Category:Examples of Well-Founded Relations
Jump to navigation
Jump to search
This category contains examples of Well-Founded Relation.
Definition 1
$\RR$ is a well-founded relation on $S$ if and only if:
- $\forall T \subseteq S: T \ne \O: \exists z \in T: \forall y \in T \setminus \set z: \tuple {y, z} \notin \RR$
where $\O$ is the empty set.
Definition 2
$\RR$ is a well-founded relation on $S$ if and only if:
- for every non-empty subset $T$ of $S$, $T$ has a minimal element.
Pages in category "Examples of Well-Founded Relations"
The following 2 pages are in this category, out of 2 total.