The strategic insights of game theory experts like Thomas Schelling that shaped deterrence remain relevant as Trump constantly piled the pressure on Kim through a range of threats, from the ones he acted on like tough sanctions and others like strikes on North Korean facilities that he didn't.
Colonel Rob Manning, another spokesperson, said: "We are going to be aligned with the president", while noting that the readiness of United States forces would remain "paramout". "So, I think the rhetoric - I hated to do it, sometimes I felt foolish doing it - but we had no choice", he told Hannity.
Given Kim only repeated vague commitments to pursue the "denuclearization of the Korean peninsula", some observers questioned whether Trump was making overly drastic concessions.
One South Korean official said he initially thought Trump had mis-spoke.
During his talk with Hannity, Trump said his inflammatory rhetoric helped spur this new meeting.
North Korean leader Kim Jong Un's motorcade arrives at the Capella Hotel. "That's not part of the equation right now".
The US side seeks denuclearization on the Korean Peninsula under terms that give US and global authorities broad power to inspect nuclear reactors in North Korea at any time they choose to verify parts of a potential denuclearization agreement.
Ahn said for people who are not Korean, it's just an issue for the moment.
Stephen Pomper, US program director at the Crisis Group, said Trump had sown confusion by announcing the end of drills without first checking with the South Koreans.
But Daniel Davis, a retired army lieutenant colonel and fellow at the Defense Priorities military think tank, said suspending the drills would have no short-term impact on US and South Korean military readiness.
"It feels like there is a big change coming with this", she said.
Rep. Ed Royce of California, who is chairman of the House Foreign Affairs Committee, applauded Trump for pursuing peace through diplomacy, but he also said Kim had "gained much" Tuesday, "including an apparent promise" from Trump to suspend military drills.
The president said he and Kim "got along very well" from "the beginning" of the summit.
U.S. Air Force Airmen watch an F-16 Fighting Falcon take off during Exercise MAX THUNDER 17's media day at Kunsan Air Base, Republic of Korea, April 20, 2017.