A data complexity and rewritability tetrachotomy of ontology-mediated queries with a covering axiom

Aiming to understand the data complexity of answering conjunctive queries mediated by an axiom stating that a class is covered by the union of two other classes, we show that deciding their first-order rewritability is PSPACE-hard and obtain a number of sufficient conditions for membership in AC0, L...

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Main Authors: Gerasimova, Olga, Kikot, Stanislav, Kurucz, Agi, Podolskii, Vladimir, Zakharyaschev, Michael
Format: Monograph
Language:English
Published: International Joint Conferences on Artificial Intelligence Organization 2020
Subjects:
Online Access:https://repository.londonmet.ac.uk/6021/1/2006.04167.pdf
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author Gerasimova, Olga
Kikot, Stanislav
Kurucz, Agi
Podolskii, Vladimir
Zakharyaschev, Michael
author_facet Gerasimova, Olga
Kikot, Stanislav
Kurucz, Agi
Podolskii, Vladimir
Zakharyaschev, Michael
author_sort Gerasimova, Olga
collection LMU
description Aiming to understand the data complexity of answering conjunctive queries mediated by an axiom stating that a class is covered by the union of two other classes, we show that deciding their first-order rewritability is PSPACE-hard and obtain a number of sufficient conditions for membership in AC0, L, NL, and P. Our main result is a complete syntactic AC0/NL/P/CONP tetrachotomy of path queries under the assumption that the covering classes are disjoint.
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spelling oai:repository.londonmet.ac.uk:60212020-11-30T09:21:21Z https://repository.londonmet.ac.uk/6021/ A data complexity and rewritability tetrachotomy of ontology-mediated queries with a covering axiom Gerasimova, Olga Kikot, Stanislav Kurucz, Agi Podolskii, Vladimir Zakharyaschev, Michael 000 Computer science, information & general works Aiming to understand the data complexity of answering conjunctive queries mediated by an axiom stating that a class is covered by the union of two other classes, we show that deciding their first-order rewritability is PSPACE-hard and obtain a number of sufficient conditions for membership in AC0, L, NL, and P. Our main result is a complete syntactic AC0/NL/P/CONP tetrachotomy of path queries under the assumption that the covering classes are disjoint. International Joint Conferences on Artificial Intelligence Organization 2020-07-21 Monograph PeerReviewed text en https://repository.londonmet.ac.uk/6021/1/2006.04167.pdf Gerasimova, Olga, Kikot, Stanislav, Kurucz, Agi, Podolskii, Vladimir and Zakharyaschev, Michael (2020) A data complexity and rewritability tetrachotomy of ontology-mediated queries with a covering axiom. Technical Report. International Joint Conferences on Artificial Intelligence Organization. https://arxiv.org/abs/2006.04167 10.24963/kr.2020/41 10.24963/kr.2020/41
spellingShingle 000 Computer science, information & general works
Gerasimova, Olga
Kikot, Stanislav
Kurucz, Agi
Podolskii, Vladimir
Zakharyaschev, Michael
A data complexity and rewritability tetrachotomy of ontology-mediated queries with a covering axiom
title A data complexity and rewritability tetrachotomy of ontology-mediated queries with a covering axiom
title_full A data complexity and rewritability tetrachotomy of ontology-mediated queries with a covering axiom
title_fullStr A data complexity and rewritability tetrachotomy of ontology-mediated queries with a covering axiom
title_full_unstemmed A data complexity and rewritability tetrachotomy of ontology-mediated queries with a covering axiom
title_short A data complexity and rewritability tetrachotomy of ontology-mediated queries with a covering axiom
title_sort data complexity and rewritability tetrachotomy of ontology mediated queries with a covering axiom
topic 000 Computer science, information & general works
url https://repository.londonmet.ac.uk/6021/1/2006.04167.pdf
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