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MyWikiBiz, Author Your Legacy — Sunday November 24, 2024
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==Glossary of basic terms==
 
==Glossary of basic terms==
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* A '''[[boolean domain]]''' <math>\mathbb{B}</math> is a generic 2-element [[set]], say, <math>\mathbb{B} = \{ 0, 1 \},</math> whose elements are interpreted as [[logical value]]s, usually but not invariably with <math>0 = \operatorname{false}</math> and <math>1 = \operatorname{true}.</math>
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* A '''[[boolean domain]]''' <math>\mathbb{B}</math> is a generic 2-element [[set]], for example, <math>\mathbb{B} = \{ 0, 1 \},</math> whose elements are interpreted as [[logical value]]s, usually but not invariably with <math>0 = \operatorname{false}</math> and <math>1 = \operatorname{true}.</math>
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* A '''[[boolean variable]]''' ''x'' is a [[variable]] that takes its value from a boolean domain, as ''x''&nbsp;&isin;&nbsp;'''B'''.  
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* A '''[[boolean variable]]''' <math>x\!</math> is a [[variable]] that takes its value from a boolean domain, as <math>x \in \mathbb{B}.</math>
    
* In situations where [[boolean value]]s are interpreted as [[logical value]]s, a [[boolean-valued function]] ''f''&nbsp;:&nbsp;''X''&nbsp;→&nbsp;'''B''' or a [[boolean function]] ''g''&nbsp;:&nbsp;'''B'''<sup>''k''</sup>&nbsp;→&nbsp;'''B''' is frequently called a '''[[proposition]]'''.
 
* In situations where [[boolean value]]s are interpreted as [[logical value]]s, a [[boolean-valued function]] ''f''&nbsp;:&nbsp;''X''&nbsp;→&nbsp;'''B''' or a [[boolean function]] ''g''&nbsp;:&nbsp;'''B'''<sup>''k''</sup>&nbsp;→&nbsp;'''B''' is frequently called a '''[[proposition]]'''.
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