See consensus theorem on Wiktionary
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{ "head_templates": [ { "args": { "1": "?" }, "expansion": "consensus theorem", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English multiword terms", "English nouns", "English nouns with unknown or uncertain plurals", "Pages with 1 entry", "Pages with entries", "en:Logic" ], "glosses": [ "The following theorem of Boolean algebra: XY+X'Z+YZ=XY+X'Z where YZ, the algebraically redundant term, is called the \"consensus term\", or its dual form (X+Y)(X'+Z)(Y+Z)=(X+Y)(X'+Z), in which case Y+Z is the consensus term. (Note: X+Y,X'+Z⊢Y+Z is an example of the resolution inference rule (replacing the + with ∨ and the prime with prefix ¬ might make this more evident).)" ], "links": [ [ "logic", "logic" ], [ "Boolean algebra", "Boolean algebra" ], [ "inference rule", "inference rule" ] ], "raw_glosses": [ "(logic) The following theorem of Boolean algebra: XY+X'Z+YZ=XY+X'Z where YZ, the algebraically redundant term, is called the \"consensus term\", or its dual form (X+Y)(X'+Z)(Y+Z)=(X+Y)(X'+Z), in which case Y+Z is the consensus term. (Note: X+Y,X'+Z⊢Y+Z is an example of the resolution inference rule (replacing the + with ∨ and the prime with prefix ¬ might make this more evident).)" ], "topics": [ "human-sciences", "logic", "mathematics", "philosophy", "sciences" ], "wikipedia": [ "consensus theorem" ] } ], "word": "consensus theorem" }
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