The behaviors of a UseCase can be described by a set of Behaviors (through its ownedBehavior relationship), such as Interactions, Activities, and StateMachines, as well as by pre-conditions, post-conditions and natural language text where appropriate.

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Unified Modeling Language 2.5.1
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About Object Management Group copyright in text extracts quoted from OMG specifications for educational purposes
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INFO
UML keywords
UseCase
UseCase::subject
Behavior
BehavioredClassifier
BehavioredClassifier::ownedBehavior
Interaction
StateMachine
Behavior::precondition
Behavior::postcondition
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The behaviors of a UseCase can be described by a set of Behaviors (through its ownedBehavior relationship), such as Interactions, Activities, and StateMachines, as well as by pre-conditions, post-conditions and natural language text where appropriate.
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It may also be described indirectly through a Collaboration that uses the UseCase and its Actors as the Classifiers that type its parts.
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A subject for a set of UseCases (sometimes called a system boundary) may be shown as a rectangle with its name in the top-left corner, with the UseCase ellipses visually located inside this rectangle.
A UseCase may apply to any number of subjects. When a UseCase applies to a subject, it specifies a set of behaviors performed by that subject, which yields an observable result that is of value for Actors or other stakeholders of the subject.
A UseCase is a kind of BehavioredClassifier that represents a declaration of a set of offered Behaviors. Each UseCase specifies some behavior that a subject can perform in collaboration with one or more Actors.
UseCases define the offered Behaviors of the subject without reference to its internal structure. These Behaviors, involving interactions between the Actors and the subject, may result in changes to the state of the subject and communications with its...
A subject of a UseCase could be a system or any other element that may have behavior, such as a Component or Class.
Each UseCase specifies a unit of useful functionality that the subject provides to its users (i.e., a specific way of interacting with the subject). This functionality must always be completed for the UseCase to complete.
UseCases can be used both for specification of the (external) requirements on a subject and for the specification of the functionality offered by a subject.
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