isDesignation indicates that the semantics of a TerminologyGraph (TBox graph) is closed-world.
isDesignation indicates that the semantics of a TerminologyGraph (TBox graph) is closed-world.
For example, this means that the semantics of taxonomic relations (e.g., EntityConceptSubClassAxiom) and restrictions (e.g., EntityConceptRestrictionAxiom) is closed world in the following sense: Suppose there is a Designation TBox graph G where the only taxonomic relationships asserted about concept A is that concepts B and C are subclasses of concept A. The closed world semantics of G as a Designation TBox means that B and C designate distinct sets of things (this is the so-called "Unique Name Assumption") and that there does not exist any other concept distinct from B or C that can be a subclass of A anywhere else.
Additionally, the extent of each OML Entity represented as an OWL2 Class (i.e., OML Aspect, Concept, ReifiedRelationship) is a set of exactly one instance due to an OWL2 Key axiom asserting the unicity of an instance according to the value of its essential identification properties (scalar or structured).
isOpenWorld indicates that the semantics of a TerminologyGraph (TBox graph) is open-world.
isOpenWorld indicates that the semantics of a TerminologyGraph (TBox graph) is open-world.
For example, this means that the semantics of taxonomic relations (e.g., EntityConceptSubClassAxiom) and restrictions (e.g., EntityConceptRestrictionAxiom) is open world in the following sense: Suppose there is a Definition TBox graph G where a taxonomic relationship asserts that concepts B and C are subclasses of concept A. The open world semantics of G as a Definition TBox means that there may exist another concept distinct from B or C that is asserted to be subclass of A in a some other Definition TBox graph that directly or indirectly imports G.
Additionally, the extent of each OML Entity represented as an OWL2 Class (i.e., OML Aspect, Concept, ReifiedRelationship) is a set of zero or more instances.
TerminologyKind indicates whether the semantics of the vocabulary of type terms defined in a TerminologyGraph (TBox graph) is open-world or closed-world