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Let A, B, and C be the compound propositions: A : (s ⊕ t) ∧ (¬s ∨ u), B : (s ∨ t) ⊕ (t ∧ u), C : ¬(s ∧ u). Make a truth table with the last three columns labeled by A, B, and C. Which of the six possible logical implications between pairs of A, B, and C are true, and why? Are any of A, B, and C logically equivalent to another?

Explore how to create a truth table for compound propositions A, B, and C. Understand the logical implications between these propositions and determine if any are logically equivalent. This problem involves core concepts in propositional logic and truth tables, suitable for undergraduate students.

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