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・ Boole's rule
・ Boole's syllogistic
・ Boolean
・ Boolean algebra
・ Boolean algebra (structure)
・ Boolean algebras canonically defined
・ Boolean analysis
・ Boolean circuit
・ Boolean conjunctive query
・ Boolean data type
・ Boolean delay equation
・ Boolean domain
・ Boolean expression
・ Boolean function
・ Boolean grammar
Boolean hierarchy
・ Boolean model (probability theory)
・ Boolean network
・ Boolean operation
・ Boolean operations on polygons
・ Boolean prime ideal theorem
・ Boolean ring
・ Boolean satisfiability problem
・ Boolean-valued
・ Boolean-valued function
・ Boolean-valued model
・ Booleo
・ Booleroo Centre
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Boolean hierarchy : ウィキペディア英語版
Boolean hierarchy
The boolean hierarchy is the hierarchy of boolean combinations (intersection, union and complementation) of NP sets. Equivalently, the boolean hierarchy can be described as the class of boolean circuits over NP predicates. A collapse of the boolean hierarchy would imply a collapse of the polynomial hierarchy.
== Formal definition ==

BH is defined as follows:
* BH1 is NP.
* BH2k is the class of languages which are the intersection of a language in BH2k-1 and a language in coNP.
* BH2k+1 is the class of languages which are the union of a language in BH2k and a language in NP.
* BH is the union of the BHi

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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