This paper extends the classical notion of critical paths in combinational circuits to the case of synchronous circuits that use level-sensitive latches. Critical paths in such circuits arise from setup, hold, and cyclic constraints on the data signals at the inputs of each latch and may extend through one or more latches. Two approaches are presented for identifying these critical paths and verifying their timing. The first implicitly checks all paths using a relaxation-based solution procedure. Results of this procedure are used to calculate slack values, which in turn identify satisfied and violated critical paths. The second approach is based on a constructive algorithm which generates all the critical paths in a circuit and then verifies that their timing constraints are satisfied. Algorithms are evaluated and compared using circuits from the ISCAS89 sequential benchmark suite and the Michigan High Performance Microprocessor Project.
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