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Exercise 2 . 6 . Another way to generalize the two - thread Peterson lock is to arrange a number of two - thread Peterson
Exercise Another way to generalize the twothread Peterson lock is to arrange a number of twothread Peterson locks in a binary tree. Suppose is a power of two. Each thread is assigned a leaf lock which it shares with one other thread. Each lock treats one thread as thread and the other as thread
In the treelock's acquire method, the thread acquires every twothread Peterson lock from that thread's leaf to the root. The treelock's release method for the treelock unlocks each of the twothread Peterson locks that thread has acquired, from the root back to its leaf. At any time, a thread can be delayed for a finite duration. In other words, threads can take naps, or even vacations, but they do not drop dead. For each of the following properties, either sketch a proof that it holds, or describe a possibly infinite execution where it is violated:
mutual exclusion,
freedom from deadlock,
freedom from starvation.
Is there an upper bound on the number of times the treelock can be acquired and released between the time a thread starts acquiring the treelock and when it succeeds?
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