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Sigma KEE - AssociativeFunction
AssociativeFunction

appearance as argument number 1
-------------------------


(documentation AssociativeFunction ChineseLanguage "一个 BinaryFunction 属于关联性的如果 使用括号并没有影响 Function 所交出的值,更确切的说,对于所有的?INST1、 ?INST2 和 ?INST3, Function ?FUNCTION 是关联性的,以防(?FUNCTION ?INST1 (?FUNCTION ?INST2 ?INST3))和 (?FUNCTION (?FUNCTION ?INST1 ?INST2) ?INST3)相同。") chinese_format.kif 2000-2003
(documentation AssociativeFunction EnglishLanguage "A BinaryFunction is associative if bracketing has no effect on the value returned by the Function. More precisely, a Function ?FUNCTION is associative just in case (?FUNCTION ?INST1 (?FUNCTION ?INST2 ?INST3)) is equal to (?FUNCTION (?FUNCTION ?INST1 ?INST2) ?INST3), for all ?INST1, ?INST2, and ?INST3.") Merge.kif 3301-3306
(externalImage AssociativeFunction "http://upload.wikimedia.org/wikipedia/ commons/ e/ eb/ RelativeComplement.png") pictureList.kif 8353-8353
(subclass AssociativeFunction BinaryFunction) Merge.kif 3299-3299

appearance as argument number 2
-------------------------


(format ChineseLanguage AssociativeFunction "%1 和 %2 的 associative 功能") domainEnglishFormat.kif 208-208
(format ChineseTraditionalLanguage AssociativeFunction "%1 和 %2 的 associative 功能") domainEnglishFormat.kif 207-207
(format EnglishLanguage AssociativeFunction "the associative function of %1 and %2") domainEnglishFormat.kif 206-206
(instance AdditionFn AssociativeFunction) Merge.kif 4535-4535
(instance MaxFn AssociativeFunction) Merge.kif 4787-4787
(instance MinFn AssociativeFunction) Merge.kif 4813-4813
(instance MultiplicationFn AssociativeFunction) Merge.kif 4522-4522
(termFormat ChineseLanguage AssociativeFunction "结合函数") chinese_format.kif 921-921
(termFormat EnglishLanguage AssociativeFunction "associative function") english_format.kif 1054-1054

antecedent
-------------------------


(=>
    (instance ?FUNCTION AssociativeFunction)
    (forall (?INST1 ?INST2 ?INST3)
        (=>
            (and
                (domain ?FUNCTION 1 ?CLASS)
                (instance ?INST1 ?CLASS)
                (instance ?INST2 ?CLASS)
                (instance ?INST3 ?CLASS))
            (equal
                (AssignmentFn ?FUNCTION ?INST1
                    (AssignmentFn ?FUNCTION ?INST2 ?INST3))
                (AssignmentFn ?FUNCTION
                    (AssignmentFn ?FUNCTION ?INST1 ?INST2) ?INST3)))))
Merge.kif 3308-3318


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