WASHINGTON  Civil libertarians recently accused President Obama of acting like former President George W. Bush, citing reports about Mr. Obama’s plans to detain terrorism suspects without trials on domestic soil after he closes the Guantánamo prison.

It was only the latest instance in which critics have argued that Mr. Obama has failed to live up to his campaign pledge “to restore our Constitution and the rule of law” and raised a pointed question: Has he, on issues related to fighting terrorism, turned out to be little different from his predecessor?

The answer depends on what it means to act like Mr. Bush.

As they move toward completing a review of their options for dealing with the detainees, Obama administration officials insist that there is a fundamental difference between Mr. Bush’s approach and theirs. While Mr. Bush claimed to wield sweeping powers as commander in chief that allowed him to bypass legal constraints when fighting terrorism, they say, Mr. Obama respects checks and balances by relying on  and obeying  Congressional statutes.

“While the administration is considering a series of options, a range of options, none relies on legal theories that we have the inherent authority to detain people,” Robert Gibbs, the White House press secretary, said this week in response to questions about the preventive detention report. “And this will not be pursued in that manner.”