Construct truth-functional paraphrases of the following sentences and symbolize those paraphrases in SL, using the following symbolization key.
P: The Red Sox improve their pitching
G: The Red Sox have a good chance of winning the American League pennant.
Y: The Yankees will win the pennant.
F: The Red Sox will falter
T: The Twins win tonight
M: The Mariners win tonight
A: The Angels win tonight
I: The Indians win tonight
S: The Indians' starting pitcher can go the full nine innings
N: The Angels move into first place
H: The rain stops within an hour
G: the game will be postponed
R: The Royals are in the running for the pennant
Questions:
1. The Yankees will win the pennant if the Red Sox falter and the Twins lose tonight.
2. Assuming the rain stops within an hour, the game will not be postponed.
3. The Angels will move into first place only if the Twins and Indians lose tonight.
4. The Red Sox have a good chance of winning the pennant if and only if the Mariners and the Angels and the Twins all lose tonight.
5. The Red Sox have a good chance of winning the American League pennant, but the Yankees will win the pennant if either the Red Sox falter or the Twins, the Angels, and the Mariners all win tonight.