Paxos is a fault tolerant distributed consensus algorithm. Are there any blockchain frameworks which follows paxos algorithm for adding blocks to the blockchain.
Blockchain's consensus algorithms are used to keep malicious nodes from causing harm to the chain, it is a paranoid approach assuming everyone is malicious. These algorithms fall under the Byzantine fault tolerance scope. On the other hand, Paxos in distributed computing is more trusting; when a master node goes down, the others will vote a new master node. A malicious node, or set of nodes, during this process could keep jumping in corrupting the election essentially halting the process. And if the malicious nodes become the master... then what?
There does exist a hybrid, but for the scale of a Blockchain, it could not keep up.
TLDR; None that I know of, and above is the reason.