Consider the two following logical expressions: (1) (p → q) → r (2) p → (q → r) Let the first expression be X and the second expression be Y. With proof, determine which of the following (if any) is a tautology? (a) X → Y (b) Y → X

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A: Image is attached with detailed solution.

Q: Show, using truth tables, that (a) ¬(p V q) A r = -p^ (¬q ^ r), (b) -4 v (q V p) is a tautology.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.