1. A computer program product for facilitating processing within a computing environment, said computer program product comprising: a computer readable storage medium readable by a processing circuit and storing instructions for execution by the processing circuit for performing a method comprising: tracking, by a processor of the computing environment, a number of times a transaction executing within the processor aborts, the tracking employing a counter within the processor to track the number of aborts; determining whether the transaction has successfully completed, and based on the transaction successfully completing, automatically resetting the counter to a selected value; and based on the transaction aborting, automatically setting the counter to a predefined value based on one of the following: reaching by the counter a threshold number of aborts for the transaction causing an interrupt to be presented for the transaction; or determining the abort of the transaction is due to an interruption.