Use a truth table to show that 3 q P→ "P is not a tautology. (This example shows that substitution isn't valid for inference rules, in general. Substituting the weaker statement, q, for the stronger statement, p, in the expression "p" doesn't work.) pq →9 P (P→ a) ^ "P ((P→ a) ^ "p) →q ?v ?✓ PEEE PEER T FT ? ? FF ? 24 2 ?~

Computer Networking: A Top-Down Approach (7th Edition)
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Use a truth table to show that
p+g} =
is not a tautology. (This example shows that substitution isn't valid for inference rules, in general. Substituting the weaker statement, q, for the stronger statement, p, in the expression "p" doesn't work.)
((p →g) ^¯p) → ¬9
P 9 → a "P (p →q) ^¯p
T T?v
? ✓
?✓
?✓
TF ? ?V
? ✓
FT
?v
?✓
FF ?v
?✓
79
****
?v
?
¬q
? ✓
|2v|
?v
? ✓
Transcribed Image Text:Use a truth table to show that p+g} = is not a tautology. (This example shows that substitution isn't valid for inference rules, in general. Substituting the weaker statement, q, for the stronger statement, p, in the expression "p" doesn't work.) ((p →g) ^¯p) → ¬9 P 9 → a "P (p →q) ^¯p T T?v ? ✓ ?✓ ?✓ TF ? ?V ? ✓ FT ?v ?✓ FF ?v ?✓ 79 **** ?v ? ¬q ? ✓ |2v| ?v ? ✓
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