Abstract
We construct two recursive models of fragments of set theory. We also show that the fragments of Kripke-Platek set theory that prove $ \varepsilon$-induction for $ \Sigma_1$-formulas have no recursive models but the standard model of the hereditarily finite sets.
Citation
Antonella Mancini. Domenico Zambella. "A Note on Recursive Models of Set Theories." Notre Dame J. Formal Logic 42 (2) 109 - 115, 2001. https://doi.org/10.1305/ndjfl/1054837937
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