  In this work we look at Byzantine consensus in asynchronous systems under the
local broadcast model. In the local broadcast model, a message sent by any node
is received identically by all of its neighbors in the communication network,
preventing a faulty node from transmitting conflicting information to different
neighbors. Our recent work has shown that in the synchronous setting, network
connectivity requirements for Byzantine consensus are lower under the local
broadcast model as compared to the classical point-to-point communication
model. Here we show that the same is not true in the asynchronous setting, and
the network requirements for Byzantine consensus stays the same under local
broadcast as under point-to-point communication model.
