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As a result of this error, thousands of flights in December initially did not have pilots assigned to them.

An agreement between the airline and the Allied Pilots Association helped to correct the pilot staffing issue, according to American Airlines spokeswoman Alexis Aran Coello.

American Airlines' pilots have reached an agreement with the carrier to staff every scheduled flight during the upcoming holiday season, avoiding cancellations that were threatened by a computer error. On its website, the APA also stated that nor it or the pilot contracts can guarantee the promised premium pay being offered by the airline. Both the carrier and the pilots' association have not disclosed the details of the settlement.

According to the Allied Pilots Association (APA), the glitch had left more than 15,000 flights without a captain, co-pilot or both between December 17 and December 31 at dozens of airports.

"APA and management have reached an agreement in principle addressing our respective needs, and we have withdrawn our grievance", said the union.

The problem could have forced the airline to cancel as many as 15,000 flights over the holidays.

"That data does not support management's statement regarding December flights that 'only a few hundred are now unassigned to pilots.' In fact, thousands of flights are still listed as unassigned", the APA said in a statement released on Thursday, only hours after American Airlines had issued its own.