1. A computer processor comprising: execution logic that performs operations that utilize pointers stored in a memory system operably coupled to the computer processor; wherein each pointer is associated with a predefined number of event bits; and wherein the execution logic is configured to process the event bits of a given pointer in conjunction with the processing of a predefined memory-related operation that involves the given pointer in order to selectively output an event-of-interest signal that provides an indication that an event-of-interest has occurred.