Department of Mathematics, Ohio State University, Columbus. OH 43210., USA, E-mail: email@example.com
This paper proves that the disjunction property, the numerical existence property. Church's rule, and several other metamathematical properties hold true for Constructive Zermelo-Fraenkel Set Theory, CZF , and also for the theory CZF augmented by the Regular Extension Axiom.
As regards the proof technique, it features a self-validating semantics for CZF that combines realizability for extensional set theory and truth.
(Received September 28 2004)
(Revised May 23 2005)
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