Can Bitcoin(PoW) work under partial synchrony?
If I understand it correctly, this only proves it works in synchronous network. If so, this assumption seems relaxed to me.


The Bitcoin network is not synchronous, it is asynchronous and maintains consensus.


  Can Bitcoin protocol achieve consensus in partial synchronous network as well?


Since Bitcoin is an asynchronous network and achieves consensus, it stands to reason that Bitcoin would be able to achieve consensus in a synchronous or partially synchronous network as well.