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Entity > Abstract > Class > Relation > Function > BinaryFunction > AssociativeFunction
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AssociativeFunction
subjectfact 
AssociativeFunctiondocumentation 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 ?INST32001-11-30 13:33:39.0
has axiom
(=>
(instance ?FUNCTION AssociativeFunction)
(forall (?INST1 ?INST2 ?INST3)
(=>
(and
(instance ?INST1 (DomainFn ?FUNCTION))
(instance ?INST2 (DomainFn ?FUNCTION))
(instance ?INST3 (DomainFn ?FUNCTION)))
(equal (AssignmentFn ?FUNCTION ?INST1 (AssignmentFn ?FUNCTION ?INST1 ?INST2))
(AssignmentFn ?FUNCTION (AssignmentFn ?FUNCTION ?INST1 ?INST2) ?INST3)))))
2001-11-30 13:33:39.0
is a kind of BinaryFunction2001-11-30 13:33:39.0
BinaryFunctionis first domain of distributes2001-11-30 13:33:43.0
is first domain of identityElement2001-11-30 13:33:43.0
is second domain of distributes2001-11-30 13:33:43.0
Classis third domain of domain2001-11-30 13:33:51.0
is third domain of domainSubclass2001-11-30 13:33:51.0
Abstractis disjoint from Physical2001-11-30 13:33:32.0

Kinds of AssociativeFunction :