For finite nonempty poset P, the probability powerdomain V1(P) is an RB-domain if and only if P has a least element and the undirected Hasse graph of P is a tree.
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Characterizing finite posets whose probabilistic powerdomain are RB-domains
For finite nonempty poset P, the probability powerdomain V1(P) is an RB-domain if and only if P has a least element and the undirected Hasse graph of P is a tree.