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11. Consider two well-formed formulas in propositional logic F1 : P →˥P F2 : (P →˥P) v ( ˥P →) Which of the following statement is correct?
F1 is satisfiable, F2 is unsatisfiable
F1 is unsatisfiable, F2 is satisfiable
F1 is unsatisfiable, F2 is valid
F1 & F2 are both satisfiable
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12. What can we correctly say about proposition P1: P1 : (p v ˥q) ^ (q →r) v (r v p)
P1 is tautology
P1 is satisfiable
If p is true and q is false and r is false, the P1 is true
If p as true and q is true and r is false, then P1 is true
13. (P v Q) ^ (P → R )^ (Q →S) is equivalent to
S ^ R
S → R
S v R
All of above
14. The functionally complete set is
{ ˥, ^, v }
{↓, ^ }
{↑}
Both (b) and (c)
15. (P v Q) ^ (P→R) ^ (Q → R) is equivalent to
P
Q
R
True = T
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