SINGAPORE — President Trump said Tuesday North Korea has agreed to relinquish its nuclear weapons and is already “much further along” in changing their behavior, and is prepared to rewrite history to push for a lasting peace and complete denuclearization of the Korean Peninsula.

“We’re prepared to start a new history, and we’re ready to write a new chapter between our nations,” Trump said in a solo press conference after North Korean leader Kim Jong Un left Singapore. “There is no limit to what North Korea can achieve when it gives up its nuclear weapons and embraces commerce — an engagement with the rest of the world.”