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In: Computer Science

Use the laws of propositional logic to prove that the following compound propositions are tautologies. ((?...

Use the laws of propositional logic to prove that the following compound propositions are tautologies.

((? → ?) ∧ (? → ?)) → (? → ?)

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Ans:-

You should know :-

a ->(implies) b will be false only if a is true and b is false

a^b  will be true only if both a is true and b is true

If all cases are true then its tautology

Take all cases.

1 denotes True, 0 denotes False in below table

Please like the answer if it is helpful to you.

bomo : - Here pimplies True, o implies false p q r (eq) ( gr) (6) (169) MG) ( 9 ) / ) (fr) 0 0 0 1 1 o ao a - - ooo o - --0- --- - oo ---- o - --0-OOO- -- -0-0- 1 1 0 0-


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