North Korean state media have reported that President Trump made a raft of concessions to Kim Jong Un that were not stated in the two countries' joint statement, following a first-ever meeting of the leaders in Singapore.
After arriving back in the U.S., the president also tweeted that "everybody can now feel much safer".
Even as Washington agreed to suspend joint USA and South Korean military exercises as the country pursues peace with North Korea and the denuclearization of the Korean peninsula, Seoul is modernizing its military and purchasing new missiles and fighter aircraft.
"We're hopeful that we can achieve that in, what was it, the next two and half years", the top American diplomat said when asked how soon the USA wanted to see North Korea move to dismantle its nuclear weapons program.
"Under the circumstances that we're negotiating a very comprehensive complete deal, I think it's inappropriate to have war games", Trump said of the joint military exercises that for decades have bolstered USA and South Korean readiness.
He also announced an unexpected end to US-South Korea military drills.
Trump's Tuesday meeting with Kim produced a wave of United States concessions in exchange for vague, nonbinding promises from North Korea, but it did make nuclear war all but inconceivable at the present moment.
As Trump acknowledged that denuclearisation would not be accomplished overnight, the North suggested on Wednesday that Trump had moved away from his demand for complete denuclearisation before U.S. sanctions on the long-isolated country are removed. There is no longer a Nuclear Threat from North Korea. "We overcame all kinds of scepticism and speculations about this summit and I believe that this is good for the peace", he said.
Trump's chest-thumping tweets seemed reminiscent of the "Mission Accomplished" banner flown behind President George W. Bush in 2003 when he spoke aboard a Navy ship following the USA invasion of Iraq.
But Trump's triumphalism is not based on concrete commitments by Kim that were established by his own administration's expectations setting before the talks. Already, North Korea has criticized the US and South Korea's military drills, saying they're not helpful for peace talks.
In a separate question, the BBC interviewer noted that Mr Kim is notoriously paranoid about his safety and asked what Singapore had to do to reassure him.
"The U.S. -South Korea joint exercises and U.S. forces in South Korea play significant roles for the security in East Asia", Japanese Defence Minister Itsunori Onodera told reporters Wednesday.
Washington is eager to see if the North's pledges were "sincere", Pompeo said, adding: "The US has been fooled before".
There are usually two sets of exercises every year, in spring and autumn, involving a massive number of troops and military hardware. "All I can say is they want to make a deal".
In August 2017, Pyongyang threatened missile strikes on Guam, the only United States territory easily in reach of North Korean missiles. He said he planned to continue sharing the view with Washington and Seoul. "It was a awful thing, it was brutal, but a lot of people started to focus on what was going on, including North Korea".
But others said it's a great step forward for peace.