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Fun with logic
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| Beginning of discussion:http://chat.stackoverflow.com/transcript/message/9502109#9502109 | |
| Beginning of exercises shown below: http://chat.stackoverflow.com/transcript/message/9502812#9502812 | |
| Assumption: ↑ (nand) is defined | |
| not A = ¬A = A ↑ A | |
| A and B = A ∧ B = ¬(A ↑ B) | |
| A or B = A ∨ B = ¬(¬A ∧ ¬B) | |
| A → B = (A ∧ B) ∨ (¬A ∧ B) ∨ (¬A ∧ ¬B) = ¬(A ∧ ¬B) | |
| T = A → A ∧ ¬A | |
| T = A ∨ ¬A | |
| F = A → ¬A | |
| F = A ∧ ¬A | |
| A XOR B = (A ∧ ¬B) ∨ (¬A ∧ B) | |
| F = A XOR A |
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