Definition:Reflexive Transitive Closure/Smallest Reflexive Transitive Superset

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Let $\RR$ be a relation on a set $S$.

The reflexive transitive closure of $\RR$ is denoted $\RR^*$, and is defined as the smallest reflexive and transitive relation on $S$ which contains $\RR$.

Also see

  • Results about reflexive transitive closures can be found here.