Probabilistic Description Logics For Subjective Uncertainty

被引:20
作者
Gutierrez-Basulto, Victor [1 ]
Jung, Jean Christoph [1 ]
Lutz, Carsten [1 ]
Schroeder, Lutz [2 ]
机构
[1] Univ Bremen, Bibliothekstr 1, D-28359 Bremen, Germany
[2] Friedrich Alexander Univ Erlangen Nurnberg, Schlosspl 4, D-91054 Erlangen, Germany
关键词
D O I
10.1613/jair.5222
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We propose a family of probabilistic description logics (DLs) that are derived in a principled way from Halpern's probabilistic first-order logic. The resulting probabilistic DLs have a two-dimensional semantics similar to temporal DLs and are well-suited for representing subjective probabilities. We carry out a detailed study of reasoning in the new family of logics, concentrating on probabilistic extensions of the DLs A L C and E L, and showing that the complexity ranges from PTime via ExpTime and 2ExpTime to undecidable.
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页码:1 / +
页数:66
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