multiple pipelines including at least a first current and a second remote pipeline and a first requestor and a second requestor which are copied directly into their respective pipelines,

a coupling for a copy of a request from each requestor for sending said request to the opposite pipe, where it is staged into a register,

said SMP computer system having cross-interrogation arbitration logic using information from said current pipeline's operation and said remote pipeline's operation to determine if there is a resource conflict with a common shared resource,

said cross-interrogation arbitration logic arbitrating for priority within a pipeline of the multiple pipelines;

determining if said common shared resource of the SMP computer system is needed by a pipeline operation; and rejecting the said pipeline operation if there is a conflict within the pipeline with the said common shared resource of the computer system.