AMI, or Artificial Machine Intelligence, is the common term for advanced but usually non-sentient programs, often entrusted with complex tasks that would be too mindless or repetitive for a replicant to perform, and instead opt to merely supervise. For example, in preparation for the Battle of Terra, the Bobs create dreadnoughts piloted by AMIs that they can send in to engage The Others at close range, without sacrificing a Bob on a suicide mission.
The Bobs alternate their pronunciation of the word, sometimes spelling out the acronym A.M.I., and sometimes pronouncing it like the name Amy