* North Korea responded to President Donald Trump's speech in South Korea in which he warned Kim Jong Un not to underestimate the US's resolve.
* North Korea doubled down on its promise to build nuclear weapons, despite international calls for it to stop.
* The US maintains it will not accept a nuclear-armed North Korea.

Pyongyang has responded in its usual fiery fashion to President Donald Trump's speech to South Korea's National Assembly in which Trump warned North Korea not to test the US's resolve.

Trump's speech focused largely on the long history of North Korea's human-rights abuses, though Trump departed from his past rhetoric by offering North Korean leader Kim Jong Un and his people "a path to much better future" if the country abandoned its nuclear ambitions.

But returning to typical form, Trump also brought up the US's victories over ISIS and its nuclear submarines in the region. Trump said misinterpreting the US's restraint for weakness would be a "fatal miscalculation" by North Korea, and he called on the international community to implement the UN's strict sanctions on Pyongyang.

North Korean officials, who spoke with CNN about the speech, were not thrilled. "We don't care about what that mad dog may utter because we've already heard enough," they said.

The officials reaffirmed North Korea's commitment to building nuclear weapons, bringing up the US's "nuclear aircraft carriers and strategic bombers" before promising to "counter those threats by bolstering the power of justice in order to take out the root cause of aggression and war."

North Korean officials have repeatedly said they will not look to negotiate with the US until they complete their country's nuclear weapons program. At the same time, the US remains intent on preventing North Korea from perfecting a nuclear-equipped missile capable of reaching the US mainland.

On Wednesday, Trump arrived in China to talk to President Xi Jinping, the most powerful Chinese leader since Chairman Mao, about North Korea among other things. China, North Korea's main ally and trading partner, has been unusually helpful in the US's recent push to increase sanctions on Pyongyang.

Trump expressed optimism in South Korea about the US's ability to bring North Korea to heel, and he previously said he expected China to pitch in considerably.

Business Insider