nLab
extension (semantics)

This entry is about the notion of extension in semantics. For the notion of extension in algebra, see there.

Contents

Idea

Given a proposition PP on terms of type XX, its extension is the type {xX|P(x)}\{x \in X | P(x)\} of all elements xx for which P(x)P(x) is true.

References

Revised on January 20, 2014 16:07:34 by Urs Schreiber (82.113.121.232)