Article ID Journal Published Year Pages File Type
4662684 Annals of Pure and Applied Logic 2006 25 Pages PDF
Abstract

We define and investigate Heyting-valued interpretations for Constructive Zermelo–Frankel set theory (CZF). These interpretations provide models for CZF that are analogous to Boolean-valued models for ZF and to Heyting-valued models for IZF. Heyting-valued interpretations are defined here using set-generated frames and formal topologies. As applications of Heyting-valued interpretations, we present a relative consistency result and an independence proof.

Related Topics
Physical Sciences and Engineering Mathematics Logic