Some claims in Thursday's GOP debate and how they compare with the facts:
Shrunken military
Texas Sen. Ted Cruz: Obama has "dramatically degraded our military."
Florida Sen. Marco Rubio: "You cannot destroy [ISIL] with a military that's being diminished."
The facts: The charge that President Obama has starved the Pentagon has become a refrain in the GOP campaign, but amounts spent on weapons modernization are about the same as they were when Republican George W. Bush was president.
Any military cuts GOP contenders are complaining about were approved by both Republicans and Democrats in Congress. The military budget is being squeezed by the insistence of lawmakers in both parties that money be spent on bases and equipment that the Pentagon says it doesn't need.
Aid to the Kurds
Cruz: "[Obama's] not arming the Kurds."
The facts: He is. The U.S. has allocated a substantial amount of weapons and other military equipment to help the Kurds fight the Islamic State in Iraq and the Levant group, and is sending the aid.
The shipments have not been direct. Rather, under a deal with the Iraqi government, all U.S. weapons are delivered to Iraqi officials. They divide them between Iraqi and Kurdish forces. The Kurds have complained that the assistance is not enough.