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4. Structured Descriptions

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Page 1: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S

4. Structured Descriptions

Page 2: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 3: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 4: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 5: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 6: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 7: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 8: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 9: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 10: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 11: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 12: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 13: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 14: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 15: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 16: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 17: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 18: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 19: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 20: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 21: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 22: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 23: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 24: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 25: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 26: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S
Page 27: 4. Structured Descriptions - Stanford UniversityEntailment in DL is defined as in FOL. A set of DL sentences S entails a sentence (which we write S I— u) iff for every 3 , if 3 S

Recommended Reading

1. Chapter 9 from the Brachman & Levesque textbook2. OWL: a Description Logic Based Ontology Language

for the Semantic Web by Ian Horrocks, Peter F. Patel-Schneider, Deborah L. McGuinness, and Christopher A. Welty. In the Description Logic Handbook, Second Edition.


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