The document discusses various approaches for debugging distributed systems, including offline and online methods. Offline methods discussed are logging using libraries like liblog, pervasive debuggers, time travel using virtual machines, and model checking using tools like MaceMC. Online methods discussed are D3S and CrystalBall. The document provides details on how several of these approaches work, including liblog which intercepts system calls to log data, time-travel virtual machines which take checkpoints to replay execution, and how model checkers represent distributed systems as state machines to check properties.