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An algorithm to synthesize two-dimensional AND-EOR arrays is given. The design criterion chosen is to minimize the number of columns in the two-dimensional cellular arrays. It is also shown that And-Eor arrays, synthesized using the algorithm presented, can be modified such that 2n + 5 test vectors will detect any single fault in the array realizing an n-variable function with only one observable output. Furthermore, this test set is shown to be independent of the function being realized by the cellular array under test.