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[tlaplus] vertical paxos proof/TLA+ spec?



I'm researching reconfiguration (reliable membership) protocols, and
Vertical Paxos comes up often in the literature.

However, when I read this paper, which seems to be the definition
of Vertical Paxos,

https://www.microsoft.com/en-us/research/publication/vertical-paxos-and-primary-backup-replication/

I don't see a correctness (safety) proof at all. I feel like
I must be missing something. Was it proved elsewhere?
Is there a TLA+ spec I can read?  Implementing it correctly
seems fraught without having at least a machine checked,
or even better, a hand written proof.

Thanks for any pointers!

Jason


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