The withdrawal of US troops depends on the success of Iraqi security forces to replace them.
If US troops are going to leave, Iraqi forces would need to replace them.
Bagram, near the Afghan capital Kabul, is the largest military base for US troops in Afghanistan.
Yesterday, a Democrat who once supported the war, called for US troops to be withdrawn.
Iraqi Deputy Prime Minister Hussain al-Shahristani said Iraqis were glad the US troops were leaving.
The report says US troops should be withdrawn from combat and instead used to train Iraqis.
The reinforcements will take the total number of US troops in Afghanistan to more than 100, 000.
About 4, 340 US troops have been killed in Iraq since the 2003 US-led invasion.
Some 68, 000 US troops currently make up the majority of the 100, 000-strong coalition force.
He then oversaw a surge in US troops in Afghanistan in battling the Taliban.
Government spokesman Ali al-Dabbagh told Reuters news agency US troops would withdraw over three years.
As of December, Nato forces in Afghanistan numbered 102, 000, including 68, 000 US troops.
Most of the 66, 000 US troops in Afghanistan are due to leave in 2014.
It was the first local council vote held since the departure of US troops in late 2011.
That means more US troops but almost certainly also calls for more European Nato troops as well.
The fact that Obama lacked congressional sanction for committing US troops to battle was also largely ignored.
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Increasingly, the debate about Iraq has focused on exactly how and when to bring the US troops home.
There were no reports of any of the US troops manning the checkpoints being hurt in the blast.
In the immediate aftermath of the Soviet Union's demise, we reduced the numbers of US troops deployed forward.
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He said he had thought "long and hard about her position" calling for US troops to be sent home.
Yesterday at a press conference, Democratic Congressman John Murtha of Pennsylvania called for the immediate withdrawal of US troops.
Two US troops have been arrested over the alleged rape of a Japanese woman on the island of Okinawa.
Once an informer for the CIA, Noriega was arrested by US troops after their invasion of Panama in 1989.
Mr Obama also said he would reduce by more than half the number of US troops in Afghanistan over the next year.
On Tuesday, the White House said it was possible that no US troops would remain in Afghanistan beyond 2014.
There are some 51, 000 US troops stationed in Japan, nearly half of which are posted on the island of Okinawa.
Last month, five US troops were killed when a helicopter crashed during a rainstorm in the southern province of Kandahar.
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He then oversaw a surge of US troops to Afghanistan before handing over to Gen John Allen in July 2011.
There has not been any official announcement from the White House as to how many US troops will remain in Afghanistan.
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The explosion on 25 June 1996 killed 19 US airmen and injured about 250 other people, most of them other US troops.
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