  We present effective procedures to calculate regular normal cones and other
related objects using quantifier elimination. This method of normal cone
calculations is complementary to computing Lagrangians and it works best at
points where the constraint qualifications fail and extra work for other
methods becomes inevitable. This method also serves as a tool to calculate the
regular co-derivative for semismooth* Newton methods. We list algorithms and
their demonstrations of different use cases for this approach.
