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I dont think there are any tools to do that. Identifying false path and multicycle paths require human intellegence. False path in some cases may be identified automatically, but multicycle path is a design issue, where the designer may approve some paths to take more than a clock cycle to complete.
So in short the answer to your question is NO.
FOCUS from fishtail claims it can detect False path and multicycle paths. We tried in last project. only 30-40% of the exceptions reported by tool are matching with expected ones..Hope they will come with more statatic methods to find exceptions.
The majority of important paths will require human examination. This is not because computer are stupid, but because finding false path requires a higher level knowledge of the protocol and the signaling.