(Repeats story first carried on Thursday)

By Josh Smith

SEOUL, May 19 (Reuters) - At the top of South Korean President Yoon Suk-yeol’s agenda for his first summit with U.S. President Joe Biden this weekend will be strengthening American “extended deterrence” against North Korea, according to Yoon's security advisers.

The term means the ability of the U.S. military, particularly its nuclear forces, to deter attacks on U.S. allies.

The issue came to the forefront during the campaign that led to Yoon's election in March, driven by concerns over North Korea's increasing missile and nuclear capabilities.

Here's what Yoon's team wants from Biden, and why extended deterrence has become a dominant security issue for Seoul:

WHY SOUTH KOREA'S FAITH IS SHAKEN

In 1958, the United States deployed tactical nuclear weapons to the peninsula. It pulled them out in 1991, but has continued to extend its "nuclear umbrella" to South Korea by vowing to use all of America's capabilities to defend against an attack.

That promise is aimed not only at protecting South Korea, but at making it unattractive for Seoul to pursue its own nuclear weapons to counter the North.

The United States also stations more than 28,500 troops in South Korea, along with tanks, helicopters, anti-missile batteries, and other conventional weapons.

Yoon's concern comes after faith in the U.S. commitment to defend South Korea was shaken under former U.S. President Donald Trump, who demanded Seoul pay billions more to support U.S. troops. That led to stalled negotiations that were only resolved under Biden.

Trump also repeatedly proposed withdrawing U.S. troops from South Korea, former Secretary of Defense Mark Esper said in a memoir released last week.

The American withdrawal from Afghanistan and debate over its support for Ukraine have also sparked discussions on the need for South Korea to boost its own capabilities, including whether it should pursue its own nuclear programme.

WHAT SOUTH KOREA PROPOSES

During the campaign, Yoon suggested the U.S. could redeploy its tactical nuclear weapons to Korea, but later backtracked.

His team has since asked Biden to permanently deploy U.S. “strategic assets” such as submarines, aircraft carriers, and bombers to the Korean peninsula.

Yoon says he would "normalise" the joint military drills with the United States that were scaled back under outgoing President Moon Jae-in, in a bid to placate Pyongyang and resume stalled talks to rid the peninsula of nuclear weapons.

Yoon has also reactivated an “Extended Deterrence Strategy and Consultation Group” with the United State that hadn’t met for years.