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We give the first ExpTime (complexity-optimal) tableau decision procedure for checking satisfiability of a knowledge base in the description logic SHOQ, which extends the basic description logic ALC with transitive roles, hierarchies of…

Logic in Computer Science · Computer Science 2014-07-22 Linh Anh Nguyen , Joanna Golińska-Pilarek

This thesis offers two logic-based approaches to conjunctive queries in the context of information extraction. The first and main approach is the introduction of conjunctive query fragments of the logics FC and FC[REG], denoted as FC-CQ and…

Logic in Computer Science · Computer Science 2022-08-03 Sam M. Thompson

In this paper syntactic objects---concept constructors called part restrictions which realize rational grading are considered in Description Logics (DLs). Being able to convey statements about a rational part of a set of successors, part…

Logic in Computer Science · Computer Science 2019-05-27 Mitko Yanchev

We study query containment in three closely related formalisms: monadic disjunctive Datalog (MDDLog), MMSNP (a logical generalization of constraint satisfaction problems), and ontology-mediated queries (OMQs) based on expressive description…

Logic in Computer Science · Computer Science 2020-10-23 Pierre Bourhis , Carsten Lutz

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

Difference Logic (DL) is a fragment of linear arithmetics where atoms are constraints x+k <= y for variables x,y (ranging over Q or Z) and integer k. We study the complexity of deciding the truth of existential DL sentences. This problem…

Data Structures and Algorithms · Computer Science 2024-02-06 Konrad K. Dabrowski , Peter Jonsson , Sebastian Ordyniak , George Osipov

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 privacy-preserving query answering in Description Logics (DLs). Specifically, we consider the approach of controlled query evaluation (CQE) based on the notion of instance indistinguishability. We derive data complexity results for…

Artificial Intelligence · Computer Science 2020-04-27 Gianluca Cima , Domenico Lembo , Riccardo Rosati , Domenico Fabio Savo

We study the enumeration of answers to ontology-mediated queries when the ontology is formulated in a description logic that supports functional roles and the query is a CQ. In particular, we show that enumeration is possible with linear…

Logic in Computer Science · Computer Science 2022-11-29 Carsten Lutz , Marcin Przybylko

In this paper we use results from Computable Set Theory as a means to represent and reason about description logics and rule languages for the semantic web. Specifically, we introduce the description logic $\mathcal{DL}\langle…

Logic in Computer Science · Computer Science 2015-05-11 Domenico Cantone , Cristiano Longo , Marianna Nicolosi-Asmundo , Daniele Francesco Santamaria

We study the question of when we can provide direct access to the k-th answer to a Conjunctive Query (CQ) according to a specified order over the answers in time logarithmic in the size of the database, following a preprocessing step that…

Databases · Computer Science 2022-11-30 Nofar Carmeli , Nikolaos Tziavelis , Wolfgang Gatterbauer , Benny Kimelfeld , Mirek Riedewald

We propose a novel, type-elimination-based method for reasoning in the description logic SHIQbs including DL-safe rules. To this end, we first establish a knowledge compilation method converting the terminological part of an ALCIb knowledge…

Logic in Computer Science · Computer Science 2015-07-01 Sebastian Rudolph , Markus Krötzsch , Pascal Hitzler

We present a KE-tableau-based implementation of a reasoner for a decidable fragment of (stratified) set theory expressing the description logic $\mathcal{DL}\langle \mathsf{4LQS^{R,\!\times}}\rangle(\mathbf{D})$…

Logic in Computer Science · Computer Science 2024-02-22 Domenico Cantone , Marianna Nicolosi-Asmundo , Daniele Francesco Santamaria

Description logics (DLs) are well-known knowledge representation formalisms focused on the representation of terminological knowledge. Due to their first-order semantics, these languages (in their classical form) are not suitable for…

Logic in Computer Science · Computer Science 2020-09-29 Leonard Botha , Thomas Meyer , Rafael Peñaloza

Standard Description Logics (DLs) can encode quantitative aspects of an application domain through either number restrictions, which constrain the number of individuals that are in a certain relationship with an individual, or concrete…

Logic in Computer Science · Computer Science 2025-05-28 Franz Baader , Stefan Borgwardt , Filippo De Bortoli , Patrick Koopmann

Testing containment of queries is a fundamental reasoning task in knowledge representation. We study here the containment problem for Conjunctive Regular Path Queries (CRPQs), a navigational query language extensively used in ontology and…

Artificial Intelligence · Computer Science 2020-03-11 Diego Figueira , Adwait Godbole , S. Krishna , Wim Martens , Matthias Niewerth , Tina Trautner

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

Information retrieval (IR) systems play a critical role in navigating information overload across various applications. Existing IR benchmarks primarily focus on simple queries that are semantically analogous to single- and multi-hop…

Information Retrieval · Computer Science 2025-11-25 Ganlin Xu , Zhitao Yin , Linghao Zhang , Jiaqing Liang , Weijia Lu , Xiaodong Zhang , Zhifei Yang , Sihang Jiang , Deqing Yang

We study FO-rewritability of conjunctive queries in the presence of ontologies formulated in a description logic between EL and Horn-SHIF, along with related query containment problems. Apart from providing characterizations, we establish…

Artificial Intelligence · Computer Science 2020-11-20 Meghyn Bienvenu , Peter Hansen , Carsten Lutz , Frank Wolter

In this paper, we study how open-source large language models (LLMs) can be effectively deployed for improving query rewriting in conversational search, especially for ambiguous queries. We introduce CHIQ, a two-step method that leverages…

Information Retrieval · Computer Science 2024-09-27 Fengran Mo , Abbas Ghaddar , Kelong Mao , Mehdi Rezagholizadeh , Boxing Chen , Qun Liu , Jian-Yun Nie