WASHINGTON -- The deal crafted by the U.S. and Russia to halt the Syrian civil war and focus efforts on rooting out extremists is rife with legal and liability questions that are fueling Pentagon skepticism about military cooperation between the two powers, senior U.S. officials said.

The first hurdle is that Congress has enacted a law prohibiting any military cooperation with Moscow in the wake of Russia’s annexation of the Crimea region of Ukraine. That means the deal that Secretary of State John Kerry and Russian Foreign Minister Sergey Lavrov agreed to last week in Geneva first needs a waiver from a skeptical Defense Secretary Ash Carter to be legal.

Another nagging question revolves around whether America could be held responsible if a Russian airstrike - approved by the U.S. as part of the military cooperation at the heart of the deal - kills civilians. Military and defense leaders question whether Russia will be able to force the Syrian government to uphold the cease-fire. And they worry that Moscow’s lack of precision targeting could result in civilian casualties, even if Russia is attempting to strike Islamic State militants.

“We conduct military operations with our allies and partners, and Russia is neither,” said Evelyn Farkas, former U.S. deputy assistant defense secretary who is now a senior fellow at the Atlantic Council in Washington. “So, it makes this very fraught with all kinds of risk for us - military and political.”

CBS News correspondent Elizabeth Palmer reports that, for the time being, the cease-fire does appear to be staunching the flow of blood on the ground. A paramedic in rebel-held Aleppo said Tuesday that, while they had been changing “blood-stained sheets 1,000 times a day... today, we’ve only seen patients with the flu.”

Get Breaking News Delivered to Your Inbox

As Palmer notes, if the cease-fire holds for seven days, the U.S. and Russia are to start coordinating airstrikes against jihadist groups, including the Islamic State of Iraq and Syria (ISIS​).

But in the incredibly complex war, Palmer says one man’s rebel is another’s freedom fighter, and Russia and the U.S. have not seen eye-to-eye on which opposition groups are legitimate targets, so there is plenty of scope yet for the deal to come unstuck.

Neither U.S. nor Russian officials have released the plan, so details are sketchy. But senior U.S. officials said military and intelligence officials and other segments of the administration have serious doubts that Russia will be able to live up to its commitments in the deal, despite Moscow’s long-held desire for military cooperation with the U.S.

If it does happen, however, U.S. officials said the cooperation would be a sharply limited and carefully controlled exchange of very basic targeting information that would protect U.S. intelligence gathering and tactics, and involve detailed vetting to ensure that any proposed Russian strikes would hit ISIS or al Qaeda-linked combatants, not the rebels fighting Syrian President Bashar Assad.

Several U.S. officials spoke about the deal on condition of anonymity because they were not authorized to publicly discuss it.

The cease-fire took effect at sunset Monday, with sporadic small violations. It calls for a halt in hostilities between Assad’s government forces and rebel groups, and it paves the way for the delivery of humanitarian relief.

That aid has started trickling into some of the hardest-hit areas, but Palmer says in Aleppo -- once the most populous city in Syria, now much of it reduced to rubble -- the besieged residents in rebel-held territory still haven’t received any help.

The United Nations has prepared large convoys of aid, but Palmer says the trucks haven’t been able to roll out because the U.N. is still negotiating safe passage for them -- not only with the Syrian government, but also with the Syrian army and a bewildering array of armed rebel groups whose checkpoints lie between the aid and the people who so desperately need it.

It allows Syrian government strikes against al Qaeda-linked militants who fight alongside the rebels. And the U.S.-led coalition can continue attacks on ISIS​. The Syrian army has said it would abide by the cease-fire, but will defend against any violations.

If the cease-fire holds for seven days and humanitarian deliveries continue, the U.S. would begin discussions with Russia on the establishment of a joint implementation cell. If the cease-fire is violated, the seven-day time period resets, State Department spokesman Mark Toner said.

U.S. officials said the cooperation won’t begin immediately after the seven days. They said it could be shut down quickly if humanitarian aid stops getting through or if the Syrian government violates the cease-fire.

The Pentagon’s top leaders insisted on the seven-day waiting period, largely due to deep skepticism about Russia.

Toner said he had no estimate on how long it would take to set up the coordination center, but said discussions have been going on for several months, so he didn’t believe it would “be a matter of weeks.”

Officials declined to talk about where the center would be and how it would actually work. And many suggested it was too early to discuss the details of something that may never happen.

But a senior U.S. official said American intelligence officials have been studying the issue for some time to determine what information could be given to the Russians and how it could be done carefully.

Russia is not part of the U.S.-led coalition targeting ISIS militants in Iraq and Syria, and the U.S. doesn’t have a history of sharing information with Moscow.

U.S. officials expressed concerns that Moscow might continue to target U.S.-allied opposition forces, claiming they are working with the al Qaeda-linked group Jabhat Fatah al-Sham, previously known as the Nusra Front. Rebel forces have intermingled with the Nusra militants, at times making targeting difficult.

They also worry that many of the Russian airstrikes do not involve precision-guided weapons. Moscow has predominantly used so-called dumb bombs in Syria, largely targeting opposition forces and backing Assad’s government forces.

Two senior administration officials, however, said the U.S. will bear no responsibility for any strikes made by Russia or deaths that result. And neither country will be able to veto strikes the other wants to conduct.

The strikes have triggered frequent complaints of mass civilian casualties. And the U.S. faces the possibility of agreeing on a particular target, then having the Russian strike miss and kill civilians.

The U.S. officer in charge of Air Force operations in the Middle East, Lt. Gen. Jeffrey Harrigian, told reporters Tuesday that the intent is to develop a plan that “executes the mission precisely, minimizing risk to the coalition team and civilians on the ground.” He added that it would be important to do it in a way that does not undermine “coalition cohesion” and momentum.

The U.S., he said, will not share any classified tactics with Russia.

“Clearly there will be some authorities and legalities that we’re going to need to work through to make sure everybody understands what the agreement is,” he said when asked whether the U.S. could be considered a co-belligerent in the event that it provides targeting information for a Russian airstrike that results in civilian casualties.

“I’m not going to tell you I trust them,” said Harrigian. “We, from our side, have to do some planning and they need to do the right thing. We’ll see what happens from there.”