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On Integrating Description Logic and Rules under MH Semantics


Anees ul Mehdi, Alexandre Miguel Pinto, Sebastian Rudolph



Published: 2012 Juli
Type: Technical Report
Institution: Institut AIFB, KIT
Erscheinungsort / Ort: Karlsruhe
Archivierungsnummer:3028

BibTeX
Kurzfassung
A central and much debated topic in the Knowledge Representation and Reasoning community is how to combine open-world with closed-world formalisms, such as Description Logics (DLs) with Logic Programming. We propose a new approach to defining the semantics of hybrid theories, composed of a DL and a normal logic program (NLP) parts, which employs Pinto and Pereira's Minimal Hypotheses Semantics (MHs) for the latter. A central and much debated topic in the Knowledge Representation and Reasoning community is how to combine open-world with closed-world formalisms, such as Description Logics (DLs) with Logic Programming. We propose a new approach to defining the semantics of hybrid theories, composed of a DL and a Normal Logic Program (NLP) parts, which employs Pinto and Pereira’s Minimal Hypotheses semantics (MHs) for the latter. Because this semantics is more general than the currently employed semantics for hybrid DL-NLP KBs based on Stable Model (SM) semantics, and because MH semantics guarantees model existence for every NLP, our hybrid semantics also guarantees the existence of models for any hybrid DL-NLP theory with consistent DL fragment and consistent DL-NLP ensemble. Finally, due to the MHs featuring beneficial theoretical properties, like relevance and cumulativity, existential query answering tasks may not need to consider the whole hybrid KB, as it is necessarily the case with current state-of-the-art approaches based on the SM semantics.Finally, due to the MHs featuring beneficial theoretical properties, like relevance and cumulativity, existential query answering tasks may not need to consider the whole hybrid KB, as it is necessarily the case with current state-of-the-art approaches based on the SM semantics.

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