Given a system of 4 processes with a set of constraints described by the following precedence relation: →: ((P1, P3), (P1, P4), (P2, P4)) The processes access memory locations according to the following table: Process ID P1 P2 P3 P4 Domain (D) M1, M2 M3 M1, M4, M5 M4 Range (R) M4 M2 M5, M6 M3 Answer the following questions about the system (you do not need to draw any graphs): 1. Is the system determinate for all interpretations of its processes? Explain why. 2. Is the process pair (P3, P4) mutually non-interfering? Explain why. 3. What modifications are needed to guarantee the system to be determinate for all interpretations?
Introduction
Precedence Relation:
Precedence relations are constraints that specify the order in which a set of tasks or processes must be executed. These constraints specify which task must be completed before another task can be started. Precedence relations are commonly used in project management, scheduling, and computer science to model dependencies between tasks or processes.
In the context of computer science, precedence relations can be represented using directed acyclic graphs (DAGs), where each node represents a task or process, and edges between nodes represent the precedence relation between them. The direction of the edges indicates the order in which the tasks must be executed.
Precedence relations are important because they help to ensure that tasks are executed correctly and efficiently. By specifying the order in which tasks must be completed, precedence relations can help to avoid race conditions, deadlocks, and other errors that can occur when multiple tasks or processes are executed concurrently.
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