The critical section problem refers to ensuring that at most one process can execute its critical section, a code segment that accesses shared resources, at any given time. There are three requirements for a correct solution: mutual exclusion, meaning no two processes can be in their critical section simultaneously; progress, ensuring a process can enter its critical section if it wants; and bounded waiting, placing a limit on how long a process may wait to enter the critical section. Early attempts to solve this using flags or a turn variable were incorrect as they did not guarantee all three requirements.
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