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One key area of research I'm doing with #cassandra is testing hybridization of deterministic & probabilistic consensus models.

Successfully doing so would provide an almost "best of both worlds" type model.

...
Probabilistic (#nakamoto) has strong liveness guarantees but is never really safe.

Deterministic (classical) guarantees safety but is difficult to resolve both liveness and safety issues. Usually requiring some #godmode
The #cassandra approach has 2-phases.

The 1st phase is probabilistic promoting liveness to a strong guarantee.

The 2nd phase receives the output of the 1st phase and produces a classical 2f+1 safety threshold.
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