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Statistical EL is ExpTime-complete

Published 2 Nov 2019 in cs.LO and cs.AI | (1911.00696v5)

Abstract: We show that the consistency problem for Statistical EL ontologies, defined by Pe{~{n}}aloza and Potyka, is ExpTime-hard. Together with existing ExpTime upper bounds, 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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