Definition:Dual Relation/Complement of Inverse
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Definition
Let $\RR \subseteq S \times T$ be a binary relation.
Then the dual of $\RR$ is denoted $\RR^d$ and is defined as:
- $\RR^d := \overline {\paren {\RR^{-1} } }$
where:
- $\RR^{-1}$ denotes the inverse of $\RR$
- $\overline {\paren {\RR^{-1} } }$ denotes the complement of the inverse of $\RR$.