A major challenge in hardware verification is managing the state explosion problem in pre-silicon verification. This is seen in the high cost and low coverage of simulation, and capacity limitations of formal verification. Runtime verification, through on-the-fly property checking of the current trace and a low-cost error recovery mechanism, provides us an alternative attack in dealing with this problem. There are several interesting examples of runtime verification that have been proposed in recent years in the computer architecture community. These have also been motivated by the resiliency needs of future technology generations in the face of dynamic errors due to device failures. I will first highlight the key ideas in hardware runtime verification through specific examples from the uni-processor and multi-processor contexts. Next, I will discuss the challenges in implementing some of these solutions. Finally I will discuss how the strengths of runtime verification and model checking can be used in a complementary fashion for hardware.