11. Petersons mutual exclusion algortihm for two processes is shown in Figure 12.34. (a) Show that it

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11. Peterson’s mutual exclusion algortihm for two processes is shown in Figure 12.34.

(a) Show that it satisfies mutual exclusion, progress, and bounded waiting.

(b) Use this algorithm as a building block to construct a hierarchical mutual exclusion algorithm for an arbitrary number of processes. (Hint: use a logarithmic number of steps in the hierarchy.)

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