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Title: Heyting-valued interpretations for Constructive Set Theory
Authors: Gambino, Nicola
First Published: 2006
Citation: Annals of Pure and Applied Logic, 2006, 137 (01-Mar), pp.164-188
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.
DOI Link: 10.1016/j.apal.2005.05.021
ISSN: 0168-0072
Type: Article
Appears in Collections:Published Articles, Dept. of Computer Science

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