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In this correspondence uniform decomposition procedures are extended to incompletely specified sequential machines. Any given Moore sequential machine is realized by interconnecting copies of a universal two-state component machine. The information processed by each component machine is represented by its corresponding partial mapping. When the sequential machine is incompletely specified, a reduction in the number of component machine copies is possible. The reduction is found by a uniform-cost search algorithm which finds a minimal cover on the set of partial mappings.