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Two macromolecular sequences which have evolved from a common ancestor sequence will tend to include a large number of elements unaffected by replace-ment mutations in both sequences, as long as the evolutionary rate is not too high or the divergence time is not too great. The positions of corresponding elements may have changed in either daughter sequence due to deletion/insertion mutations involving other sequence elements, but their order can be expected to be the same in both sequences. These sets of correspondences, called matches, may be computed by a recursive algorithm which incorporates constraints on the number of deletion/insertion mutations hypothesized to have occurred. A test is developed which computes the significance of each deletion/insertion hypothe-sized, based on Monte-Carlo sampling of random sequences with the same base composition as the experimental sequences being tested. Applying the test to 5 S RNAs confirms the relation of Esclzericliia co & and KB carcinoma 5 S RNAs a,nd establishes the previously undetected homology between Pseudomows $uorescens and KB 5 S RNAs. 1