Correct Answer.

AG(p
AF(p
r)) being true at s0 means that at any state t reachable from
s0 (the "AG"), where p is true (the "p
..."), the formula AF(p
r) has
to be true at state t.
- All four states of the model are reachable from s0.
- But p is true only at s1 and s3.
- Therefore, we only have to check AF(p
r) at the states s1 and s3.
- All paths from s1 and s3 eventually reach the state
s1, where p
r is true.
So AF(p
r) is true at s1 and s3.
- Hence AG(p
AF(p
r)) is true at s0.
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