We consider asynchronous multiprocessors where processes communicate only by reading or writing shared memory. We show how to implement consensus, all comparison primitives (such as CAS and TAS), and load-linked/store-conditional using only a constant number of remote memory references (RMRs), in both the cache-coherent and the distributed-shared-memory models of such multiprocessors. Our implementations are blocking, rather than wait-free:​ they ensure progress provided all processes that invoke the implemented primitive are live.

Our results imply that any algorithm using read and write operations, comparison primitives and load-linked/store-conditional, can be simulated by an algorithm that uses read and write operations only, with at most a constant-factor increase in RMR complexity.