  The local form of higher-spin equations found recently to the second order
[1] is shown to properly reproduce the anticipated $AdS/CFT$ correlators for
appropriate boundary conditions. It is argued that consistent $AdS/CFT$
holography for the parity-broken boundary models needs a nontrivial
modification of the bosonic truncation of the original higher-spin theory with
the doubled number of fields, as well as a nonlinear deformation of the
boundary conditions in the higher orders.
