Countable models of set theories

In A. R. D. Mathias & Hartley Rogers (eds.), Cambridge Summer School in Mathematical Logic. New York,: Springer Verlag. pp. 539--573 (1973)
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The strength of Mac Lane set theory.A. R. D. Mathias - 2001 - Annals of Pure and Applied Logic 110 (1-3):107-234.
The self-embedding theorem of WKL0 and a non-standard method.Kazuyuki Tanaka - 1997 - Annals of Pure and Applied Logic 84 (1):41-49.
A Natural Model of the Multiverse Axioms.Victoria Gitman & Joel David Hamkins - 2010 - Notre Dame Journal of Formal Logic 51 (4):475-484.

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