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(a) Use rules of inference and laws of logical equivalence to prove the following: (p → q) ∧ (r → s) ∧ [t → ¬(q ∨ s)] ∧ t ⇒ (¬p ∧ ¬r) (b) Use the MATLAB program truth.m and a modified version of propos.m to verify the valid- ity of the inference in part (a).
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