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Multi-hop logical reasoning is an established problem in the field of representation learning on knowledge graphs (KGs). It subsumes both one-hop link prediction as well as other more complex types of logical queries. Existing algorithms…

Artificial Intelligence · Computer Science 2022-09-07 Dimitrios Alivanistos , Max Berrendorf , Michael Cochez , Mikhail Galkin

Disjunctive Logic Programming (DLP) is a very expressive formalism: it allows for expressing every property of finite structures that is decidable in the complexity class SigmaP2 (= NP^NP). Despite this high expressiveness, there are some…

Artificial Intelligence · Computer Science 2008-02-22 Wolfgang Faber , Gerald Pfeifer , Nicola Leone , Tina Dell'Armi , Giuseppe Ielpa

We demonstrate QirK, a system for answering natural language questions on Knowledge Graphs (KG). QirK can answer structurally complex questions that are still beyond the reach of emerging Large Language Models (LLMs). It does so using a…

Relational queries, and in particular join queries, often generate large output results when executed over a huge dataset. In such cases, it is often infeasible to store the whole materialized output if we plan to reuse it further down a…

Databases · Computer Science 2018-03-28 Shaleen Deep , Paraschos Koutris

The paper proposes a new knowledge representation language, called DLP<, which extends disjunctive logic programming (with strong negation) by inheritance. The addition of inheritance enhances the knowledge modeling features of the language…

Logic in Computer Science · Computer Science 2008-02-21 Francesco Buccafurri , Wolfgang Faber , Nicola Leone

We propose a new method for mining frequent patterns in a language that combines both Semantic Web ontologies and rules. In particular we consider the setting of using a language that combines description logics with DL-safe rules. This…

Logic in Computer Science · Computer Science 2015-03-13 Joanna Jozefowska , Agnieszka Lawrynowicz , Tomasz Lukaszewski

We often add arithmetic to extend the expressiveness of query languages and study the complexity of problems such as testing query containment and finding certain answers in the framework of answering queries using views. When adding…

Databases · Computer Science 2020-11-19 Foto N. Afrati , Matthew Damigos

The Description Logic EL has recently drawn considerable attention since, on the one hand, important inference problems such as the subsumption problem are polynomial. On the other hand, EL is used to define large biomedical ontologies.…

Artificial Intelligence · Computer Science 2015-07-01 Franz Baader , Barbara Morawska

Discriminative Dictionary Learning (DL) methods have been widely advocated for image classification problems. To further sharpen their discriminative capabilities, most state-of-the-art DL methods have additional constraints included in the…

Machine Learning · Computer Science 2019-03-08 Wen Tang , Ashkan Panahi , Hamid Krim , Liyi Dai

The deductive closure of an ideal knowledge base (KB) contains exactly the logical queries that the KB can answer. However, in practice KBs are both incomplete and over-specified, failing to answer some queries that have real-world answers.…

Machine Learning · Computer Science 2021-02-01 Haitian Sun , Andrew O. Arnold , Tania Bedrax-Weiss , Fernando Pereira , William W. Cohen

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

We study the problem of counting answers to unions of conjunctive queries (UCQs) under structural restrictions on the input query. Concretely, given a class C of UCQs, the problem #UCQ(C) provides as input a UCQ Q in C and a database D and…

Discrete Mathematics · Computer Science 2026-02-24 Jacob Focke , Leslie Ann Goldberg , Marc Roth , Stanislav Živný

Can language models (LM) ground question-answering (QA) tasks in the knowledge base via inherent relational reasoning ability? While previous models that use only LMs have seen some success on many QA tasks, more recent methods include…

Computation and Language · Computer Science 2023-06-07 Yujie Lu , Siqi Ouyang , Kairui Zhou

We study the problem of computing a conjunctive query q in parallel, using p of servers, on a large database. We consider algorithms with one round of communication, and study the complexity of the communication. We are especially…

Databases · Computer Science 2014-01-10 Paul Beame , Paraschos Koutris , Dan Suciu

Dictionary learning (DL) is commonly used in computational biology to tackle ubiquitous clustering problems due to its conceptual simplicity and relatively low computational complexity. However, DL algorithms produce results that lack…

Genomics · Quantitative Biology 2023-12-19 Vishal Rana , Jianhao Peng , Chao Pan , Hanbaek Lyu , Albert Cheng , Minji Kim , Olgica Milenkovic

Answering complex questions over knowledge bases (KB-QA) faces huge input data with billions of facts, involving millions of entities and thousands of predicates. For efficiency, QA systems first reduce the answer search space by…

Information Retrieval · Computer Science 2022-04-05 Philipp Christmann , Rishiraj Saha Roy , Gerhard Weikum

The article investigates classes of queries maintainable by conjunctive queries (CQs) and their extensions and restrictions in the dynamic complexity framework of Patnaik and Immerman. Starting from the basic language of quantifier-free…

Logic in Computer Science · Computer Science 2017-04-06 Thomas Zeume , Thomas Schwentick

Decision lists (DLs) find a wide range of uses for classification problems in Machine Learning (ML), being implemented in a number of ML frameworks. DLs are often perceived as interpretable. However, building on recent results for decision…

Artificial Intelligence · Computer Science 2021-05-17 Alexey Ignatiev , Joao Marques-Silva

We develop a query answering system, where at the core of the work there is an idea of query answering by rewriting. For this purpose we extend the DL DL-Lite with the ability to support n-ary relations, obtaining the DL DLR-Lite, which is…

Databases · Computer Science 2009-02-11 Mantas Simkus , Evaldas Taroza , Lina Lubyte , Daniel Trivellato , Zivile Norkunaite

While in recent years machine learning (ML) based approaches have been the popular approach in developing end-to-end question answering systems, such systems often struggle when additional knowledge is needed to correctly answer the…

Artificial Intelligence · Computer Science 2019-05-02 Arindam Mitra , Peter Clark , Oyvind Tafjord , Chitta Baral