Ontology KIF-SETS


Ontology documentation:

The KIF vocabulary for set ontology as defined in the KIF 3.0

specification.

Notes:


Summary of Kif-Sets:

No translations

No shadowed words

No public words

No private words

Kif-Sets includes no ontologies.

Kif-Sets also references these ontologies:

    Kif-Extensions
       Frame-Ontology
          Interface-Ontology
             Kif-Numbers
                Kif-Extensions ...
                Kif-Relations
                   Kif-Sets
                      Kif-Extensions ...
                      Kif-Lists
                         Kif-Sets ...
                         Kif-Relations ...
                         Kif-Numbers ...
                         Frame-Ontology ...
                      Kif-Relations ...
                      Frame-Ontology ...
                   Kif-Lists ...
                   Kif-Extensions ...
                   Frame-Ontology ...
                Frame-Ontology ...
             Kif-Extensions ...
             Simple-Time
                Kif-Numbers ...
                Kif-Relations ...
                Kif-Sets ...
                Ranges
                   Kif-Relations ...
                   Frame-Ontology ...
                   Kif-Numbers ...
                Frame-Ontology ...
                Slot-Constraint-Sugar
                   Kif-Numbers ...
                   Frame-Ontology ...
                   Kif-Relations ...
                   Kif-Sets ...
             Agents
                Kif-Relations ...
                Kif-Meta
                   Kif-Relations ...
                   Kif-Numbers ...
                   Frame-Ontology ...
                   Kif-Sets ...
                   Kif-Lists ...
                Frame-Ontology ...
                Slot-Constraint-Sugar ...
             Frame-Ontology ...
             Kif-Relations ...
          Kif-Numbers ...
          Kif-Lists ...
          Kif-Sets ...
          Kif-Meta ...
          Kif-Extensions ...
          Kif-Relations ...
       Kif-Relations ...
       Kif-Numbers ...
       Kif-Lists ...
       Kif-Sets ...
    Kif-Lists ...
    Kif-Relations ...
    Frame-Ontology ...

Ontologies that include Kif-Sets:

    Kif-Relations
       Frame-Ontology
          Slot-Constraint-Sugar
             Simple-Time
                Interface-Ontology
                   Interface-Definition-Language
                   Device-Ontology
                      Hp-Product-Ontology
                         Digital-Designer-Query-Ontology
                         Physicist-Query-Ontology
                   Hp-Product-Ontology ...
                   Digital-Designer-Query-Ontology
                   Physicist-Query-Ontology
                Documents
                   Bibliographic-Data
                   Product-Ontology
                      Device-Ontology ...
                      Hp-Product-Ontology ...
                      Vehicles
                Bibliographic-Data
                Job-Assignment-Task
                Enterprise-V1.0
             Agents
                Interface-Ontology ...
                Documents ...
                Bibliographic-Data
                Product-Ontology ...
             Documents ...
             Bibliographic-Data
             Product-Ontology ...
          Basic-Matrix-Algebra
             Tensor-Quantities
                3d-Tensor-Quantities
                   Simple-Geometry
                      Mechanical-Components
                         Mace-Domain
          Interface-Definition-Language
          Interface-Ontology ...
          Component-Assemblies
             Dme-Cml
             Components-With-Constraints
                Mace-Domain
                Vt-Design
                   Vt-Domain
                      Vt-Example
             Mechanical-Components ...
          Ranges
             Simple-Time ...
          Simple-Time ...
          Agents ...
          Documents ...
          Bibliographic-Data
          Abstract-Algebra
             Physical-Quantities
                Standard-Dimensions
                   Unary-Scalar-Functions
                      Cml
                         Dme-Cml
                      Mace-Domain
                   Standard-Units
                      Cml ...
                      Product-Ontology ...
                      Device-Ontology ...
                   Simple-Geometry ...
                   Vt-Design ...
                Scalar-Quantities
                   Unary-Scalar-Functions ...
                   Tensor-Quantities ...
                   Vt-Design ...
                   Product-Ontology ...
                Quantity-Spaces
                   Simple-Geometry ...
                Device-Ontology ...
             Product-Ontology ...
          Parametric-Constraints
             Components-With-Constraints ...
          Job-Assignment-Task
          Product-Ontology ...
          Digital-Designer-Query-Ontology
          Physicist-Query-Ontology
          User-Ontology
          Enterprise-V1.0
       Kif-Extensions
          Frame-Ontology ...
    Kif-Extensions ...
    Kif-Meta
       Frame-Ontology ...
       Parametric-Constraints ...

Other ontologies that reference Kif-Sets:

    Kif-Lists
       Kif-Relations ...
       Frame-Ontology ...
       Kif-Sets ...
       Kif-Extensions ...
       Kif-Meta ...
       Physical-Quantities ...
       Basic-Matrix-Algebra ...
       Interface-Definition-Language
       Unary-Scalar-Functions ...
       Bibliographic-Data
       Parametric-Constraints ...
       Enterprise-V1.0

Kif-Sets uses no ontologies.

Ontologies using Kif-Sets are the same as those that include it.

Class hierarchy (7 classes defined):

    Bounded
       Simple-Set
    Empty
    Individual
    Set
       Proper-Set
       Simple-Set
    Unbounded

8 relations defined:

  Disjoint
  Member
  Mutually-Disjoint
  Pairwise-Disjoint
  Proper-Subset
  Set-Cover
  Set-Partition
  Subset

6 functions defined:

  Complement
  Difference
  Generalized-Intersection
  Generalized-Union
  Intersection
  Union

2 instances defined:

  False
  True

55 unnamed axioms defined.

8 named axioms defined:

  Axiom-Of-Choice
  Axiom-Of-Infinity
  Axiom-Of-Regularity
  Extensionality-Property-Of-Sets
  Finite-Set-Axiom
  Intersection-Axiom
  Subset-Axiom
  Union-Axiom

7 classes defined:

  Bounded
  Empty
  Individual
  Proper-Set
  Set
  Simple-Set
  Unbounded

All constants that were mentioned were defined.