Current data flow testing criteria cannot be applied to test array elements for two reasons: 1. The criteria are defined in terms of graph theory which is insufficiently expressive to investigate array elements. 2. Identifying input data which test a specified array element is an unsolvable problem. We solve the first problem by redefining the criteria without graph theory. We address the second problem with the invention of the wp_du method, which is based on Dijkstra's weakest pre-condition formalism. This method accomplishes the following: Given a program, a def-use pair and a variable (which can be an array element), the method computes a logical expression which characterizes all the input data which test that def-use pair with respect to that variable. Further, for any data flow criterion, this method can be used to construct a logical expression which characterizes all test sets which satisfy that data flow criterion. Although the wp_du method cannot avoid unsolvability, it does confine the presence of unsolvability to the final step in constructing a test set.