US President Donald Trump and North Korean leader Kim Jong Un committed during their historic meeting in Singapore on Tuesday to the denuclearization of the Korean Peninsula. In a joint statement concluding the first ever talks between a sitting US president and North Korean leader, the two sides said “the establishment of new US-DPRK relations will contribute to the peace and prosperity of the Korean Peninsula and of the world” Trump committed to provide security guarantees to the Democratic Peoples Republic of Korea, Kim for his part, reaffirmed his firm and unwavering commitment to complete denuclearization of the Korean Peninsula. The two leaders conducted a “comprehensive, in-depth, and sincere exchange of opinions” on the issues related to the establishment of new US-DPRK relations and the building of a “lasting and robust peace regime” on the peninsula. “The US and DPRK commit to establish new US-DPRK relations in accordance with the desire of the peoples of the two countries for peace and prosperity,” said the joint statement. “Reaffirming the April 27, 2018 Panmunjom Declaration, the DPRK commits to work towards complete denuclearization of the Korean Peninsula.” The statement, however, did not give any details on how denuclearization would be achieved. It also made no mention of the international sanctions that have crippled North Koreas economy, for pursuing its nuclear weapons program. Nor was there any reference to finally signing a peace treaty. The combatants of the 1950-53 Korean War are technically still at war, as the conflict, in which millions of people died, was concluded only with a truce. The joint statement did say the two sides had agreed to recovering the remains of prisoners of war and those missing in action and repatriating them. “Having acknowledged that the US-DPRK summit -- the first in history -- was an epochal event of great significance and overcoming decades of tensions and hostilities between the two countries and for the opening of a new future, Trump and Kim commit to implement the stipulations in this joint statement fully and expeditiously,” continued the statement. The two sides agreed to hold follow-on negotiations led by US Secretary of State Mike Pompeo and a relevant senior North Korean official, at the earliest possible date, to implement the outcomes of the Singapore summit. Prior to the announcement of the agreement, Trump said he expected the denuclearization process to start "very, very quickly". Before signing the document with Trump, Kim said the two leaders had a historic meeting “and decided to leave the past behind. The world will see a major change.” Trump said he had formed a "very special bond" with Kim and that relationship with North Korea would be very different. "People are going to be very impressed and people are going to be very happy and we are going to take care of a very dangerous problem for the world," Trump said. Asked whether he would invite Kim to the White House, Trump said: "Absolutely, I will." He called Kim "very smart" and a "very worthy, very hard negotiator. I learned hes a very talented man. I also learned that he loves his country very much." During a post-lunch stroll through the gardens of the Singapore hotel where the summit was held, Trump said the meeting had gone "better than anybody could have expected". Kim stood silently alongside, but the North Korean leader had earlier described their summit as "a good prelude to peace". Kim departed Singapore soon after signing the document with Trump.