North Korea leader Kim Jong Un and U.S. President Donald Trump prepare to sign a document at the Capella resort on Sentosa Island Tuesday, June 12, 2018 in Singapore. (AP Photo/Evan Vucci)

SINGAPORE (AP) - President Donald Trump[1] and North Korea[2]’s Kim Jong Un[3] concluded an extraordinary nuclear summit Tuesday with the U.S. president pledging unspecified “security guarantees” to the North and Kim[4] recommitting to the “complete denuclearization of the Korean Peninsula.” They coupled the summit agreement with lofty promises by Trump[5] to handle “a very dangerous problem” and Kim[6]’s prediction for “major change.”

Meeting with staged ceremony on a Singapore island, Trump[7] and Kim[8] came together for a summit that seemed unthinkable months ago, clasping hands in front of a row of alternating U.S. and North Korean flags, holding a one-on-one meeting, additional talks with advisers and a working lunch.

Both leaders expressed optimism throughout roughly five hours of talks.

Light on specifics, the document signed by the leaders largely amounted to an agreement to continue discussions as it echoed previous public statements and past commitments. It did not include an agreement to take steps toward ending the technical state of warfare between the U.S. and North Korea[9].

The pair promised in the document to “build a lasting and stable peace regime” on the Korean Peninsula and to repatriate remains of prisoners of war and those missing in action during the Korean War.

Language on North Korea[10]’s bombs was similar to what the leaders of North and South Korea came up with at their own summit in April. At the time, the Koreans faced criticism for essentially kicking the issue of North Korea[11]’s nuclear arsenal down the road to Tuesday’s Trump[12]-Kim[13] summit. Trump[14] and Kim[15] even directly referenced the so-called Panmunjom Declaration, which contained a weak commitment to denuclearization and no specifics on how to achieve it.

The formal document signing followed a series of meetings at a luxury Singapore resort.

After the signing, Trump[16] said he expected to “meet many times” in the future with Kim[17] and, in response to questions, said he “absolutely” would invite Kim[18] to the White House. For his part, Kim[19] hailed the “historic meeting” and said they “decided to leave the past behind.”

In a moment that would never happen in North Korea[20], reporters began yelling questions to Trump[21] and Kim[22] after they signed the document, including whether they had discussed the case of Otto Warmbier, the American college student who suffered brain damage while in North Korean custody and died in June 2017, days after he was returned home to Ohio....

In the run-up to the meeting, Trump[23] had predicted the two men might strike a nuclear deal or forge a formal end to

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