On the topic of the thread, I consider Bitcoin and BGP as distinct, but related, problems. The setup is quite different, and I haven't seen anything close to a method (including Satoshi's email) to reduce one to the other.
The main difference is that PoW chains use an
amortized byzantine consensus. Nodes vote individually (rather than all at once) with their hashing power on the branch of the chain which they consider to be truth. A 'no' vote results in the branch getting orphaned, a 'yes' vote has that branch become (or stay) the canonical branch.