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  Subsumption of Concepts in FL_0 for (Cyclic) Terminologies with Respect to Descriptive Semantics is PSPACE-complete

Kazakov, Y., & de Nivelle, H. (2003). Subsumption of Concepts in FL_0 for (Cyclic) Terminologies with Respect to Descriptive Semantics is PSPACE-complete. In 2003 International Workshop on Description Logics (DL-03) (pp. 56-64). Aachen, Germany: CEUR.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2E3F-5 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-2E41-E
Genre: Conference Paper

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 Creators:
Kazakov, Yevgeny1, Author           
de Nivelle, Hans1, Author           
Calvanese, Diego, Editor
De Giacomo, Giuseppe, Editor
Franconi, Enrico, Editor
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1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: We close the gap in the complexity classification of subsumption in the simple description logic ${\cal FL}_0$, which allows for conjunctions and universal value restriction only. We prove that the subsumption problem in ${\cal FL}_0$ is PSPACE-complete for descriptive semantics when cyclic definitions are allowed. Our proof uses automata theory and as a by-product we establish the PSPACE-completeness of a certain decision problem for regular languages.

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Language(s): eng - English
 Dates: 2004-06-222003
 Publication Status: Issued
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 Identifiers: eDoc: 202032
Other: Local-ID: C1256104005ECAFC-746B1C632282C1C9C1256E23006ADC00-Kazakov03SubsumptionFLzero
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Title: DL 2003
Place of Event: Rome, Italy
Start-/End Date: 2003-09-05 - 2003-09-07

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Title: 2003 International Workshop on Description Logics (DL-03)
Source Genre: Proceedings
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Publ. Info: Aachen, Germany : CEUR
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 56 - 64 Identifier: -

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Title: CEUR Workshop Proceedings
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: ISSN: 1613-0073