Michal Waleszczuk defines fault tolerance as a system's ability to continue operating properly despite failures in components. The document discusses fault tolerance techniques including checkpointing/rollback recovery. Checkpointing saves application states that can be used for recovery after failures. DMTCP is a library that provides transparent checkpointing of Linux applications. Waleszczuk's study tests DMTCP checkpointing on a matrix multiplication application, finding that multiple checkpoints increase restoration time but decrease runtime overhead compared to no checkpoints.