Trump's pledge to end joint exercises with South Korea without explicit concessions from North Korea to lower the military threat posed by Pyongyang took South Korean and U.S. military officials by surprise.
-North Korea relationship based on "peace and prosperity" and reaffirms Kim's commitment to the eventual denuclearization of the Korean Peninsula.
The first meeting of a sitting USA president and a North Korean leader was the product of dizzying weeks of negotiations over logistics and policy.
"Just landed - a long trip, but everybody can now feel much safer than the day I took office", he wrote in the first of three tweets about the summit.
Sherman, a special advisor to former President Bill Clinton and policy coordinator on North Korea said the two leaders were acting more in the interests of their leadership standing than efforts to denuclearise North Korea.
North Korea still has nuclear weapons.
As Mr Trump acknowledged that denuclearisation would not be accomplished overnight, the North suggested that Mr Trump had moved away from his demand for complete denuclearisation before U.S. sanctions on the long-isolated country are removed.
North Korea in May cancelled talks with Seoul over "Max Thunder" joint military air exercises between the U.S. and the South. But he added "our hostages" are back home and testing, research and launches have stopped.
News of the summit itself had not yet been reported in the North as of late Tuesday night.
United States officials had worked hard to get North Korea to agree to "complete, verifiable and irreversible" disarmament, and said they would not offer any major concessions until it took meaningful steps.
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Viping Narang, associate professor of political science at MIT and an expert on nuclear proliferation, said North Korea has committed to denuclearization for 25 years, citing the 1993 deal with the U.S. "No longer - sleep well tonight!"
In his post-summit media conference, Trump made the surprise announcement that the United States would halt joint military exercises with its security ally Seoul - something long sought by Pyongyang, which claims the drills are a rehearsal for invasion. -South Korea military exercises.
The Singapore summit set out broad goals to be met in the coming months while the Iran deal, signed by President Barack Obama in 2015 and approved by seven nations, was an imperfect end to 18 months of negotiations, they say. It has not given the U.S. any information about them.
The US president said he had, and repeated his description of Mr Kim as "talented".
Trump announced Tuesday at a news conference in Singapore that he and Kim had reached an agreement on North Korea's denuclearization, although the text of that agreement was light on details, including a timeline for that process and how verification would work.
The move - long demanded by Pyongyang - has been seen as a major concession to North Korea and appeared to take USA allies in the region by surprise.
Pompeo, after landing in South Korea, met for almost an hour with Gen. Vincent Brooks, commander of U.S. Forces Korea. And Secretary of State Mike Pompeo sought to keep expectations for the summit in check.
Japan's Prime Minister Shinzo Abe spoke to Donald Trump after the summit, saying there was "great meaning in Chairman Kim's clearly confirming to President Trump the complete denuclearisation". Pompeo was slated to fly on to Beijing later Thursday.
In Japan, the prospect of cancelled US-South Korean drills was met with concern.
However, many South Koreans rushed to express their awe of Tuesday's events. If U.S. troops in South Korea were to really halt military exercises, he says, it could cause allies to lose confidence in Washington and undermine the entire U.S. military presence in Asia.