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Kripke-Platek Set Theory and the Anti-Foundation Axiom
Mathematical Logic Quarterly 47 (4):435-440 (2001)
Abstract
The paper investigates the strength of the Anti-Foundation Axiom, AFA, on the basis of Kripke-Platek set theory without Foundation. It is shown that the addition of AFA considerably increases the proof theoretic strengthAuthor's Profile
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Citations of this work
A new model construction by making a detour via intuitionistic theories II: Interpretability lower bound of Feferman's explicit mathematics T 0.Kentaro Sato - 2015 - Annals of Pure and Applied Logic 166 (7-8):800-835.
The strength of extensionality I—weak weak set theories with infinity.Kentaro Sato - 2009 - Annals of Pure and Applied Logic 157 (2-3):234-268.
The strength of extensionality II—weak weak set theories without infinity.Kentaro Sato - 2011 - Annals of Pure and Applied Logic 162 (8):579-646.
References found in this work
Subsystems of set theory and second order number theory.Wolfram Pohlers - 1998 - In Samuel R. Buss (ed.), Handbook of proof theory. New York: Elsevier. pp. 137--209.
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