The paper present efficient reverse-order-restoration (ROR)-based static test compaction techniques for synchronous sequential circuits. Unlike previous ROR techniques that rely on vector-by-vector fault-simulation-based restoration of test subsequences, the authors’ technique restores test sequences based on efficient test relaxation. The restored test subsequence can be either concatenated to the compacted test sequence, as in previous approaches, or merged with it. Furthermore, it allows the removal of redundant vectors from the restored subsequences using a state traversal technique and incorporates schemes for increasing the fault coverage of restored test subsequences to achieve an overall higher level of compaction. In addition, test relaxation is used to take ROR out of saturation. Experimental results demonstrate the effectiveness of the proposed techniques.