Quandles and symmetric quandles for higher dimensional knots

A symmetric quandle is a quandle with a good involution. For a knot in $R^3$, a knotted surface in $R^4$ or an $n$-manifold knot in $R^{n+2}$, the knot symmetric quandle is defined. We introduce the notion of a symmetric quandle presentation, and show how to get a presentation of a knot symmetric quandle from a diagram.