Last Updated :2025/11/27

existential instantiation

Noun
Japanese Meaning
(述語論理における)∃x P(x)という存在命題から、新たな定数記号(元々の議論領域に含まれていない記号)を導入し、P(c)という形で推論を進める規則。 / 述語論理において、存在を示す命題から、その存在する要素を新しい定数として具体化して、その性質を扱う推論手法。
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多くの論理学の教科書では、存在を表す式 ∃x P(x) を新しい定数 c に置き換えて P(c) を導くことを可能にする推論規則として紹介されている。

plural

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(logic) In predicate logic, an inference rule of the form ∃x P(x) ⊢ P(c), where c is a new symbol (not part of the original domain of discourse, but which can stand for an element of it (as in Skolemization)).

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existential instantiation

In many logic textbooks, existential instantiation is introduced as the rule that allows one to replace an existential formula ∃x P(x) with a new constant c and infer P(c).

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In many logic textbooks, existential instantiation is introduced as the rule that allows one to replace an existential formula ∃x P(x) with a new constant c and infer P(c).

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