Concept Definition

Let $\mathcal{D}$ be a Description Logic with concepts $\mathcal{C}$.

We can define a new Concept with a pair $c=C$ where $c$ is a new concept and $C\in \mathcal{C}$ is a $\mathcal{D}$ formula.

We can for example define a mother as $\text{mother}=\text{woman}\sqcap \text{has child}$.

A concept definition is recursive when the new concept $c$ is also in $C$ which is used to describe the new concept. This is also called cyclic TBox.