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Question

Let Δ{,,,} be such that (pq)Δ((pq)q) is a tautology. Then Δ is equal to :

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Solution

(pq)q
(pq)q
=(pq)q
=(pq)(qq)
=(pq)T
=pq
Now (pq)Δ(pq)

pqppqpq(pq)Δ(pq)TTFTTTTFFFFTFTTFTTFFTFTT
Δ=

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