\begin{definition}[Definition:Antiassociative Operation]
Let $\circ$ be a binary operation on the set $S$.
$\circ$ is an '''antiassociative operation''' on $S$ {{iff}}:
:$\forall x, y, z \in S: \paren {x \circ y} \circ z \ne x \circ \paren {y \circ z}$
\end{definition}