There is speculation that Trump sent the tweet about an imaginary success to divert attention from two mass shootings that have rocked the U.S.in the last few days, one of which was expressly inspired by Trump's anti-immigrant rhetoric.
The so-called Alliance 19-2 exercises were instituted after Trump unilaterally agreed to Kim's request previous year to suspend larger, live-fire Ulchi Freedom Guardian drills that North Korea long denounced as an effort to prepare for an invasion.
Its four rounds of weapons demonstrations in two weeks come during a stalemate in nuclear negotiations and after President Donald Trump repeatedly dismissed the significance of the tests, even though the weapons show North Korea's ability to strike at US allies South Korea and Japan and its military bases there.
Kim has said in public speeches science and industry are areas key to North Korea's economic development.
The two leaders agreed to revive them during their impromptu meeting at the demilitarised zone between the two Koreas in June.
South Korea's foreign ministry said official talks about the shared military costs have yet to start.
He said politically it would be tough for President Moon because he would not be able to get get the National Assembly to pay extra for increased burden-sharing and would come from a reduction in other things already planned.
"The recent situation in which surveillance equipment has been installed in many parts of China also makes it hard for the movement of North Korean defectors", an official of a North Korea defectors' group in South Korea, who asked not to be identified because of his safety, told RFA.
Trump's remarks come ahead of U.S. Secretary of Defense Mark Esper's first official visit to Seoul as part of a tour through Asia this month.
US Secretary of State Mike Pompeo on Wednesday downplayed North Korea's latest missile launches, saying they won't alter the prospects for negotiations on Pyongyang's nuclear weapons.
It was the latest in the series of macho military moves from the nation.
The defectors fleeing the brutal rule of Kim Jong Un have been held in detention facilities in the northeastern Chinese province of Liaoning bordering North Korea, according to a South Korean missionary, speaking on condition of anonymity due to security concerns. Also, there is far too much to lose, ' he added.
US media reported that neither the South Korean Embassy in Washington nor the Seoul presidency responded to requests for comments or confirmed the USA president's tweets.
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