  Recent investigation of locality problem for higher-spin fields led to a
vertex reconstruction procedure that involved elements of contraction of the
original Vasiliev interaction algebra. Inspired by these results we propose the
Vasiliev-like generating equations for holomorphic higher-spin interactions in
four dimensions based on the observed contracted algebra. We specify the
functional class that admits evolution on the proposed equations and brings in
a systematic procedure of extracting all-order holomorphic vertices. A simple
consequence of the proposed equations is space-time locality of the gauge field
sector. We also show that vertices come with a remarkable shift symmetry.
