  Some aspects of the result of applying unit resolution on a CNF formula can
be formalized as functions with domain a set of partial truth assignments. We
are interested in two ways for computing such functions, depending on whether
the result is the production of the empty clause or the assignment of a
variable with a given truth value. We show that these two models can compute
the same functions with formulae of polynomially related sizes, and we explain
how this result is related to the CNF encoding of Boolean constraints.
