Last Updated
：2025/11/29
Herbrand function
Noun
Japanese Meaning
（論理学）普遍量化子により束縛された変数が、偶数回の論理否定のスコープ内にある場合に、その変数を置換するための関数。なお、この関数は、置換される変数の残りの束縛変数を用いた関数として定義される。
（ plural ）
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(logic) A function which replaces a variable bound by a universal quantifier which lies in the scope of an even number of logical negations; such function is a function of the remaining bound variables whose scope contain the given variable (being replaced).
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Herbrand function
In automated theorem proving, the Herbrand function replaces variables bound by a universal quantifier that lie within the scope of an even number of logical negations, simplifying formulas for unification.
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In automated theorem proving, the Herbrand function replaces variables bound by a universal quantifier that lie within the scope of an even number of logical negations, simplifying formulas for unification.
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