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・ Completeness (cryptography)
Completeness (knowledge bases)
・ Completeness (logic)
・ Completeness (order theory)
・ Completeness (statistics)
・ Completeness of atomic initial sequents
・ Completeness of the real numbers
・ Completer
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・ Completing the square
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・ Completion (American football)
・ Completion (oil and gas wells)
・ Completion guarantee
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Completeness (knowledge bases) : ウィキペディア英語版
Completeness (knowledge bases)
A knowledge base KB is complete ''if'' there is no formular α such that KB ⊭ α and KB ⊭ ¬α.
Example of knowledge base with incomplete knowledge:
KB :=
Then we have KB ⊭ A and KB ⊭ ¬A.
In some cases, you can make a consistent knowledge base complete with the closed world assumption - that is, adding all not-entailed literals as negations to the knowledge base. In the above example though, this would not work because it would make the knowledge base inconsistent:
KB' =
In the case you have KB := , you have KB ⊭ P(b) and KB ⊭ ¬P(b), so with the closed world assumption you would get KB' = where you have KB' ⊨ ¬P(b).
See also:
* Vivid knowledge



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