Largest fixed points of set continuous operators and Boffa's Anti-Foundation

Mathematical Logic Quarterly 51 (4):365 (2005)
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Abstract

In Aczel [1], the existence of largest fixed points of set continuous operators is proved assuming the schema version of dependent choices in Zermelo-Fraenkel set theory without the axiom of Foundation. In the present paper, we study whether the existence of largest fixed points of set continuous operators is provable without the schema version of dependent choices, using Boffa's weak antifoundation axioms

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10.1002/malq.200410039

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Fixed-points of Set-continuous Operators.O. Esser, R. Hinnion & D. Dzierzgowski - 2000 - Mathematical Logic Quarterly 46 (2):183-194.
Dependent Choices and Anti-Foundation.Hisato Muraki - 2002 - Mathematical Logic Quarterly 48 (4):607-623.

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