In a vaguely worded agreement signed at their unprecedented summit Tuesday in Singapore, U.S. President Donald Trump and North Korean leader Kim Jong Un inked what Trump said was a "comprehensive document" declaring that Kim's regime would "work towards the complete denuclearization of the Korean Peninsula" while committing to a "lasting and stable peace."

In exchange, Trump committed to provide "security guarantees" to Kim — including a halt to joint military exercises — as the two nations agreed to establish new relations "in accordance with the desire of the peoples of the two countries for peace and prosperity."

Keeping a vow to Prime Minister Shinzo Abe, the U.S. president also said he had discussed with Kim the issue of abductions of Japanese nationals by North Korean agents in the 1970s and 1980s.