Question
Prove that the CompositeFastPathLock implementationguarantees mutual exclusion, but is not starvation-free.
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(a) Prove or disprove the following statement: Lamport's mutual exclusion algorithm will work correctly even if channels are not FIFO. (b) Illustrate with an example that under Lamport's mutual exclusion algorithm, a process may not have to wait until its request reaches other processes to access critical section. (c) Prove that under Ricart Agrawala's mutual exclusion algorithm, request for accessing critical section will be satisfied in ascending order of the timestamps of the requests of the processes. (d) Prove or disprove the following statement: Ricart-Agrawla's mutual exclusion algorithm allows a process to access critical section more than once while other processes are waiting to access critical section. (e) Prove or disprove the following statement: Under Suzuki-Kasami's algorithm, a process may enter critical section more than once while other processes are waiting to access critical section (i.e., other processes have pending requests).
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