Minimal Negation Operator/Examples

Examples of the Minimal Negation Operator
Let $\nu_k$ denote the minimal negation operator with $k$ arguments.

Expressed in disjunctive normal form, the first few instances of $\nu_k$ are as follows:

Example: $\nu_2$
For $k > 2$ there is no immediate correspondence between $\nu_k$ and conventional logical operators.