## 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:

include ♦ include war ♦ **inclusive** ♦ incomparable ♦ incremental analysis

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