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{{Publikation Erster Autor
{{Publikation Erster Autor
|ErsterAutorVorname=Ismail Ilkan
|ErsterAutorVorname=İsmail İlkan
|ErsterAutorNachname=Ceylan
|ErsterAutorNachname=Ceylan
|FurtherAuthors=Rafael Peñaloza
|FurtherAuthors=Rafael Peñaloza
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|Referiert=1
|Referiert=1
|Title=Tight Complexity Bounds for Reasoning in the Description Logic BEL
|Title=Tight Complexity Bounds for Reasoning in the Description Logic BEL
|To appear=0
|Year=2014
|Year=2014
|Month=
|Booktitle=Proceedings of the 14th European Conference on Logics in Artificial Intelligence (JELIA 2014)
|Booktitle=Proceedings of the 14th European Conference on Logics in Artificial Intelligence (JELIA 2014)
|Editor=Eduardo Fermé and João Leite
|Note=
|Organization=
|Pages=77-91
|Pages=77-91
|Publisher=Springer
|Publisher=Springer
|Editor=Eduardo Fermé and João Leite
|Series=Lecture Notes in Computer Science
|Series=Lecture Notes in Computer Science
|Volume=8761
|Volume=8761
|To appear=0
|Organization=
}}
}}
{{Publikation Details
{{Publikation Details
|Abstract=Recently, Bayesian extensions of Description Logics, and in particular the logic BEL, were introduced as a means of representing certain knowledge that depends on an uncertain context. In this paper we introduce a novel structure, called proof structure, that encodes the contextual information required to deduce subsumption relations from a BEL knowledge base. Using this structure, we show that probabilistic reasoning in BEL can be reduced in polynomial time to standard Bayesian network inferences, thus obtaining tight complexity bounds for reasoning in BEL.
|Abstract=Recently, Bayesian extensions of Description Logics, and in particular the logic BEL, were introduced as a means of representing certain knowledge that depends on an uncertain context. In this paper we introduce a novel structure, called proof structure, that encodes the contextual information required to deduce subsumption relations from a BEL knowledge base. Using this structure, we show that probabilistic reasoning in BEL can be reduced in polynomial time to standard Bayesian network inferences, thus obtaining tight complexity bounds for reasoning in BEL.
|ISBN=
|ISSN=
|Link=
|Download=CePe-JELIA14.pdf
|Download=CePe-JELIA14.pdf
|Slides=
|DOI Name=
|Projekt=
|Forschungsgruppe=Automatentheorie
|Forschungsgruppe=Automatentheorie
|BibTex=@inproceedings{ CePe-JELIA14,
  author = {Ismail Ilkan {Ceylan} and Rafael {Pe{\~n}aloza} },
  booktitle = {Proceedings of the 14th European Conference on Logics in Artificial Intelligence (JELIA 2014)},
  editor = {Eduardo {Ferm{\'e} } and Jo{\~a}o {Leite} },
  pages = {77--91},
  publisher = {Springer},
  series = {Lecture Notes in Computer Science},
  title = {Tight Complexity Bounds for Reasoning in the Description Logic {$\mathcal{BEL}$} },
  volume = {8761},
  year = {2014},
}
}}
}}

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Tight Complexity Bounds for Reasoning in the Description Logic BEL

İsmail İlkan Ceylanİsmail İlkan Ceylan,  Rafael PeñalozaRafael Peñaloza
İsmail İlkan Ceylan, Rafael Peñaloza
Tight Complexity Bounds for Reasoning in the Description Logic BEL
In Eduardo Fermé and João Leite, eds., Proceedings of the 14th European Conference on Logics in Artificial Intelligence (JELIA 2014), volume 8761 of Lecture Notes in Computer Science, 77-91, 2014. Springer
  • KurzfassungAbstract
    Recently, Bayesian extensions of Description Logics, and in particular the logic BEL, were introduced as a means of representing certain knowledge that depends on an uncertain context. In this paper we introduce a novel structure, called proof structure, that encodes the contextual information required to deduce subsumption relations from a BEL knowledge base. Using this structure, we show that probabilistic reasoning in BEL can be reduced in polynomial time to standard Bayesian network inferences, thus obtaining tight complexity bounds for reasoning in BEL.
  • Forschungsgruppe:Research Group: AutomatentheorieAutomata Theory
The final publication is available at Springer.
@inproceedings{CP2014,
  author    = {{\.{I}}smail {\.{I}}lkan Ceylan and Rafael Pe{\~{n}}aloza},
  title     = {Tight Complexity Bounds for Reasoning in the Description Logic
               {BEL}},
  editor    = {Eduardo Ferm{\'{e}} and Jo{\~{a}}o Leite},
  booktitle = {Proceedings of the 14th European Conference on Logics in
               Artificial Intelligence (JELIA 2014)},
  series    = {Lecture Notes in Computer Science},
  volume    = {8761},
  publisher = {Springer},
  year      = {2014},
  pages     = {77-91}
}