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A = “I study data structure”,
B = “I study Bioinformatics”,
C = “I study programming”,
D = “I study discrete math”
a. The formula for the statement “I study Bioinformatics if I study programming and discrete math” is
b. The formula for the statement “I cannot study data structure when I do not study programming or discrete math” is
c. The formula for the statement “I study data structure if and only if I do not study Bioinformatics” is
Let’s consider a propositional language where
means “Paola is happy”,
means “Paola paints a picture”,
means “Renzo is happy”.
Let us write English statement that corresponds to the following compound propositions:
- The formula corresponds to the English statement: "If Paola is happy and she paints a picture, then Renzo is not happy".
- The formula correspons to the English statements: "It is not true that Paola is happy and she does not paint a picture" and "Paola is not happy or she paints a picture".