A technique for accessing a shared resource of a computerized system involves running a first portion of a first thread within the computerized system, the first portion (i) requesting a lock on the shared resource and (ii) directing the computerized system to make operations of a second thread visible in a correct order. The technique further involves making operations of the second thread visible in the correct order in response to the first portion of the first thread running within the computerized system, and running a second portion of the first thread within the computerized system to determine whether the first thread has obtained the lock on the shared resource. Such a technique alleviates the need for using a MEMBAR instruction in the second thread.