Answer
See the explanation
Work Step by Step
In a production system, each task A, B, and C can be represented as individual production rules. These rules specify the conditions under which a task can be executed and the actions to be taken once the task is performed.
1. Define the initial state, where none of the tasks are completed.
2. Create production rules for each task, specifying the conditions under which each task can be performed and the resulting state after performing the task.
3. Create transitions between states based on the execution of tasks.
4. Continue until all possible combinations of tasks and states are represented.
Here's how the problem can be framed using a production system:
Initial state: [not A, not B, not C]
Production rules:
- Rule 1: If not A, perform task A. Resulting state: [A, not B, not C]
- Rule 2: If A and not B, perform task B. Resulting state: [A, B, not C]
- Rule 3: If A and B and not C, perform task C. Resulting state: [A, B, C]
State graph:
```
[not A, not B, not C] --> [A, not B, not C] --> [A, B, not C] --> [A, B, C]
| | |
| | |
|________________________|_______________________|
```
