Abstract
AbstractWe introduce a new axiom scheme for constructive set theory, the Relation Reflection Scheme (RRS). Each instance of this scheme is a theorem of the classical set theory ZF. In the constructive set theory CZFâ, when the axiom scheme is combined with the axiom of Dependent Choices (DC), the result is equivalent to the scheme of Relative Dependent Choices (RDC). In contrast to RDC, the scheme RRS is preserved in Heytingâvalued models of CZFâ using setâgenerated frames. We give an application of the scheme to coinductive definitions of classes. (© 2008 WILEYâVCH Verlag GmbH & Co. KGaA, Weinheim)
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