how to transform 2 and 3 english sentences into expression consisting of logical connectives and propostion v…
Sajal Gupta
how to transform 2 and 3 english sentences into expression consisting of logical connectives and propostion variables.
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KG AI MentorKG AI Mentor
Quick Answer2: Let C = "you can ride the roller coaster", U = "you are under 4 ft tall", O = "you are older than 16". The sentence is (U ∧ ¬O) → ¬C (equivalently C → (¬U ∨ O)). 3: Let S = "the automated reply can be sent", F = "the file system is full". The sentence is F → ¬S. Key StepsDefine propositional variables for the atomic statements (shown above). Translate the English conditional/unless: - "X unless Y" = ¬Y → X (or X ∨ Y). Here "cannot ride if under 4 ft unless older than 16" means "if under 4 ft and not older than 16, then cannot ride": (U ∧ ¬O) → ¬C. - "…cannot be sent when F is full" is a simple conditional: if F then not sent: F → ¬S. — KG AI Mentor 🤖