An asymmetrically programmed memory material (such as a solid electrolyte material) is described for use as a rectifying element for driving symmetric or substantially symmetric resistive memory elements in a crosspoint memory architecture. A solid electrolyte element (SE) has very high resistance in the OFF state and very low resistance in the ON state (because it is a metallic filament in the ON state). These attributes make it a near ideal diode. During the passage of current (during program/read/erase) of the memory element, the solid electrolyte material also programs into the low resistance state. The final state of the solid electrolyte material is reverted to a high resistance state while making sure that the final state of the memory material is the one desired.