Translate the following statements into logical symbolism, in each case using the abbreviations suggested:

An old European joke goes like this: In America, everything is permitted that is not forbidden. In Germany, everything is forbidden that is not permitted. In France, everything is permitted even if it’s forbidden. In Russia, everything is forbidden even if it’s permitted. ( Ax: x is in America; Gx: x is in Germany; Fx: x is in France; Rx: x is in Russia; Px: x is permitted; Nx: x is forbidden)