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In logic, statements `p` and `q` are **logically equivalent** if they have the same logical content. This is a semantic concept; two statements are equivalent if they have the same truth value in every model (Mendelson 1979:56). The logical equivalence of `p` and `q` is sometimes expressed as , E*pq*, or .
However, these symbols are also used for material equivalence; the proper interpretation depends on the context. Logical equivalence is different from material equivalence, although the two concepts are closely related.

Logical equivalences involving conditional statements：

Logical equivalences involving biconditionals：

The following statements are logically equivalent:

This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Logical_equivalence

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