Abstract
AbstractThis 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.
Publisher
Cambridge University Press (CUP)
Reference32 articles.
1. Realizability and recursive set theory
2. McCarty D. C. , Realizability and recursive mathematics, Ph.D. thesis, Oxford University, 1984.
Cited by
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