Using the CDF detector, dijet and W production with rapidity gaps has been searched for as evidence for hard-pomeron induced diffraction. Diffractive W's are sensitive to a pomeron with a hard-quark structure, while diffractive dijets are sensitive to both hard-gluon and hard-quark structure. No evidence of diffractive W's has been found down to the few percent level and the fraction of diffractive dijets is measured to be (-0.30 =/- 0.37%,