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A variation of
is the number system :
The number system
generalizes the number system
by allowing a set of constraints to describe an interval's domain.
Each interval
can be described by a value
and a set of domain constraints ,
with and .
Parameter value is in the domain of interval
if
The definitions of interval inclusion and interval extension are
written as before,
but with the new semantics behind parameter inclusion.
The demotions and
demote from to
. As before,
and must preserve domain classifications.
The implementation of models is simpler in
than in .
A description of a simple implementation of a model
, of function ,
follows.
-
If g is total,
an evaluation of
would return an interval with a domain described by
.
-
If g is partial,
an evaluation of
would return an interval with a domain described by
,
where is a domain constraint introduced by
.
Next: 2.11.5 Simplicity
Up: 2.11 Interval Function Domains
Previous: 2.11.3 Domain Descriptions