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Reasoning on with Defeasibility in ASP

Published online by Cambridge University Press:  03 August 2021

LORIS BOZZATOOpen the ORCID record for LORIS BOZZATO[Opens in a new window],
THOMAS EITEROpen the ORCID record for THOMAS EITER[Opens in a new window] and
LUCIANO SERAFINIOpen the ORCID record for LUCIANO SERAFINI[Opens in a new window]
LORIS BOZZATO
Affiliation:
Fondazione Bruno Kessler, Via Sommarive 18, 38123 Trento, Italy (e-mail: bozzato@fbk.eu)
THOMAS EITER
Affiliation:
Technische Universität Wien, Favoritenstraße 9-11, A-1040 Vienna, Austria (e-mail: eiter@kr.tuwien.ac.at)
LUCIANO SERAFINI
Affiliation:
Fondazione Bruno Kessler, Via Sommarive 18, 38123 Trento, Italy (e-mail: serafini@fbk.eu)
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Abstract

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Reasoning on defeasible knowledge is a topic of interest in the area of description logics, as it is related to the need of representing exceptional instances in knowledge bases. In this direction, in our previous works we presented a framework for representing (contextualized) OWL RL knowledge bases with a notion of justified exceptions on defeasible axioms: reasoning in such framework is realized by a translation into ASP programs. The resulting reasoning process for OWL RL, however, introduces a complex encoding in order to capture reasoning on the negative information needed for reasoning on exceptions. In this paper, we apply the justified exception approach to knowledge bases in , that is, the language underlying OWL QL. We provide a definition for knowledge bases with defeasible axioms and study their semantic and computational properties. In particular, we study the effects of exceptions over unnamed individuals. The limited form of axioms allows us to formulate a simpler ASP encoding, where reasoning on negative information is managed by direct rules. The resulting materialization method gives rise to a complete reasoning procedure for instance checking in with defeasible axioms.1

Keywords

defeasible knowledgedescription logicsanswer set programmingjustifiable exceptions

Information

Type
Original Article
Information
Theory and Practice of Logic Programming , Volume 22 , Issue 2: Special Issue on the International Joint Conference on Rules and Reasoning, RuleML+RR 2019 , March 2022, pp. 254 - 304
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

Footnotes

*

We thank the reviewers for their constructive comments and suggestions to improve this paper.

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