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Hennessy and Patterson's book 'Computer Architecture: a quantitative approach' is useful for you.
There is download links for serval editions in this forum.
xilinx asynchronous reset signal constraint
The sequential circuits need a signal to enter an initial state that is reset.
Syn-reset signal is always sampled at the edge of clock while asyn-reset not.
I think the Synopsys on line document discussed such problem, you may refer to it.
Firstly use Design Compiler to synthesis your design, the tool will give you results such as critical path.
For your 2nd question, basically the longest timing path is the critical path. Primetime is a powerful tools to analyze the timing path. For you, the Design Compiler is enough.
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