Individual Axioms

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These are axioms concerning individuals.


Class assertion axiom

The class assertion axiom states that an individual is an instance of an class expression.

Object property assertion axiom

It states that the individual 'a1' is connected by the object property 'op' to an individual 'a2'.

Negative object property assertion axiom

It states that the individual 'a1' is not connected by the object property 'op' to an individual 'a2'.

Data property assertion axiom

With this axiom it is possible to state that an individual 'a' is connected by a data property 'dp' expression to a literal 'l1'.

Negative data property assertion axiom

The opposite of the data property assertion, so the individual 'a' is not connected by a data property 'dp' expression to a literal 'l1'.

Same individuals axiom

This axiom states that all individuals contained by this axiom are equal to each other.

Different individuals axiom

Other than the same individual's axiom, this one states that all contained individuals are not equal to each other.

Sources

  1. https://www.w3.org/TR/owl2-syntax/#Assertions
  2. https://www.w3.org/TR/owl2-primer/#Equality_and_Inequality_of_Individuals