Last Updated
：2025/11/21
proof by exhaustion
Noun
Japanese Meaning
有限個の各場合を個別に検証することにより、命題の正しさまたは誤りを確かめる論理的手法。 / 場合分けを行い、すべての可能なケースに対して検証を実施することで、命題の真偽を確定する方法。
（ plural ）
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(logic) The indirect verification or falsification of a statement by the verification or falsification of each of the finite number of cases which arise therefrom.
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proof by exhaustion
To verify the conjecture for all small integers, the team resorted to a proof by exhaustion, systematically checking each possible case.
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To verify the conjecture for all small integers, the team resorted to a proof by exhaustion, systematically checking each possible case.
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