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Subsumption of concepts in $DL$ $\cal FL_0$ for (cyclic) terminologies with respect to descriptive semantics is PSPACE-complete

Kazakov, Yevgeny and de Nivelle, Hans

MPI-I-2003-2-003. April 2003, 12 pages. | Status: available - back from printing | Next --> Entry | Previous <-- Entry

Abstract in LaTeX format:
We prove the PSPACE-completeness of the subsumption problem for(cyclic) terminologies with respect to descriptive semantics in a simple Description Logic ${\cal FL}_0$, which allows for conjunctions and universal value restrictions only, thus solving the problem which was open for more than ten years.
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  AUTHOR = {Kazakov, Yevgeny and de Nivelle, Hans},
  TITLE = {Subsumption of concepts in $DL$ ${\cal FL}_0$ for (cyclic) terminologies with respect to descriptive semantics is PSPACE-complete},
  TYPE = {Research Report},
  INSTITUTION = {Max-Planck-Institut f{\"u}r Informatik},
  ADDRESS = {Stuhlsatzenhausweg 85, 66123 Saarbr{\"u}cken, Germany},
  NUMBER = {MPI-I-2003-2-003},
  MONTH = {April},
  YEAR = {2003},
  ISSN = {0946-011X},