inclusive

<theory>

In domain theory, a predicate P : D -> Bool is inclusive iff

 For any {chain} C, a subset of D, and
 for all c in C,
 P(c) => P(lub C)

In other words, if the predicate holds for all elements of an increasing sequence then it holds for their least upper bound.

("lub is written in LaTeX as \sqcup).

Last updated: 1995-02-03

Nearby terms:

includeinclude warinclusiveincomparableincremental analysis

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