  We build a setup for path integral quantization through the Faddeev-Jackiw
approach, extending it to include Grassmannian degrees of freedom, to be later
implemented in a model of generalized electrodynamics that involves
fourth-order derivatives in the components of a massive vector field being
endowed with gauge freedom, due to an additional scalar field. Namely, the
generalized Stueckelberg electrodynamics. In the first instance, we work on the
free case to gain some familiarity with the program and, subsequently, we add
the interaction with fermionic matter fields to complete our aim. In addition
to deriving the correct classical brackets for such a model, we get the full
expression for the associated generating functional and its associated
integration measure.
