While Trump and Kim concluded their summit in Singapore by signing a joint statement that promised "complete denuclearization of the Korean Peninsula", it did not specify what that process would entail.
"Before taking office people were assuming that we were going to War with North Korea", Trump said in another tweet.
US forces in South Korea said they "received no updated guidance on the execution or cessation of training exercises". "No longer - sleep well tonight!" the President wrote.
The U.S. needs to formulate a concrete, step-by-step roadmap to achieve denuclearization in Korea, Einhorn said.
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.
But there was no mentioning the previous US aim of "complete, verifiable and irreversible denuclearization".
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After the whirlwind trip, Trump eagerly boasted, "There is no longer a Nuclear Threat from North Korea".
Kim Kyong Sun, who watched the news on a large screen outside Pyongyang's main train station, said she felt a "radical change" was underway in her country's relationship with the United States, which she said has been a hostile nation.
While Trump has said his "maximum pressure" campaign is what led to the summit, KCNA suggested that Trump credited Kim for the detente.
Trump, seemingly unprompted, has long wanted to withdraw the US from South Korea, and now he may have found a reason. That's a long time for these big massive planes to be flying to South Korea to practice and then drop bombs all over the place and then go back to Guam. He told reporters on tarmac upon landing that it had been a "great three days". "Plus, I think it's very provocative".
Trump and Kim in Singapore on Tuesday. Trump's total sidelining of North Korea's infamous human rights abuses has also caused concern. The next scheduled major exercise, involving tens of thousands of troops, normally is held in August.
In August 2017, Pyongyang threatened missile strikes on Guam, the only U.S. territory easily in reach of North Korean missiles.
There were worries, especially in Tokyo and Seoul, which have huge US military presences, about Trump agreeing to halt USA military exercises with South Korea, which the North has long claimed were invasion preparations.
KCNA also asserted Trump had "expressed his intention" to lift sanctions against the North something the U.S. president had told a blockbuster press conference would happen "when we are sure that the nukes are no longer a factor".
Some analysts are likely to see the comments as part of a worrying trend since North Korea showed no public sign at the summit or since that it is now willing to implement the complete, irreversible and verifiable destruction of its nuclear programs.
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