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Figure 5: An ORM model including an ORM schema and sample fact populations
example, all fact types are unary or binary. We could add Movie was released in Country
in Year as a ternary fact type.
ORM classifi es business rules into constraints and derivation rules. The ORM model in
Figure 5 includes constraints but no derivations. The value constraint {'M', 'F'} indicates
value constraint
the possible sex codes. Arrow-tipped lines across one or more roles denote uniqueness con-
straints , indicating that instantiations of that role sequence must be unique. For example, the
uniqueness constraint on the fi rst role of Person is of Sex indicates that entries in the fact
column for that role must be unique. The English version of ORM's formal textual language
verbalizes this constraint as: each Person is of at most one Sex .
A solid dot (possibly circled) connected to a set of one or more roles denotes a man-
datory constraint over that role set. For example, the mandatory dot connected to the fi rst
datory constraint
role of Person is of Sex indicates that each Person is of some Sex . The mandatory dot
connected to the other two roles played by Person depicts an inclusive-or constraint : each
Person directed some Movie or reviewed some Movie (possibly both).
The O ir symbol connected to the roles of the fact type Movie is based on Movie
denotes the irrefl exive ring constraint : no Movie is based on itself . The circled subset
symbol “⊆” connected by an arrow from the fi rst role of Movie was reviewed by Person
to the fi rst role of Movie was directed by Person denotes a subset constraint , indicating
that the population of the fi rst role must always be a subset of the population of the second
role. In English: each Movie that was reviewed by some Persons also was directed
by some Person .
A subset constraint is one kind of set-comparison constraint. In general a set-comparison
constraint applies across sequences of compatible role sequences (of one or more roles).
Other varieties of set-comparison constraints are exclusion and equality constraints. For
example, the circled “X” in Figure 5 denotes an eXclusion constraint between the role-pairs
eXclusion constraint
that comprise the direction and review predicates. In English: no Movie was directed by
and reviewed by the same Person .
 
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