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|Abstract=We show that the consistency problem for Statistical EL ontologies, defined by Peñaloza 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.
|Abstract=We show that the consistency problem for Statistical EL ontologies, defined by Peñaloza 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.
|Download=BBE-IPL21.pdf
|Download=BBE-IPL21.pdf
|Link=https://www.sciencedirect.com/science/article/abs/pii/S0020019021000272
|DOI Name=10.1016/j.ipl.2021.106113
|Forschungsgruppe=Computational Logic
|Forschungsgruppe=Computational Logic
}}
}}

Version vom 7. Mai 2021, 21:15 Uhr

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Statistical EL is ExpTime-complete

Bartosz BednarczykBartosz Bednarczyk
Bartosz Bednarczyk
Statistical EL is ExpTime-complete
Information Processing Letters, 169C(106113), August 2021
  • KurzfassungAbstract
    We show that the consistency problem for Statistical EL ontologies, defined by Peñaloza 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.
  • Weitere Informationen unter:Further Information: Link
  • Forschungsgruppe:Research Group: Computational LogicComputational Logic
@article{B2021,
  author  = {Bartosz Bednarczyk},
  title   = {Statistical {EL} is {ExpTime-complete}},
  journal = {Information Processing Letters},
  volume  = {169C},
  number  = {106113},
  year    = {2021},
  month   = {August},
  doi     = {10.1016/j.ipl.2021.106113}
}