This 36-page report focuses on two important appeals in the House of Lords this month that will test the reliability of no-torture promises from the governments of Algeria and Jordan. In the pending appeals, Britain’s highest court will grapple for the first time with the government’s “deportation with assurances” policy, an important component of its counterterrorism strategy. In RB and U v. Secretary of State for the Home Department, to be heard on October 22 and 23, 2008, the potential deportees are two Algerians. Assurances from the Algerian authorities that the person would not be tortured if returned to Algeria were negotiated in each case.