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QUESTION

Provide "semi-formal" natural deduction proofs of the following claims. You may not use any equivalence rules, only the eight natural deduction...

Provide "semi-formal" natural deduction proofs of the following claims. You may not use any equivalence rules, only the eight natural deduction inference rules.

(a) P ∨ (Q ∧ ¬ ¬ R), P → R ├ R

(b) (F ∧ G) ∨ (H → I), H ├ G ∨ I

(c) J → K ├ (J ∨ ¬ ¬ K) → K

(d) (A ∧ C) → D, A ∧ ¬ B ├ ¬(A → B) ∧ (C → D) 

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