Logical Equivalence
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, Epq, 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.
Read more about Logical Equivalence: Example, Relation To Material Equivalence
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—Karl Wilhelm Von Humboldt (1767–1835)