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Description Logic - Semantics
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Semantics follow standard FOL model theory
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Description Logics are a fragment of FOL
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The vocabulary is the set of names (concepts and roles) used
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I.e. Mother, Father, Person, knows, isRelatedTo, hasChild, …
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An interpretation I is a tuple (∆I, ⋅I)
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∆I is the domain (a set)
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⋅I is a mapping that maps:
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Names of objects (individuals) to elements of the domain
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Names of unary predicates (classes/concepts) to subsets of the domain
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Names of binary predicates (properties/roles) to subsets of ∆I x ∆I
