Question

Consider the following program p, what is its answer set?

win(x) :- move(x, y), not win(y).
move(a, b).
move(b, c).
A) {win(a), win(b), win(c)}
B) {move(a, b), move(b, c)}
C) {win(a), win(b)}

Answer 1

The answer set for the given program is A) {win(a), win(b), win(c)}.

Step-by-step explanation:

In the given program p, the answer set is A) {win(a), win(b), win(c)}.

1. The program p consists of three rules:
2. win(x) :- move(x, y), not win(y) - This rule states that x wins if there is a move from x to y and y does not win.
3. move(a, b)
4. move(b, c)
5. Using these rules, we can determine that:
6. Since a moves to b, and b does not win, a wins.
7. Since b moves to c, and c does not win, b wins.
8. Since c moves to a, and a does not win, c wins.
9. Therefore, the answer set is A) {win(a), win(b), win(c)}.