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Reflexive Closure

The reflexive closure of a binary Relation $R$ on a Set $X$ is the minimal Reflexive Relation $R'$ on $X$ that contains $R$. Thus $a R' a$ for every element $a$ of $X$ and $a R' b$ for distinct elements $a$ and $b$, provided that $a
R b$.

See also Reflexive Reduction, Reflexive Relation, Relation, Transitive Closure




© 1996-9 Eric W. Weisstein
1999-05-25