Definition:Reflexive Transitive Closure/Reflexive Closure of Transitive Closure

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Definition

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

The reflexive transitive closure of $\RR$ is denoted $\RR^*$, and is defined as the reflexive closure of the transitive closure of $\RR$:

$\RR^* = \paren {\RR^+}^=$


Also see

  • Results about reflexive transitive closures can be found here.