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Use your knowledge of natural deduction in propositional logic, and your knowledge of the rules of replacement, to determine which of the following statements are true. Check all that apply. The statement "If you have p, then if you have q you also have r" is logically equivalent to the statement "If you have both p and q, then you also have r." The expression A ≡ C is logically equivalent to the expression (A • C) ∨ (~A • ~C). Rules of implication are "two-way" rules. The rules of replacement present pairs of logically equivalent statement forms that may replace each other within a proof sequence. The Transposition rule (Trans) is used to eliminate redundancy in disjunctions and conjunctions. Rules of replacement are basic argument forms. A ⊃ B is logically equivalent to ~B ∨ A. Rules of implication are applicable only to whole lines in a proof. The expression (B ⊃ G) • (G ⊃ B) is logically equivalent to the expression B ≡ G. According to the rule of material equivalence (Equiv), (p ⊃ q) :: (~q ⊃ ~p).

Name: use your knowledge of natural deduction in propositional logic and your knowledge of the rules of replacement to determine which of the following statements are true check all that apply the 36789
Uploaded: 2023-05-18T10:55:32-08:00
Duration: 3 min 47 s
Channel: Madhur L
Description: use your knowledge of natural deduction in propositional logic and your knowledge of the rules of replacement to determine which of the following statements are true check all that apply the 36789

          Use your knowledge of natural deduction in propositional logic, and your knowledge of the rules of replacement, to determine which of the following statements are true. Check all that apply.
 The statement "If you have p, then if you have q you also have r" is logically equivalent to the statement "If you have both p and q, then you also have r."
 The expression A ≡ C is logically equivalent to the expression (A • C) ∨ (~A • ~C).
 Rules of implication are "two-way" rules.
 The rules of replacement present pairs of logically equivalent statement forms that may replace each other within a proof sequence.
 The Transposition rule (Trans) is used to eliminate redundancy in disjunctions and conjunctions.
 Rules of replacement are basic argument forms.
 A ⊃ B is logically equivalent to ~B ∨ A.
 Rules of implication are applicable only to whole lines in a proof.
 The expression (B ⊃ G) • (G ⊃ B) is logically equivalent to the expression B ≡ G.
 According to the rule of material equivalence (Equiv), (p ⊃ q) :: (~q ⊃ ~p).

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