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Heyting-valued interpretations for Constructive Set Theory

By Nicola Gambino

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

Year: 2006
DOI identifier: 10.1016/j.apal.2005.05.021
OAI identifier: oai:lra.le.ac.uk:2381/1823
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