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单词 logically equivalent
释义

logically equivalent

Two compound statements involving the same components are logically equivalent if they have the same truth tables. For example, the truth table for the statement (¬p) ∨ q is:

By comparing the last column here with the truth table for p ⇒ q (see implication), it can be seen that (¬p) ∨ q and p ⇒ q are logically equivalent. This equivalence is the basis of proof by contradiction.

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更新时间:2025/5/20 8:18:10