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The diagnostic programs used for maintenance of the ILLIAC, the University of Illinois' digital computer, are described. The uses of diagnostic programs for fault detection, fault isolation, and periodic computer servicing are discussed. The characteristics of the "leapfrog" program, both as a detection program and as an isolation program, are described in detail. Descriptions of one of the more complex isolation programs and of a typical servicing program are given. Pertinent characteristics of the ILLIAC and techniques of fault isolation are also included.