Free set algebras satisfying systems of equations

Journal of Symbolic Logic 64 (4):1656-1674 (1999)
G. Aldo Antonelli
University of California, Davis
In this paper we introduce the notion of a set algebra S satisfying a system E of equations. After defining a notion of freeness for such algebras, we show that, for any system E of equations, set algebras that are free in the class of structures satisfying E exist and are unique up to a bisimulation. Along the way, analogues of classical set-theoretic and algebraic properties are investigated
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DOI 10.2307/2586804
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Non-Well-Founded Sets Via Revision Rules.Gian Aldo Antonelli - 1994 - Journal of Philosophical Logic 23 (6):633 - 679.

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