Help me out with the vernacular: Would these guys be considered illegal or undocumented terrorists?

A U.S. government official tells CNN that the three students in law enforcement custody Wednesday are two students from Kazakhstan, Dias Kadyrbayev and Azamat Tazhayakov, and another student, a U.S. citizen. The official says that their case reveals more holes in information sharing…

It wasn’t until the Department of Homeland Security’s Immigration and Customs Enforcement division heard about the interviews later on Saturday that they realized Kadyrbayev and Tazhayakov were not currently of legal immigration status, and ICE officials went to pick them up and detain them.

The first US government official told CNN that at an immigration court hearing this morning, the court learned that Tazhayakov returned to Kazakhstan in December 2012, and his status with U. Mass-Dartmouth was terminated on January 3. Yet somehow he was allowed to return into the U.S. on January 20.

“They shouldn’t have let him in,” the first official told CNN. “Bells should have gone off.”