%0 Journal Article %T BRS Cohomology of Zero Curvature Systems I. The Complete Ladder Case %A M. Carvalho %A L. C. Q. Vilar %A C. A. G. Sasaki %A S. P. Sorella %J Mathematics %D 1995 %I arXiv %R 10.1063/1.531707 %X We present here the zero curvature formulation for a wide class of field theory models. This formalism, which relies on the existence of an operator $\d$ which decomposes the exterior space-time derivative as a BRS commutator, turns out to be particularly useful in order to solve the Wess-Zumino consistency condition. The examples of the topological theories and of the $B$-$C$ string ghost system are considered in detail. %U http://arxiv.org/abs/hep-th/9509047v2