In normal PoW, if you own a botnet, unless your botnet has a significant % (something like 25-51% depend9ng on details) of global hash power you're economically incentiviced to work on the main chain rather than try to "take over" the network
“Prisoners of War”; in Aztec cryptocurrency mining, blocks are allocated based on captives taken in ritual combat, who are then sacrificed to prevent double counting.
Alternatively, “proof of work”, as used in Bitcoin.