Internet companies and civil liberties groups were alarmed this spring when a U.S. Senate bill proposed handing the White House the power to disconnect private-sector computers from the Internet.

The new version would allow the president to “declare a cybersecurity emergency” relating to “non-governmental” computer networks and do what’s necessary to respond to the threat. Other sections of the proposal include a federal certification program for “cybersecurity professionals,” and a requirement that certain computer systems and networks in the private sector be managed by people who have been awarded that license.