Answer
See the explanation
Work Step by Step
In a production system, you can represent this problem using states, operators, and goals.
States:
- State 1: Both buckets are empty.
- State 2: The 3-liter bucket has 3 liters of water, and the 5-liter bucket is empty.
- State 3: The 3-liter bucket has 1 liter of water, and the 5-liter bucket has 4 liters of water.
- State 4: The 3-liter bucket is empty, and the 5-liter bucket has 4 liters of water.
- State 5: The 3-liter bucket has 2 liters of water, and the 5-liter bucket is empty.
- State 6: The 3-liter bucket has 2 liters of water, and the 5-liter bucket has 3 liters of water.
- State 7: The 3-liter bucket has 0.5 liters of water, and the 5-liter bucket has 4.5 liters of water.
- State 8: The 3-liter bucket is empty, and the 5-liter bucket has 3 liters of water.
Operators:
1. Fill the 3-liter bucket.
2. Fill the 5-liter bucket.
3. Empty the 3-liter bucket.
4. Empty the 5-liter bucket.
5. Pour water from the 3-liter bucket to the 5-liter bucket.
6. Pour water from the 5-liter bucket to the 3-liter bucket.
Goal:
Achieve State 3, where the 3-liter bucket has 1 liter of water, and the 5-liter bucket has 4 liters of water.
Using these states, operators, and goal, you can create a production system to solve the problem of placing exactly four liters of water in the five-liter bucket.
