Trump, however, reiterated his longstanding desire to lower the USA military footprint in South Korean, which has been a mainstay of the nation's defense posture for decades.
Mr. Trump had previously praised Kim as very "talented".
"Trump committed to provide security guarantees to the DPRK, and Chairman Kim Jong Un reaffirmed his firm and unwavering commitment to complete denuclearization of the Korean Peninsula", the document states. "And the issue is now, where do we go from here - whether we can maintain momentum from the summit and start putting flesh on those bones".
To China, the agreement sounded like one it had been pushing all along, a "suspension for suspension", in which the USA stops military drills with South Korea in exchange for North Korea halting its missile and nuclear tests.
U.S. Secretary of State Mike Pompeo signalled on June 11 that the Trump administration didn't expect an immediate breakthrough at the Trump-Kim meeting, but rather hoped it would create an opening for more extended negotiations.
"That's a great example of hyperbole", he added.
His team analysed a hypothetical USA attack on China using 7,000 weapons, 1,000 or 100.More news: Kim Jong-un's Night Out in Singapore: A Selfie and a Skyline
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"Yeah, he's de-nuking, I mean he's de-nuking the whole place". It's hard to discern yet if anything concrete occurred.
"I mean knowing what the main goal of what we were doing is - de-nuking - but discussed it in pretty good length".
Former businessman Trump said as he met Kim for the first time: "I feel really great. The real negotiations have yet to unfold", Republican Senator John Cornyn told VOA.
"We will be stopping the war games which will save us a tremendous amount of money", Mr Trump told reporters, adding that "at some point" he wanted to withdraw United States troops from the South. -South Korea military exercises, handing North Korea a win on one of its longtime policy goals.
Trump assailed media skeptics of his agreement with Kim.
Trump's rush to claim credit for the supposed disappearance of the North Korean nuclear threat may also give nations like China and Russian Federation an incentive to ease stringent implementation of the "maximum pressure" sanctions that helped bring Pyongyang to the table.
Kim, according to North Korean media, said "to achieve peace and stability of the Korean Peninsula and realize its denuclearization", North Korea and the U.S. "should commit themselves to refraining from antagonizing with each other".
When Baier pointed out some of the unsavory things Jong Un is accused of doing in North Korea, Trump demurred.
White House officials have repeatedly stressed that this week's meeting in Singapore is the beginning, not the end, of a process that Trump's team argues could have only been jump-started with the face-to-face meeting.