logically equivalent
Frequency: 6.27.8 per million words
Used for two statements that have the same truth value in all situations; if one is true, the other is true, and if one is false, the other is false.
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Examples (10)
- Statement A is logically equivalent to statement B if they always have the same truth value.
- In formal logic, two propositions are logically equivalent when they imply each other.
- The two mathematical expressions were proven to be logically equivalent despite their different forms.
- Understanding when statements are logically equivalent is crucial in proofs.
- Her argument, while phrased differently, was logically equivalent to his.
- The negation of a disjunction is logically equivalent to the conjunction of the negations.
- We must determine if these two conditions are logically equivalent before proceeding.
- These programming constructs are logically equivalent, offering different syntax for the same outcome.
- From a truth-functional perspective, these sentences are logically equivalent.
- The lawyer demonstrated that the defendant's two statements were not logically equivalent.