The disjunction and related properties for constructive Zermelo-Fraenkel set theory

Journal of Symbolic Logic 70 (4):1233-1254 (2005)

Authors
Michael Rathjen
University of Leeds
Abstract
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.
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DOI http://projecteuclid.org/euclid.jsl/1129642124
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References found in this work BETA

The Strength of Some Martin-Löf Type Theories.Edward Griffor & Michael Rathjen - 1994 - Archive for Mathematical Logic 33 (5):347-385.
Formal Systems for Some Branches of Intuitionistic Analysis.G. Kreisel - 1970 - Annals of Pure and Applied Logic 1 (3):229.
Inaccessible Set Axioms May Have Little Consistency Strength.L. Crosilla & M. Rathjen - 2002 - Annals of Pure and Applied Logic 115 (1-3):33-70.
Realizability and Recursive Set Theory.Charles McCarty - 1986 - Annals of Pure and Applied Logic 32 (2):153-183.

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Citations of this work BETA

From the Weak to the Strong Existence Property.Michael Rathjen - 2012 - Annals of Pure and Applied Logic 163 (10):1400-1418.
Kripke Models for Subtheories of CZF.Rosalie Iemhoff - 2010 - Archive for Mathematical Logic 49 (2):147-167.

View all 8 citations / Add more citations

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