Show how to use semaphores to construct a scheduler-based n-thread barrier. Prove that monitors and semaphores are equally powerful. That is, use each to implement the other. In the monitor-based...

Show how to use semaphores to construct a scheduler-based n-thread barrier. Prove that monitors and semaphores are equally powerful. That is, use each to implement the other. In the monitor-based implementation of semaphores, what is your monitor invariant? Show how to use binary semaphores to implement general semaphores.