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Yes, forks are possible in Proof of Stake. Here is an example. Assume Alice (A) is the proposer for slot 1 and Bob (B) for slot 2. The genesis (G) block is slot 0. Alice creates the block at slot 1. This chain is G->A. Bob never saw Alice's block so he creates the block at slot 2. This chain is G->empty->B. There's now 2 forks. Charlie, the proposer ...

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