Ответ:
1.) ¬a ∧ ¬b ∨ ¬c
2.) a ∧ b ∨ c
3.) ¬a
Объяснение:
1. = (¬a ∧ ¬b ∧ ¬c) ∨ ¬b ∨ (¬a ∧ b ∧ ¬c ∧ a ∧ ¬b ∧ c) ∨ ¬a ∧ ¬b = (¬a ∧ ¬b ∧ ¬c) ∨ ¬b ∨ 0 ∨ ¬a ∧ ¬b = ((¬a ∧ ¬b) ∧ ¬c) ∨ ((¬a ∧ ¬b) ∧ 1) ∨ ¬b = (¬a ∧ ¬b) ∨ ¬c ∨ (1 ∧ ¬b) = ¬a ∧ ¬b ∨ ¬c
2. = (b ∨ c) ∧ ((a ∨ ¬b) ∨ c) = c ∨ (b ∧ (a ∨ ¬b)) = c ∨ (b ∧ a) ∨ (b ∧ ¬b) = a ∧ b ∨ c
3. = (¬a ∨ ¬(b ∧ c)) ∧ (¬a ∨ (b ∧ c)) = ¬a
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Ответ:
1.) ¬a ∧ ¬b ∨ ¬c
2.) a ∧ b ∨ c
3.) ¬a
Объяснение:
1. = (¬a ∧ ¬b ∧ ¬c) ∨ ¬b ∨ (¬a ∧ b ∧ ¬c ∧ a ∧ ¬b ∧ c) ∨ ¬a ∧ ¬b = (¬a ∧ ¬b ∧ ¬c) ∨ ¬b ∨ 0 ∨ ¬a ∧ ¬b = ((¬a ∧ ¬b) ∧ ¬c) ∨ ((¬a ∧ ¬b) ∧ 1) ∨ ¬b = (¬a ∧ ¬b) ∨ ¬c ∨ (1 ∧ ¬b) = ¬a ∧ ¬b ∨ ¬c
2. = (b ∨ c) ∧ ((a ∨ ¬b) ∨ c) = c ∨ (b ∧ (a ∨ ¬b)) = c ∨ (b ∧ a) ∨ (b ∧ ¬b) = a ∧ b ∨ c
3. = (¬a ∨ ¬(b ∧ c)) ∧ (¬a ∨ (b ∧ c)) = ¬a