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The problems of synthesis for testability of single finite state machine (FSM) have been extensively studied; however, the earlier algorithms either take much time or have higher area overhead to eliminate the valid/invalid equivalent sequentially redundant faults (SRF's). In this thesis, we present an efficient procedure to eliminate the valid/invalid equivalent SRF's in the single FSM. We also outline a synthesis procedureo synthesize a fully testable non-scan single FSM. The problems of synthesis for testability of interacting FSM's has received less attention than single FSM. There still exists some problems not addressed before. In this thesis, We consider a cascade machines, and address some problems forestability in the cascade machines. A synthesis procedure of fully testable non-scan cascade FSM's is also developed. Finally, we present experimental results on the synthesis of single and cascade FSM' s. Experimental results show that our synthesis procedures are efficient to synthesize both single and cascade fully testable FSM's.
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