wu , James Glass , Helen Meng

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

Conjunctive query (CQ) evaluation is NP-complete, but becomes tractable for fragments of bounded hypertreewidth. Approximating a hard CQ by a query from such a fragment can thus allow for an efficient approximate evaluation. While…

Databases · Computer Science 2019-04-02 Pablo Barceló , Miguel Romero , Thomas Zeume

We answer the question which conjunctive queries are uniquely characterized by polynomially many positive and negative examples, and how to construct such examples efficiently. As a consequence, we obtain a new efficient exact learning…

Logic in Computer Science · Computer Science 2022-08-25 Balder ten Cate , Victor Dalmau

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

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

The need for an ontological layer on top of data, associated with advanced reasoning mechanisms able to exploit the semantics encoded in ontologies, has been acknowledged both in the database and knowledge representation communities. We…

Artificial Intelligence · Computer Science 2014-12-16 Sebastian Rudolph , Michaël Thomazo , Jean-François Baget , Marie-Laure Mugnier

Finding unambiguous diagrammatic representations for first-order logical formulas and relational queries with arbitrarily nested disjunctions has been a surprisingly long-standing unsolved problem. We refer to this problem as the…

Databases · Computer Science 2024-12-12 Wolfgang Gatterbauer

We consider the Quantifier Elimination (QE) problem for propositional CNF formulas with existential quantifiers. QE plays a key role in formal verification. Earlier, we presented an approach based on the following observation. To perform…

Logic in Computer Science · Computer Science 2018-10-16 Eugene Goldberg

The recently introduced framework of Graded Quantitative Rewriting is an innovative extension of traditional rewriting systems, in which rules are annotated with degrees drawn from a quantale. This framework provides a robust foundation for…

Logic in Computer Science · Computer Science 2025-07-29 Mauricio Ayala-Rincón , Thaynara Arielly de Lima , Georg Ehling , Temur Kutsia

Consistent Query Answering (CQA) is an inconsistency-tolerant approach to data access in knowledge bases and databases. The goal of CQA is to provide meaningful (consistent) answers to queries even in the presence of inconsistent…

Artificial Intelligence · Computer Science 2024-04-25 Lorenzo Marconi , Riccardo Rosati

We present a coinductive framework for defining and reasoning about the infinitary analogues of equational logic and term rewriting in a uniform, coinductive way. The setup captures rewrite sequences of arbitrary ordinal length, but it has…

Logic in Computer Science · Computer Science 2019-03-14 Jörg Endrullis , Helle Hvid Hansen , Dimitri Hendriks , Andrew Polonsky , Alexandra Silva

Query containment and query answering are two important computational tasks in databases. While query answering amounts to compute the result of a query over a database, query containment is the problem of checking whether for every…

Databases · Computer Science 2007-05-23 Diego Calvanese , Giuseppe De Giacomo , Maurizio Lenzerini

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

Datalog+/- is a Datalog-based language family enhanced with existential quantification in rule heads, equalities and negative constraints. Query answering over databases with respect to a Datalog+/- theory is generally undecidable, however…

Databases · Computer Science 2014-05-21 Michael Morak

In the SetDisjointness problem, a collection of $m$ sets $S_1,S_2,...,S_m$ from some universe $U$ is preprocessed in order to answer queries on the emptiness of the intersection of some two query sets from the collection. In the…

Data Structures and Algorithms · Computer Science 2019-10-03 Isaac Goldstein , Moshe Lewenstein , Ely Porat

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

Despite extensive research on a wide range of question answering (QA) systems, most existing work focuses on answer containment-i.e., assuming that answers can be directly extracted and/or generated from documents in the corpus. However,…

Computation and Language · Computer Science 2026-02-03 Jamshid Mozafari , Hamed Zamani , Guido Zuccon , Adam Jatowt