Last Updated
：2025/11/29
elementary equivalence
Noun
Japanese Meaning
（論理学）二つの構造間において、任意の第一階論理式が一方の構造で成り立つならばもう一方でも成り立つという性質を有する関係。
（ plural ）
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(logic) A relation between two structures which have the property that every first-order formula is valid in one structure if and only if it is valid in the other.
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elementary equivalence
Although the structures are not isomorphic, they still have elementary equivalence because every first-order sentence true in one is true in the other.
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Although the structures are not isomorphic, they still have elementary equivalence because every first-order sentence true in one is true in the other.
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