What were Category III threats?

What were Category III threats? - Photo of Female Mobster Pointing the Gun on Man

Immediately after Control was ordered to shut down the program in Person of Interest, she could be seen sadly looking at a folder labeled "Category IV - threats relevant to national security."

What were the first 3 kinds of threats? Didn't the Machine just sort people into Relevant and Irrelevant categories? Also, as I understood it, the government was never even forwarded the Irrelevant list because it would look too suspicious if they suddenly started anticipating so many crimes, so shouldn't there only be one category from the government's perspective?






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