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Statistical EL is ExpTime-complete

2 November 2019
Bartosz Bednarczyk
ArXiv (abs)PDFHTML
Abstract

We show that the consistency problem for Statistical ontologies, defined by Pe\~{n}aloza and Potyka, is ExpTime-hard. Together with recent results of Baader and Ecke, we conclude ExpTime-completeness of the logic. Our proof goes via a reduction from the consistency problem for EL extended with negation of atomic concepts.

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