Horn-Rewritability vs PTime Query Evaluation in Ontology-Mediated Querying

Authors: Andre Hernich, Carsten Lutz, Fabio Papacchini, Frank Wolter

IJCAI 2018 | Conference PDF | Archive PDF | Plain Text | LLM Run Details

Reproducibility Variable Result LLM Response
Research Type Theoretical In this paper, we ask the converse question: Assume that a TBox T is formulated in an expressive DL L and admits PTIME query evaluation. Does it follow that T can be replaced by a TBox T formulated in the corresponding Horn-DL without affecting the answers to queries? Let us make this more precise. We concentrate on queries that are conjunctive queries (CQ) since these are widely used in ontology-mediated querying and require T and T to be CQ-inseparable, that is, to give exactly the same answers to any CQ on any ABox, see [Lutz and Wolter, 2010; Botoeva et al., 2016a; 2016b]. We say that an L TBox T is CQ-Horn-rewritable if there is a TBox T formulated in Horn-L that is CQ-inseparable from T . The main property of an expressive DL L that we are interested in is then whether CQ-Horn-rewritability captures PTIME query evaluation, that is, whether every L TBox that enjoys PTIME CQ-evaluation is CQ-Horn-rewritable.
Researcher Affiliation Academia 1 University of Liverpool, UK 2 University of Bremen, Germany {hernich,papacchf,wolter}@liverpool.ac.uk, clu@uni-bremen.de
Pseudocode No The paper does not contain structured pseudocode or algorithm blocks.
Open Source Code No The paper does not provide concrete access to source code for the methodology described.
Open Datasets No The paper is theoretical and does not involve training models on datasets for experimental evaluation.
Dataset Splits No The paper is theoretical and does not involve dataset splits for validation.
Hardware Specification No The paper does not provide specific hardware details used for running experiments, as it is a theoretical paper.
Software Dependencies No The paper does not provide specific ancillary software details with version numbers, as it is a theoretical paper.
Experiment Setup No The paper is theoretical and does not describe an experimental setup with hyperparameters or training configurations.