Compute the truth-values of the following compound sentences, where A, B, and C are true; X, Y,
and Z are false; and P and Q are of unknown truth-value.
1. ~ B ο X
2. A β’ ~ Z
3. ~ X ο ~ C
4. (B οΊ C) ο (X β’ Y)
5. ~ (C ο (X β’ ~ Y))
6. (X ο ~ A) ο (~ Z β’ B)
7. ~ (A ο ~ X) ο (C β’ ~ Y)
8. A ο (~ X β’ ~ (C οΊ Y))
9. ~ (~Z ο ~ (~ (A οΊ B) ο ~ X))
10. ~ (A οΊ ~ (~ C ο ( B β’ ~ X))) οΊ (~ ((~ Y ο ~ A) ο ~B) β’ (A ο (((B οΊ ~ X) οΊ Z) ο ~Y)))
11. ~ X ο (Q ο Z)
12. ~ Q β’ (A ο (P β’ ~ B))
13. ~ (Q β’ ~ Z) ο (~ P ο C)
14. ~ (~ (A β’ B) ο ((P ο ~ C) οΊ (~ X ο Q)))
15. ~ P ο (Q ο P)
