Addendum to “Countable algebra and set existence axioms”

Annals of Pure and Applied Logic 28 (3):319-320 (1984)
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The Galvin-Prikry theorem and set existen axioms.Kazuyuki Tanaka - 1989 - Annals of Pure and Applied Logic 42 (1):81-104.
Hyperarithmetical relations in expansions of recursive structures.Alan D. Vlach - 1994 - Annals of Pure and Applied Logic 66 (2):163-196.

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Countable algebra and set existence axioms.Harvey M. Friedman - 1983 - Annals of Pure and Applied Logic 25 (2):141.

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