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|Title:||Heyting-valued interpretations for Constructive Set Theory|
|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.|
|Appears in Collections:||Published Articles, Dept. of Computer Science|
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