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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 the critical section.

a. Provide a counterexample demonstrating early access to the critical section.
b. Explain the conditions under which early access is possible.
c. Discuss potential drawbacks of early access in the algorithm.
d. Propose modifications to prevent early access.

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Final answer:

Under Lamport's mutual exclusion algorithm, a process may have early access to the critical section. This can lead to potential drawbacks such as inconsistent data or incorrect outcomes. Modifications can be made to prevent early access.

Step-by-step explanation:

Under Lamport's mutual exclusion algorithm, a process may not have to wait until its request reaches other processes to access the critical section. This can be illustrated with an example:

  1. Process A sends a request for access to the critical section.
  2. Process B receives the request and sends an acknowledgement to Process A.
  3. Before Process A receives the acknowledgement from Process B, Process B encounters a condition that prevents it from entering the critical section.
  4. Process A can now access the critical section, even though it hasn't received acknowledgement from Process B.

This example demonstrates early access to the critical section, where Process A doesn't have to wait until its request reaches other processes to access the critical section.

The conditions under which early access is possible are when a process receives an acknowledgement from a requesting process, but encounters a condition (such as a resource conflict or deadlock) that prevents it from entering the critical section.

Potential drawbacks of early access in the algorithm include the possibility of inconsistent data or incorrect outcomes if processes access the critical section without proper synchronization. Early access can lead to race conditions and incorrect program behavior, which can be difficult to debug and fix.

To prevent early access, modifications can be made to ensure that a process waits until it receives acknowledgements from all other processes before entering the critical section. This can be achieved by introducing additional synchronization steps or conditions in the algorithm to enforce strict mutual exclusion.

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