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  BinaryFunction

 Sigma KEE - BinaryFunction
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BinaryFunction
The Class of Functions that require two arguments.
Relationships      
Parents Function A Function is a term-forming Relation that maps from a n-tuple of arguments to a range and that associates this n-tuple with at most one range element. Note that the range is a SetOrClass, and each element of the range is an instance of the SetOrClass.
  InheritableRelation The class of Relations whose properties can be inherited downward in the class hierarchy via the subrelation Predicate.
  TernaryRelation TernaryRelations relate three items. The two subclasses of TernaryRelation are TernaryPredicate and BinaryFunction.
Children AssociativeFunctionA 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.
 CommutativeFunctionA BinaryFunction is commutative if the ordering of the arguments of the function has no effect on the value returned by the function. More precisely, a function ?FUNCTION is commutative just in case (?FUNCTION ?INST1 ?INST2) is equal to (?FUNCTION ?INST2 ?INST1), for all ?INST1 and ?INST2.


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