TITLE: What do you call a set whose subsets all have unique sums?
QUESTION [5 upvotes]: An example would be $\{1, 3, 7\}$, which has subsets with sums $1, 3, 7, 4, 10, 8, 11$.
What is this called?

REPLY [4 votes]: They are usually called sets with distinct subset sums. The name is a little long, but is self-descriptive, which is a plus. Sometimes it gets shortened to subset-sum-distinct set, or SSD-set. Like in the paper On subset-sum-distinct sequences by Jaegug Bae.